Abo-Shaeer, . R., Raman, C., Vogels, J. M., and Ketterle, W. 2001. Observation of vortex lattices in Bose–Einstein condensates. Science, 292, 476–479.
Abramowitz, M., and Stegun, I. A. 1972. Handbook of Mathematical Functions. Dover.
Abrikosov, A. A. 1957. On the magnetic properties of superconductors of the second group. Zh. Eksp. Teor. Fiz., 32, 1442–1452 [Sov. Phys.–JETP, 5, 1174–1182 (1957)].
Adachi, H., Fujiyama, S., and Tsubota, M. 2010. Steady-state counterflow quantum turbulence: simulation of vortex filaments using the full Biot-Savart law. Phys. Rev. B, 81, 104511.
Adams, P.W., and Glaberson, W. I. 1987. Vortex dynamics in superfluid helium films. Phys. Rev. B, 35, 4633–4652.
Adams, P. W., Cieplak, M., and Glaberson, W. I. 1985. Spin-up problem in superfluid 4He. Phys. Rev. B, 32, 171–177.
Aftalion, A., Blanc, X., and Dalibard, J. 2005. Vortex patterns in a fast rotating Bose- Einstein condensate. Phys. Rev. A, 71, 023611.
Aharonov, Y., and Bohm, D. 1959. Significance of electromagnetic potentials in the quantum theory. Phys. Rev., 115, 485–491.
Alekseenko, S. V., Kuibin, P. A., and Okulov, V. L. 2007. Theory of Concentrated Vortices. Springer.
Alpar, M. A. 1978. Relaxation of rotating He II following a spin-up of its container: a superfluid Ekman time? J. Low Temp. Phys., 31, 803–815.
Ambegaokar, V., and Teitel, S. 1979. Dynamics of vortex pairs in superfluid films. Phys. Rev B, 19, 1667–1670.
Ambegaokar, V., Halperin, B. I., Nelson, D. R., and Siggia, E. D. 1978. Dissipation in two-dimensional superfluids. Phys. Rev. Lett., 40, 783–786.
Ambegaokar, V., Halperin, B. I., Nelson, D. R., and Siggia, E. D. 1980. Dynamics of superfluid films. Phys. Rev. B, 21, 1806–1826.
Andereck, C. D., and Glaberson, W. I. 1982. Tkachenko waves. J. Low Temp. Phys., 48, 257–296.
Andereck, C. D., Chalupa, L., and Glaberson, W. I. 1980. Tkachenko waves in rotating superfluid helium. Phys. Rev. Lett., 44, 33–36.
Anderson, B., Haljan, P., Wieman, C., and Cornell, E. 2000. Vortex precession in Bose– Einstein condensates: observations with filled and empty cores. Phys. Rev. Lett., 85, 2857–2860.
Anderson, P. W. 1966. Considerations on the flow of superfluid helium. Rev. Mod. Phys., 38, 298–310.
Anderson, P. W., and Morel, P. 1961. Generalized Bardeen–Coope–Schrieffer states and the proposed low-temperature phase of iquid He3. Phys. Rev., 123, 1911–1934.
Anderson, P. W., and Toulouse, G. 1977. Phase slippage without vortex cores: vortex textures in superfluid 3He. Phys. Rev. Lett., 38, 508–511.
Andreev, A. F. 1964. The thermal conductivity of the intermediate state in superconductors. Zh. Eksp. Teor. Fiz., 46, 1823–1828 [Sov. Phys.–JETP, 19, 1228–1231 (1964)].
Andreev, A. F., and Kagan, M. Yu. 1984. Hydrodynamics of a rotating superfluid liquid. Zh. Eksp. Teor. Fiz., 86, 546–557 [Sov. Phys.–JETP, 59, 318–324 (1984)].
Andronikashvili, E. L. 1946. A direct observation of two kinds of motion in helium II. J. Phys. (USSR), 10, 201–206.
Andronikashvili, E. L., and Mamaladze, Yu. G. 1966. Quantization of macroscopic motions and hydrodynamics of rotating helium II. Rev. Mod. Phys., 38, 567–625.
Andronikashvili, E. L., and Mamaladze, Yu. G. 1967. Rotation of helium II. Pages 79–160 of: Gorter, C. J. (ed.), Progress in Low Temperature Physics, vol. 5. North-Holland.
Andronikashvili, E. L., Mamaladze, Yu. G., Matinyan, S. G., and Tsakadze, J. S. 1961. Properties of the quantized vortices generated by the rotation of helium II. Usp. Fiz. Nauk, 73, 1–22 [Sov. Phys.–Usp., 4, 3–40 (1961)].
Anglin, J. R., and Crescimanno, M. 2002. Inhomogeneous vortex matter. arXiv: condmat/ 0210063.
Ao, P., and Thouless, D. J. 1993. Berry's phase and the Magnus force for a vortex line in a superconductor. Phys. Rev. Lett., 70, 2158–2161.
Araki, T., Tsubota, M., and Nemirovskii, S. K. 2002. Energy spectrum of superfluid turbulence with no normal-fluid component. Phys. Rev. Lett., 89, 145301.
Arkhipov, R.G. 1957. Flow instability of a superfluid film. Zh. Eksp. Teor. Fiz., 33, 116–123 [Sov. Phys.–JETP, 6, 90–96 (1958)].
Arms, R. J., and Hama, F. R. 1965. Localized-induction concept on a curved vortex and motion of an elliptic vortex ring. Phys. Fluids, 8, 553–559.
Aronov, A. G., Gal'perin, Yu. M., Gurevich, V. L., and Kozub, V. I. 1981. The Boltzmannequation description of transport in superconductors. Adv. Phys., 30, 539–592.
Ashton, R. A., and Glaberson, W. I. 1979. Vortex waves in superfluid 4He. Phys. Rev. Lett., 42, 1062–1064.
Auerbach, A., Arovas, D. P., and Ghosh, S. 2006. Quantum tunneling of vortices in twodimensional condensates. Phys. Rev. B, 74, 064511.
Babuin, S., Varga, E., Vinen, W. F., and Skrbek, L. 2015. Quantum turbulence of bellowsdriven 4He superflow: decay. Phys. Rev B, 92, 184503.
Baggaley, A. W., and Laizet, S. 2013. Vortex line density in counterflowing He II with laminar and turbulent normal fluid velocity profiles. Phys. Fluids, 25, 115101.
Baggaley, A. W., and Laurie, J. 2014. Kelvin-wave cascade in the vortex filament model. Phys. Rev. B, 89, 014504.
Baksmaty, L. O.,Woo, S. J., Choi, S., and Bigelow, N. P. 2004. Tkachenko waves in rapidly rotating Bose–Einstein condensates. Phys. Rev. Lett., 92, 160405.
Bardeen, J., and Johnson, J. L. 1972. Josephson current flow in pure superconducting– normal–superconducting junctions. Phys. Rev. B, 5, 72–78.
Barenghi, C. F., Donnelly, R. J., and Vinen, W. F. 1983. Friction on quantized vortices in helium II. A review. J. Low Temp. Phys., 52, 189–247.
Barenghi, C. F., Donnelly, R. J., and Vinen, W. F. 1985. Thermal excitation of waves on quantized vortices. Phys. Fluids, 28, 498–504.
Barenghi, C. F., Hänninen, R., and Tsubota, M. 2006. Anomalous translational velocity of vortex rings with finite-amplitude Kelvin waves. Phys. Rev. E, 74, 046303.
Barenghi, C. F., Sergeev, Y. A., Suramlishvili, N., and van Dijk, P. J. 2009. Interaction of ballistic quasiparticles and vortex configurations in superfluid 3He-B. Phys. Rev. B, 79, 024508.
Barenghi, C. F., L'vov, V. S., and Roche, P.-E. 2014. Experimental, numerical, and analytical velocity spectra in turbulent quantum fluid. PNAS, 111(suppl.1), 4683– 4690.
Batchelor, G. K. 1970. An Introduction to Fluid Dynamics. Cambridge University Press.
Baym, G. 2003. Tkachenko modes of vortex lattices in rapidly rotating Bose–Einstein condensates. Phys. Rev. Lett., 91, 110402.
Baym, G. 2004. Vortex lattices in rapidly rotating Bose–Einstein condensates: modes and correlation functions. Phys. Rev. A, 69, 043618.
Baym, G., and Chandler, E. 1983. The hydrodynamics of rotating superfluids. I. Zerotemperature, nondissipative theory. J. Low Temp. Phys., 50, 57–87.
Baym, G., and Pethick, C. J. 2004. Vortex core structure and global properties of rapidly rotating Bose–Einstein condensates. Phys. Rev. A, 69, 043619.
Baym, G., Pethick, C., Pines, D., and Ruderman, M. 1969. Spin up in neutron stars: the future of the Vela pulsar. Nature (London), 224, 872–874.
Bekarevich, I. L., and Khalatnikov, I. M. 1961. Phenomenological derivation of the equations of vortex motion in He II. Zh. Eksp. Teor. Fiz., 40, 920–925 [Sov. Phys.–JETP, 13, 643–646 (1961)].
Bendt, P. J., and Oliphant, T. A. 1961. Hydrodynamics of helium II in annular geometry. Phys. Rev. Lett., 6, 213–215.
Berezinskii, V. L. 1970. Destruction of long-range order in one-dimensional and twodimensional systems having a continuous symmetry group. I. Classical systems. Zh. Eksp. Teor. Fiz., 59, 907–920 [Sov. Phys.–JETP, 32, 493–500 (1970)].
Berezinskii, V. L. 1971. Destruction of long-range order in one-dimensional and twodimensional systems possessing a continuous symmetry group. II. Quantum systems. Zh. Eksp. Teor. Fiz., 61, 1144–1156 [Sov. Phys.–JETP, 34, 610–616 (1972)].
Berry, M. V. 1984. Quantal phase factors accompanying adiabatic changes. Proc. R. Soc. London Ser. A, 392, 45–57.
Berry, M. V. 2010. Asymptotics of the many-whirls representation for Aharonov–Bohm scattering. J. Phys. A, 43, 354002.
Berry, M. V., Chambers, R. G., Large, M. D., Upstill, C., and Walmsley, J. C. 1980. Wavefront dislocations in the Aharonov–Bohm effect and its water wave analogue. Eur. J. Phys., 1, 154–162.
Bevan, T. D. C., Manninen, A. J., Cook, J. B., Hook, J. R., Hall, H. E., Vachaspati, T., and Volovik, G. E. 1997a. Momentogenesis by 3He vortices: an experimental analog of primordial baryogenesis. Nature, 386, 689–692.
Bevan, T. D. C., Manninen, A. J., Cook, J. B., Alles, H., Hook, J. R., and Hall, H. E. 1997b. Vortex mutual friction in superfluid 3He. J. Low Temp. Phys., 109, 423–459.
Bewley, G. P., Lathrop, D. P., Maas, L. R. M., and Sreenivasan, K. R. 2007. Inertial waves in rotating grid turbulence. Phys. Fluids, 19, 071701.
Bishop, D. J., and Reppy, J. D. 1978. Study of the superfluid transition in two-dimensional 4He films. Phys. Rev. Lett., 40, 1727–1730.
Bishop, D. J., and Reppy, J. D. 1980. Study of the superfluid transition in two-dimensional 4He films. Phys. Rev. B, 22, 5171–5185.
Blatter, G., Feigel'man, M. V., Geshkenbein, V. B., Larkin, A. I., and Vinokur, V. M. 1994. Vortices in high-temperature superconductors. Rev. Mod. Phys., 66, 1125–1388.
Bloch, I., Dalibard, J., and Zwerger, W. 2008. Many-body physics with ultracold gases. Rev. Mod. Phys., 80, 885–964.
Blonder, G. E., Tinkham, M., and Klapwijk, T. M. 1982. Transition from metallic to tunneling regimes in superconducting microconstrictions: excess current, charge imbalance, and supercurrent conversion. Phys. Rev. B, 25, 4515–4532.
Bobbert, P. A. 1992. Simulation of vortex motion in underdamped two-dimensional arrays of Josephson junctions. Phys. Rev. B, 45, 7540–7543.
Bogolyubov, N. N. 1947. On the theory of superfluidity. J. Phys. (USSR), 11, 23–32.
Booss-Bavnbek, B., and Wojciechowski, K. P. 1993. Elliptic Boundary Problems for Dirac Operators, Birkhäuser. Chapter 17.
Boué, L., L'vov, V., and Procaccia, I. 2012. Temperature suppression of Kelvin-wave turbulence in superfluids. Europhys. Lett., 99, 46003.
Bowley, R.M., Kirk, A., and King, P. J. 1992. Phase slippage in thin superfluid films. J. Low Temp. Phys., 88, 73–99.
Brandt, E. H. 1969. Die Behandlung von Fehlern im Flußliniengitter der Supraleiter 2. Art in der Nähe von Hc2. Phys. Status Solidi, 36, 381–391.
Brandt, E. H. 1995. The flux-line lattice in superconductors. Rep. Prog. Phys., 58, 1465– 1594.
Braude, V., and Sonin, E. B. 2006. Orbital magnetic dynamics in chiral p-wave superconductors. Phys. Rev. B, 74, 064501.
Bretin, V., Rosenbusch, P., Chevy, F., Shlyapnikov, G. V., and Dalibard, J. 2003. Quadrupole oscillation of a single-vortex Bose–Einstein condensate: evidence for Kelvin modes. Phys. Rev. Lett., 90, 100403.
Brinkman, W. F., and Cross, M. C. 1978. Spin and orbital dynamics of superfluid 3He. Pages 105–190 of: Brewer, D. F. (ed.), Progress in Low Temperature Physics, vol. 7A. North-Holland.
Brown, Y. J., and Hess, G. B. 1982. Inhomogeneous nucleation of superfluid vorticity at a sharp edge. J. Low Temp. Phys., 49, 267–277.
Buerger, M. J. 1963. Elementary Crystallography. An Introduction to the Fundamental Geometrical Features of Crystalls. Wiley.
Caldeira, A. O., and Leggett, A. J. 1983. Quantum tunneling in a dyssipative system. Ann. Phys. (N.Y.), 149, 374–456.
Campbell, L. J. 1981. Transverse normal modes of finite vortex arrays. Phys. Rev. A, 24, 514–534.
Campbell, L. J., and Krasnov, Yu. K. 1981. Edge waves of a vortex continuum. Phys. Lett. A, 84, 75–79.
Campbell, L. J., and Krasnov, Yu. K. 1982. Transient behavior of rotating superfluid helium. J. Low Temp. Phys., 49, 377–396.
Campbell, L. J., and Ziff, R. M. 1979. Vortex patterns and energies in a rotating superfluid. Phys. Rev. B, 20, 1886–1902.
Caroli, C., de Gennes, P. G., and Matricon, J. 1964. Bound fermion states on a vortex line in a type II superconductor. Phys. Lett., 9, 307–309.
Cazalilla, M. 2003. Surface modes of ultracold atomic clouds with a very large number of vortices. Phys. Rev. A, 67, 063613.
Cerda-Mèndez, E. A., Krizhanovskii, D. N., Wouters, M., Bradley, R., Biermann, K., Guda, K., Hey, R., Santos, P. V., Sarkar, D., and Skolnick, M. S. 2010. Polariton condensation in dynamic acoustic lattices. Phys. Rev. Lett., 105, 116402.
Chandler, E., and Baym, G. 1986. The hydrodynamics of rotating superfluids. II. Finite temperature, dissipation theory. J. Low Temp. Phys., 62, 119–142.
Cheng, D. K., Cromar, M. W., and Donnelly, R. J. 1973. Influence of an axial heat current on negative-ion trapping in rotating helium II. Phys. Rev. Lett., 31, 433–436.
Cheng, M., Lou, J., and Lim, T. T. 2010. Vortex ring with swirl: a numerical study. Phys. Fluids, 22, 097101.
Cleary, R. M. 1968. Scattering of single particle excitations by a vortex in a clean type II superconductor. Phys. Rev., 175, 587.
Clem, J. R.,Weigand, M., Durrell, J. H., and Campbell, A. M. 2011. Theory and experiment testing flux-line-cutting physics. Supercond. Sci. Technol., 24, 062002.
Coddington, I., Engels, P., Schweikhard, V., and Cornell, E. A. 2003. Observation of Tkachenko oscillations in rapidly Rotating Bose–Einstein condensates. Phys. Rev. Lett., 91, 100402.
Combescot, R., and Dombre, T. 1986. Twisting in superfluid 3He-A and consequences for hydrodynamics at T = 0. Phys. Rev. B, 33, 79–90.
Cooper, N. R. 2008. Rapidly rotating atomic gases. Adv. Phys., 6, 539–616.
Cooper, N. R., Wilkin, N. K., and Gunn, J. M. F. 2001. Quantum phases of vortices in rotating Bose–Einstein condensates. Phys. Rev. Lett., 87, 120405.
Cooper, N. R., Komineas, S., and Read, N. 2004. Vortex lattices in the lowest Landau level for confined Bose–Einstein condensates. Phys. Rev. A, 70, 033604.
Cozzini, M., Pitaevskii, L. P., and Stringari, S. 2004. Tkachenko oscillations and the compressibility of a rotating Bose–Einstein condensate. Phys. Rev. Lett., 92, 220401.
Cozzini, M., Stringari, S., and Tozzo, C. 2006. Vortex lattices in Bose–Einsten condensates: from the Thomas–Fermi regime to the lowest-Landau-level regime. Phys. Rev. A, 73, 023615.
Cross, M. C. 1975. A generalized Ginzburg–Landau approach to the superfluidity of helium 3. J. Low Temp. Phys., 21, 525–534. Erratum, 24, 261.
Cross, M. C. 1977. Orbital dynamics of the Anderson–Brinkman–Morel phase of superfluid 3He. J. Low Temp. Phys., 26, 165–191.
Cross, M. C. 1983. Flow dissipation in the 3He superfluids. Page 325 of: Adams, E. D., and Ihas, J. J. (eds.), Quantum Fluids and Solids. American Institute of Physics.
Curran, P. J., Bending, S. J., Desoky, W. M., Gibbs, A. S., Lee, S. L., and Mackenzie, A. P. 2014. Search for spontaneous edge currents and vortex imaging in Sr2RuO4 mesostructures. Phys. Rev. B, 89, 144504.
Dalfovo, F., Giorgini, S., Pitaevskii, L. P., and Stringari, S. 1999. Theory of Bose–Einstein condensation in trapped gases. Rev. Mod. Phys., 71, 463–512.
Davidson, P. A. 2013. Turbulence in Rotating, Stratified, and Electrically Conducting Fluids. Cambridge University Press.
Davis, J. C., Close, J. D., Zieve, R., and Packard, R. E. 1991. Observation of quantized circulation in superfluid 3He-B. Phys. Rev. Lett., 66, 329–332.
Davis, J. C., Steinhauer, J., Schwab, K., Mukharsky, Yu. M., Sasaki, A.Amarand, Y., and Packard, R. E. 1992. Evidence for quantum tunneling of phase-slip vortices in superfluid 4He. Phys. Rev. Lett., 69, 323–326.
Davis, S. I., Hendry, P. C., McClintock, P. V. E., and Nichol, H. 2001. Experiments on quantized turbulence at mK temperatures. Pages 73–79 of: Barenghi, C. F., Donnelly, R. J., and Vinen, W. F. (eds.), Quantized Vortex Dynamics and Superfluid Turbulence. Springer-Verlag.
de Gennes, P. G. 1966. Superconductivity of Metals and Alloys. Benjamin.
Donnelly, R. J. 1991. Quantized Vortices in Helium II. Cambridge University Press.
Dorsey, A. T. 1992. Vortex motion and the Hall effect in type-II superconductors: a timedependent Ginzburg-Landau theory approach. Phys. Rev. B, 46, 8376–8392.
Duan, J.-M. 1994. Mass of a vortex line in superfluid 4He: effects of gauge-symmetry breaking. Phys. Rev. B, 49, 12381–12383.
Duan, J.-M., and Leggett, A. J. 1992. Inertial mass of a moving singularity in a Fermi superfluid. Phys. Rev. Lett., 68, 1216–1219. Erratum, 69, 1148.
Dyson, F. 1971. Neutron Stars and Pulsars. Fermi Lectures. Accademia Nazionale dei Lincei, Roma.
Eckern, U., and Schmid, A. 1989. Quantum vortex dynamics in granular superconducting films. Phys. Rev. B, 39, 6441–6454.
Eltsov, V. B., Finne, A. P., Hänninen, R., Kopu, J., Krusius, M., Tsubota, M., and Thuneberg, E. V. 2006. Twisted vortex state. Phys. Rev. Lett., 96, 215302.
Eltsov, V. B., Golov, A. I., de Graaf, R., Hänninen, R., Krusius, M., L'vov, V. S., and Solntsev, R. E. 2007. Quantum turbulence in a propagating superfluid vortex front. Phys. Rev. Lett., 99, 265301.
Eltsov, V. B., de Graaf, R., Hänninen, R., Krusius, M., Solntsev, R. E., L'vov, V. S., Golov, A. I., and Walmsley, P. M. 2009. Turbulent dynamics in rotating helium superfluids. Pages 45–146 of: Halperin, B., and Tsubota, M. (eds.), Progress in Low Temperature Physics: Quantum Turbulence. Progress in Low Temperature Physics, vol. 16. Elsevier.
Eltsov, V. B., de Graaf, R., Heikkinen, P. J., Hosio, J. J., Hänninen, R., Krusius, M., and L'vov, V. S. 2010. Stability and dissipation of laminar vortex flow in superfluid 3He-B. Phys. Rev. Lett., 105, 125301.
Eltsov, V., Hänninen, R., and Krusius, M. 2014. Quantum turbulence in superfluids with wall-clamped normal component. PNAS, 111(suppl. 1), 4711–4718.
Fetter, A. L. 1964. Scattering of sound by a classical vortex. Phys. Rev., 136, A1488– A1493.
Fetter, A. L. 1967. Quantum theory of superfluid vortices. I. Liquid helium II. Phys. Rev., 162, 143–153.
Fetter, A. L. 2009. Rotating trapped Bose–Einstein condensates. Rev. Mod. Phys., 81, 647–691.
Feynman, R. P. 1955. Application of quantum mechanics to liquid helium. Pages 17–53 of: Gorter, C. J. (ed.), Progress in Low Temperature Physics, vol. 1. North-Holland.
Finne, A. P., Araki, T., Blaauwgeers, R., Eltsov, V. B., Kopnin, N. B., Krusius, M., Skrbek, L., Tsubota, M., and Volovik, G. E. 2003. An intrinsic velocity-independent criterion for superfluid turbulence. Nature, 424, 1022–1025.
Fischer, U. R. 1998. Geometric laws of vortex quantum tunneling. Phys. Rev. B, 58, 105– 108. Erratum, 58, 105.
Fisher, M. P. A., Weichman, P. B., Grinstein, G., and Fisher, D. S. 1989. Boson localization and the superfluid-insulator transition. Phys. Rev. B, 40, 546–570.
Fisher, S. N., and Pickett, G. R. 2009. Quantum turbulence in superfluid 3He at very low temperatures. Pages 147–194 of: Halperin, B., and Tsubota, M. (eds.), Progress in Low Temperature Physics: Quantum Turbulence. Progress in Low Temperature Physics, vol. 16. Elsevier.
Fonda, E., Meichle, D. P., Ouellette, N. T., Hormoz, S., and Lathrop, D. P. 2014. Direct observation of Kelvin waves excited by quantized vortex reconnection. PNAS, 111(suppl.1), 4707–4710.
Frisch, U. 1995. Turbulence. Cambridge University Press.
Fukuda, M., Zalalutdinov, M. K., Kovacik, V., Igarashi, T., Obata, T., Ooyama, K., and Kubota, M. 1998. The superfluid transition and vortex dynamics in submonolayer superfluid 4He films in porous glass under rotation. J. Low Temp. Phys., 113, 417–422.
Fukuda, M., Zalalutdinov, M. K., Kovacik, V., Minoguchi, T., Obata, T., Kubota, M., and Sonin, E. B. 2005. Rotation-induced three-dimensional vorticity in 4He superfluid films adsorbed on a porous glass. Phys. Rev. B, 71, 212502.
Fultz, D. 1959. A note on overstability and elastoid-inertia oscillations of Kelvin, Solberg, and Bjerknes. J. Metereol., 16, 199–208.
Gallet, F., and Williams, G. A. 1989. Superfluid transition of 4He films adsorbed on multiply connected surfaces. Phys. Rev. B, 39, 4673–4676.
Gal'perin, Yu. M., and Sonin, E. B. 1976. Motion of vortices and electrical conductivity of pure type II supercomductors in weak magnetic fields. Fiz. Tverd. Tela (Leningrad), 18, 3034–3041 [Sov. Phys.–Solid State, 18, 1768–1772 (1976)].
Gamtsemlidze, G. A., Dzhaparidze, Sh. A., Salukvadze, Ts. M., and Turkadze, K. A. 1966. Determination of the slip coefficient of vortices in rotating helium II. Zh. Eksp. Teor. Fiz., 50, 323–326 [Sov. Phys.–JETP, 23, 214–216 (1966)].
Geller, M. R., Wexler, C., and Thouless, D. J. 1998. Transverse force on a quantized vortex in a superconductor. Phys. Rev. B, 57, R8119–R8122.
Gifford, S. A., and Baym, G. 2004. Vortex lattice stability and phase coherence in threedimensional rapidly rotating Bose–Einstein condensates. Phys. Rev. A, 70, 033602. Erratum, 78, 029904(E) (2008).
Gillis, K. A., Voltz, S., and Mochel, J. M. 1985. Superfluid flow dissipation in two dimensions. J. Low Temp. Phys., 61, 173–183.
Ginzburg, V. L., and Kirzhnitz, D. A. 1964. On the superfluidity of neutron stars. Zh. Eksp. Teor. Fiz., 47, 2006–2007 [Sov. Phys.–JETP, 20, 1346–1348 (1965)].
Ginzburg, V. L., and Landau, L. D. 1950. On the theory of superconductivity. Zh. Eksp. Teor. Fiz., 20, 1064.
Ginzburg, V. L., and Pitaevskii, L. P. 1958. On the theory of superfluidity. Zh. Eksp. Teor. Fiz., 34, 1240–1245 [Sov. Phys.–JETP, 7, 858–861 (1958)].
Ginzburg, V. L., and Sobyanin, A. A. 1976. Superfluidity of helium II near the λ point. Usp. Fiz. Nauk, 120, 153–216 [Sov. Phys.–Usp., 19, 773–812 (1976)].
Ginzburg, V. L., and Sobyanin, A. A. 1982. On the theory of superfluidity of helium II near the λ point. J. Low Temp. Phys., 49, 507–543.
Giorgini, S., and Bowley, R. M. 1996. Nonlinear AC response in superfluid films. J. Low Temp. Phys., 102, 171–191.
Glaberson, W. I. 1982. Vortex waves. Physica B+C, 109–110, 1567–1574.
Glaberson, W. I., Johnson, W. W., and Ostermeier, R. M. 1974. Instability of a vortex array in He II. Phys. Rev. Lett., 33, 1197.
Gordon, M. J. V., Williams, G. A., and Packard, R. E. 1978. Vortex photography: a progress report. J. Phys. (Paris), 39, C6, 172–173.
Gor'kov, L. P., and Kopnin, N. B. 1975. Vortex motion and resistivity of type-II superconductors in a magnetic field. Usp. Fiz. Nauk, 116, 413–448 [Sov. Phys.–Usp., 18, 496–513 (1975)].
Gradstein, I. S., and Ryzhik, I. M. 1965. Table of Integrals, Series, and Products. Academic Press.
Greenspan, H. P. 1968. The Theory of Rotating Fluids. Cambridge University Press.
Gross, E. P. 1961. Structure of a quantized vortex in boson systems. Nuovo Cimento, 20, 454.
Guo, W., Cahn, S. B., Nikkel, J. A., Vinen, W. F., and McKinsey, D. N. 2010. Visualization study of counterflow in superfluid 4He using metastable helium molecules. Phys. Rev. Lett., 105, 045301.
Hakonen, P. J., Ikkala, O. T., Islander, S. T., Lounasmaa, O. V., Markkula, T. K., Roubeau, P., Saloheimo, K. M., Volovik, G. E., Andronikashvili, E. L., Garibashvili, D. I., and Tsakadze, J. S. 1982. NMR experiments on rotating superfluid 3He-A: evidence for vorticity. Phys. Rev. Lett., 48, 1838–1841.
Hall, H. E. 1958. An experimental and theoretical study of torsional oscillations in uniformly rotating liquid helium II. Proc. R. Soc. London Ser. A, 245, 546–561.
Hall, H. E. 1960. The rotation of liquid helium II. Adv. Phys., 9, 89–146.
Hall, H. E. 1985. Evidence for intrinsic angular momentum in superfluid 3He-A. Phys. Rev. Lett., 54, 205–208.
Hall, H. E., and Hook, J. R. 1986. The hydrodynamics of superfluid 3He. Pages 143–264 of: Brewer, D. F. (ed.), Progress in Low Temperatyre Physics, vol. 9. North-Holland.
Hall, H. E., and Hook, J. R. 1998. Comment on “Magnus and Iordanskii forces in superfluids”. Phys. Rev. Lett., 80, 4356–4356.
Hall, H. E., and Vinen, W. F. 1956a. The rotation of liquid helium II. I. Experiments on the propagation of second sound in uniformly rotating helium II. Proc. R. Soc. London Ser. A, 238, 204–214.
Hall, H. E., and Vinen, W. F. 1956b. The rotation of liquid helium II. II. The theory of mutual friction in uniformly rotating helium II. Proc. R. Soc. London Ser. A, 238, 215–234.
Halley, J. W., and Cheung, A. 1968. Theory of vortex resonance in liquid helium. Phys. Rev., 168, 209–221.
Halley, J. W., and Ostermeier, R. M. 1977. A new calculation of the ion velocity shift in a vortex resonance experiment in He II. J. Low Temp. Phys., 26, 877–898.
Hänninen, R., and Baggaley, A. W. 2014. Vortex filament method as a tool for computational visualization of quantum turbulence. PNAS, 111(suppl.1), 4667–4674.
Hänninen, R., and Hietala, N. 2013. Identification of Kelvin waves: numerical challenges. J. Low Temp. Phys., 171, 485–496.
Hasimoto, H. 1972. A solution on a vortex filament. J. Fluid Mech., 51, 477–485.
Haskell, B. 2011. Tkachenko modes in rotating neutron stars: the effect of compressibility and implications for pulsar timing noise. Phys. Rev. D, 83, 043006.
Hegde, S. G., and Glaberson, W. I. 1980. Pinning of superfluid vortices to surfaces. Phys. Rev. Lett., 45, 190–193.
Helm, J. L., Barenghi, C. F., and Youd, A. J. 2011. Slowing down of vortex rings in Bose– Einsten condensates. Phys. Rev. A, 045601.
Hendry, P. C., Lawson, N. S., McClintock, P. V. E., Williams, C. D. H., and Bowley, R. M. 1988. Macroscopic quantum tunneling of vortices in He II. Phys. Rev. Lett., 60, 604–607.
Hillel, A. J., and Vinen, W. F. 1983. The mutual friction parameters in liquid helium II: a revised calculation. J. Phys. C, 16, 3267–3272.
Hills, N., and Roberts, R. P. H. 1978. Healing and relaxation in flows of helium II. Part II. First, second, and fourth sound. J. Low Temp. Phys., 30, 709–727.
Ho, T.-L. 1978. Coreless vortices in superfluid 3He-A: topological structure, nucleation, and the screening effect. Phys. Rev. B, 18, 1144–1153.
Ho, T.-L. 2001. Bose–Einstein condensates with large number of vortices. Phys. Rev. Lett., 87, 060403.
Ho, T.-L., and Mermin, N. D. 1980. Equilibrium order parameters and chemical potentials in rotating superfluids. Phys. Rev. B, 21, 5190–5197.
Hohenberg, P. C., and Halperin, B. I. 1977. Theory of dynamic critical phenomena. Rev. Mod. Phys., 49, 435–479.
Hosio, J. J., Eltsov, V. B., de Graaf, R., Heikkinen, P. J., Hänninen, R., Krusius, M., L'vov, V. S., and Volovik, G. E. 2011. Superfluid vortex front at T → 0: decoupling from the reference frame. Phys. Rev. Lett., 107, 135302.
Hosio, J. J., Eltsov, V. B., Heikkinen, P. J., Hänninen, R., Krusius, M., and L'vov, V. S. 2013. Energy and angular momentum balance in wall-bounded quantum turbulence at very low temperatures. Nature Commun., 4, 1614.
Hu, C. R., and Saslov, W. M. 1977. Hydrodynamics of 3He-A with arbitrary textures. Phys. Rev. Lett., 38, 605–609.
Huang, W., Taylor, E., and Kallin, C. 2014. Vanishing edge currents in non-p-wave topological chiral superconductors. Phys. Rev. B, 90, 224519.
Huang, W., Lederer, S., Taylor, E., and Kallin, C. 2015. Nontopological nature of the edge current in a chiral p-wave superconductor. Phys. Rev. B, 91, 094507.
Huber, S. D., and Lindner, N. H. 2011. Topological transitions for lattice bosons in a magnetic field. PNAS, 108, 19925–19930.
Ignatiev, R. N., and Sonin, E. B. 1981. Finite-size vortex lattice in a rotating superfluid liquid. Zh. Eksp. Teor. Fiz., 81, 2059–2062 [Sov. Phys.–JETP, 54, 1087–1088 (1981)].
Ihas, G. G., Avenel, O., Aarts, R., Salmelin, R., and Varoquaux, E. 1992. Quantum nucleation of vortices in the flow of superfluid 4He through an orifice. Phys. Rev. Lett., 69, 327–330.
Ilisavskii, Y., Goltsev, A., Dyakonov, K., Popov, V., Yakhkind, E., Dyakonov, V. P., Gierlowski, P., Klimov, A., Lewandowski, S. J., and Szymczak, H. 2001. Anomalous acoustoelectric effect in La0.67Ca0.33MnO3 films. Phys. Rev. Lett., 87, 146602.
Iordanskii, S. V. 1964. On the mutual friction between the normal and superfluid components in a rotating Bose gas. Ann. Phys. (N.Y.), 29, 335–349.
Iordanskii, S. V. 1965a. Mutual friction force in a rotating Bose gas. Zh. Eksp. Teor. Fiz., 49, 225–236 [Sov.Phys.–JETP, 22, 160–167 (1966)].
Iordanskii, S. V. 1965b. Vortex ring formation in a superfluid. Zh. Eksp. Teor. Fiz., 48, 708–714 [Sov.Phys.–JETP, 21, 467–471 (1965)].
Ishii, C. 1970. Josephson currents through junctions with normal metal barriers. Prog. Theor. Phys., 44, 1525–1547.
Jackson, B., McCann, J., and Adams, C. 1999. Vortex line and ring dynamics in trapped Bose–Einstein condensates. Phys. Rev. A, 61, 013604.
Kagan, M. Yu. 2013. Modern Trends in Superconductivity and Superfluidity. Springer.
Kambe, T. 1986. Acoustic emissions by vortex motions. J. Fluid Mech., 173, 643–666.
Karimäki, J. M., Hänninen, R., and Thuneberg, E. V. 2012. Asymptotic motion of a single vortex in a rotating cylinder. Phys. Rev. B, 85, 224519.
Karn, P. W., Starks, D. R., and Zimmermann, W. 1980. Observation of quantization of circulation in rotating superfluid 4He. Phys. Rev. B, 21, 1797–1805.
Kemoklidze, M. P., and Khalatnikov, I. M. 1964. On the irrotational region in rotating He II. Zh. Eksp. Teor. Fiz., 46, 165–166 [Sov. Phys.–JETP, 19, 118–119 (1964).
Khalatnikov, I. M. 2000. An Introduction to the Theory of Superfluidity. Perseus Publishing, Cambridge.
Khalatnikov, I. M., and Lebedev, V. V. 1977. Lagrange equations of the hydrodynamics of the anisotropic superfluid liquid 3He-A. Pis'ma Zh. Eksp. Teor. Fiz., 25, 377–381 [JETP Lett., 25, 351–354 (1977)].
Khomenko, D., Kondaurova, L., L'vov, V. S., Mishra, P., Pomyalov, A., and Procaccia, I. 2015. Dynamics of the density of quantized vortex lines in superfluid turbulence. Phys. Rev. B, 91, 180504(R).
Kiknadze, L., and Mamaladze, Yu. 2002. The waves on the vortex ring in He II. J. Low Temp. Phys., 126, 321–326.
Kirtley, J. R., Kallin, C., Hicks, C. W., Kim, E.-A., Liu, Y., Moler, K. A., Maeno, Y., and Nelson, K. D. 2007. Upper limit on spontaneous supercurrents in Sr2RuO4. Phys. Rev. B, 76, 014526.
Kivotides, D., Vassilicos, J. C., Samuels, D. C., and Barenghi, C. F. 2001. Kelvin waves cascade in superfluid turbulence. Phys. Rev. Lett., 86, 3080–3083.
Kondaurova, L., L'vov, V., Pomyalov, A., and Procaccia, I. 2014. Structure of a quantum vortex tangle in 4He counterflow turbulence. Phys. Rev. B, 89, 014502.
Koplik, J., and Levine, H. 1993. Vortex reconnection in superfluid helium. Phys. Rev. Lett., 71, 1375–1378.
Kopnin, N. B. 1978a. Dissipative motion of superfluid 3He in the A phase. Zh. Eksp. Teor. Fiz., 74, 1538–1553 [Sov. Phys.–JETP, 47, 804–811 (1978)].
Kopnin, N. B. 1978b. Frequency singularities of the dissipation in the mixed state of pure type-II superconductors at low temperatures. Pis'ma Zh. Eksp. Teor. Fiz., 27, 417–420 [JETP Lett., 27, 390–393 (1978)].
Kopnin, N. B. 2001. Theory of Nonequilibrium Superconductivity. Oxford University Press.
Kopnin, N. B. 2002. Vortex dynamics and mutual friction in superconductors and Fermi superfluids. Rep. Prog. Phys., 65, 1633–1678.
Kopnin, N. B., and Kravtsov, V. E. 1976a. Conductivity and Hall effect of pure type-II superconductors at low temperatures. Pis'ma Zh. Eksp. Teor. Fiz., 23, 631–634 [JETP Lett., 23, 578–581 (1976)].
Kopnin, N. B., and Kravtsov, V. E. 1976b. Forces acting on vortices moving in a pure type II superconductor. Zh. Eksp. Teor. Fiz., 71, 1644–1656 [Sov. Phys.–JETP, 44, 861–867 (1976)].
Kopnin, N. B., and Vinokur, V. M. 1998. Dynamic vortex mass in clean Fermi superfluids and superconductors. Phys. Rev. Lett., 81, 3952–3955.
Kosterlitz, J. M. 1974. The critical prperties of the two-dimensional xy model. J. Phys. C, 7, 1046–1060.
Kosterlitz, J. M., and Thouless, D. J. 1973. Ordering, metastability and phase transitions in two-dimensional systems. J. Phys. C, 6, 1181–1203.
Kozik, E., and Svistunov, B. 2004. Kelvin-wave cascade and decay of superfluid turbulence. Phys. Rev. Lett., 92, 035301.
Kozik, E., and Svistunov, B. 2005. Vortex-phonon interaction. Phys. Rev. B, 72, 172505.
Kozik, E., and Svistunov, B. 2008. Kolmogorov and Kelvin-wave cascades of superfluid turbulence at T = 0: what lies between. Phys. Rev. B, 77, 060502(R).
Kozik, E. V., and Svistunov, B. V. 2009. Theory of decay of superfluid turbulence in the low-temperature limit. J. Low Temp. Phys., 156, 215–267.
Kozik, E., and Svistunov, B. 2010a. Geometric symmetries in superfluid vortex dynamics. Phys. Rev. B, 82, 140510(R).
Kozik, E. V., and Svistunov, B. V. 2010b. Comment on ‘Symmetries and interaction coefficients of Kelvin waves’ by Lebedev and L'vov. J. Low Temp. Phys., 161, 603–605.
Krstulovic, G. 2012. Kelvin-wave cascade and dissipation in low-temperature superfluid vortices. Phys. Rev. E, 86, 055301.
Krstulovic, G., and Brachet, M. 2011. Anomalous vortex-ring velocities induced by thermally excited Kelvin waves and counterflow effects in superfluids. Phys. Rev. B, 83, 132506.
Krusius, M., Korhonen, J. S., Kondo, Y., and Sonin, E. B. 1993. Collective motion of quantized vortex lines in rotating superfluid 3He-B. Phys. Rev. B, 47, 15113–15144.
Kulik, I. O. 1969. Macroscopic quantization and the proximity effect in SNS junctions. Zh. Eksp. Teor. Fiz., 57, 1745–1759 [Sov. Phys.–JETP, 30, 944 (1970)].
Labusch, R. 1969. Elastic constants of the fluxoid lattice near the upper critical field. Phys. Status Solidi, 32, 439–442.
Lamb, H. 1997. Hydrodynamics. Cambridge University Press.
Landau, L. D. 1941. Theory of superfluidity of helium II. J. Phys. (USSR), 5, 71.
Landau, L. D., and Lifshitz, E. M. 1982a. Quantum Mechanics. Pergamon Press.
Landau, L. D., and Lifshitz, E. M. 1982b. Statistical Physics. Part I. Pergamon Press.
Landau, L. D., and Lifshitz, E. M. 1984. Electrodynamics of continuous media. Pergamon Press.
Landau, L. D., and Lifshitz, E. M. 1986. Theory of Elasticity. Pergamon Press.
Landau, L. D., and Lifshitz, E. M. 1987. Fluid Mechanics. Pergamon Press.
Langer, J. S., and Fisher, M. E. 1967. Intrinsic critical velocity of a superfluid. Phys. Rev. Lett., 19, 560–563.
Larkin, A. I., and Ovchinnikov, Yu. N. 1979. Pinning in type II superconductors. J. Low Temp. Phys., 34, 409–428.
Laurie, J., L'vov, V. S., Nazarenko, S., and Rudenko, O. 2010. Interaction of Kelvin waves and nonlocality of energy transfer in superfluids. Phys. Rev B, 81, 104526.
Lebedev, V. V., and L'vov, V. S. 2010. Symmetries and interaction coefficients of Kelvin waves. J. Low Temp. Phys., 161, 548–554.
Lebedev, V. V., L'vov, V. S., and Nazarenko, S. V. 2010. Reply: on role of symmetries in Kelvin wave turbulence. J. Low Temp. Phys., 161, 606–610.
Lederer, S., Huang, W., Taylor, E., Raghu, S., and Kallin, C. 2014. Suppression of spontaneous currents in Sr2RuO4 by surface disorder. Phys. Rev. B, 90, 134521.
Leggett, A. J. 2006. Quantum Liquids. Bose Condensation and Cooper Pairing in Condensed-Matter Systems, Appendix 6A. Oxford University Press.
Lifshitz, E. M., and Pitaevskii, L. P. 1957. Absorption of second sound in rotating helium II. Zh. Eksp. Teor. Fiz., 33, 535–537 [Sov. Phys.–JETP, 6, 418–419 (1958)].
Lindner, N., Auerbach, A., and Arovas, D. P. 2010. Vortex dynamics and Hall conductivity of hard-core bosons. Phys. Rev. B, 82, 134510.
Liu, M., and Cross, M. C. 1979. Gauge wheel of superfluid 3He. Phys. Rev. Lett., 43, 296–299.
Love, A. E. H. 1944. A Treatise of the Mathematical Theory of Elasticity. Dover.
L'vov, V. S., and Nazarenko, S. 2010. Spectrum of Kelvin-wave turbulence in superfluids. Pis'ma Zh. Eksp. Teor. Fiz., 91, 464–470 [JETP Lett., 91, 428–434 (2010)].
L'vov, V. S., and Nazarenko, S. V. 2012. Comment on ‘Symmetry of Kelvin-wave dynamics and the Kelvin-wave cascade in the T = 0 superfluid turbulence’. Phys. Rev. B, 86, 226501.
L'vov, V. S., Nazarenko, S. V., and Volovik, G. E. 2004. Energy spectra of developed superfluid turbulence. Pis'ma Zh. Eksp. Teor. Fiz., 80, 546–550 [JETP Lett., 80, 479–483 (2004)].
L'vov, V. S., Nazarenko, S. V., and Rudenko, O. 2007. Bottleneck crossover between classical and quantum superfluid turbulence. Phys. Rev. B, 76, 024520.
L'vov, V. S., Nazarenko, S. V., and Rudenko, O. 2008. Gradual eddy-wave crossover in superfluid turbulence. J. Low Temp. Phys., 153, 140.
Machta, J., and Guyer, R. A. 1988. Superfluid films in porous media. Phys. Rev. Lett., 60, 2054–2057.
Machta, J., and Guyer, R. A. 1989. Superfluid films on a cylindrical surface. J. Low Temp. Phys., 74, 231–261.
Mackenzie, A. P., and Maeno, Y. 2003. The superconductivity of Sr2RuO4 and the physics of spin-triplet pairing. Rev. Mod. Phys., 75, 657–712.
Madelung, E. 1927. Quantentheorie in hydrodynamischer Form. Z. Phys., 40, 322–326.
Madison, K. W., Chevy, F., Wohlleben, W., and Dalibard, J. 2000. Vortex formation in a stirred Bose–Einstein condensate. Phys. Rev. Lett., 84, 806–809.
Maki, K., and Zotos, X. 1985. Vortex-pair state in rotating superfluid 3He-A at low temperatures. Phys. Rev. B, 31, 177–182.
Mamaladze, Yu. G. 1967. Parmeters of phenomenological superfluidity theory and the λ-point shift. Zh. Eksp. Teor. Fiz., 52, 729–731 [Sov. Phys.–JETP, 25, 479–480 (1967)].
Mamaladze, Yu. G., and Matinyan, S. G. 1960. Damping of oscillations of a disk in rotating helium II. Zh. Eksp. Teor. Fiz., 38, 184–187 [Sov. Phys.–JETP, 11, 134–136 (1960)].
Marakov, A., Gao, J., Guo, W., Van Sciver, S.W., Ihas, G. G., McKinsey, D. N., and Vinen, W. F. 2015. Visualization of the normal-fluid turbulence in counterflowing superfluid 4He. Phys. Rev. B, 91, 094503.
Martin, P. C., Parodi, O., and Pershan, P. S. 1972. Unified hydrodynamic theory for crystals, liquid crystals, and normal fluids. Phys. Rev. A, 6, 2401–2420.
Matheiu, P., and Simon, Y. 1980. Hydrodynamic theory of mutual friction in He II. Phys. Rev. Lett., 45, 1428–1431.
Matheiu, P., Serra, A., and Simon, Y. 1976. Critical-region measurements of the mutualfriction parameters in rotating He II. Phys. Rev. B, 14, 3753–3761.
Matthews, M. R., Anderson, B. P., Haljan, P. C., Hall, D. S., Wieman, C. E., and Cornell, E. A. 1999. Vortices in a Bose–Einstein condensate. Phys. Rev. Lett., 83, 2498–2501.
Maurer, J., and Tabeling, P. 1998. Local investigation of superfluid turbulence. Europhys. Lett., 43, 29.
Mermin, N. D., and Ho, T. L. 1976. Circulation and angular momentum in the A phase of superfluid helium-3. Phys. Rev. Lett., 36, 594–597.
Mermin, N. D., and Muzikar, P. 1980. Cooper pairs versus Bose condensed molecules: the ground-state current in superfluid 3He-A. Phys. Rev. B, 21, 980–989.
Milne-Thompson, L. M. 1968. Theoretical Hydrodynamics. Macmillan.
Minoguchi, T., and Nagaoka, Y. 1988. Vortices, superfluidity, and phase transition in 4He film adsorbed on porous materials. Prog. Theor. Phys., 80, 397–416.
Misirpashaev, T. Sh., and Volovik, G. E. 1992. Macroscopic Josephson effect in superfluid 3He-B. Pis'ma Zh. Eksp. Teor. Fiz., 56, 40–43 [JETP Lett., 56, 41–44 (1992)].
Mizushima, T., Kawaguchi, Y., Machida, K., Ohmi, T., Isoshima, T., and Salomaa, M. M. 2004. Collective oscillations of vortex lattices in rotating Bose–Einstein condensates. Phys. Rev. Lett., 92, 060407.
Morse, P. M., and Feshbach, H. 1953. Methods of Theoretical Physics, vol. II. McGraw-Hill.
Muirihead, C., Vinen, W. F., and Donnelly, R. J. 1984. The nucleation of vorticity by ions in superfluid 4He. I. Basic theory. Philos Trans. R. Soc. London Ser. A, 311, 433.
Murphy, S. Q., and Reppy, J. D. 1990. Simultaneous measurement of the heat capacity and superfluid density of 4He films in vycor glass. Physica B, 165, 547–548.
Nazarenko, S. 2011. Wave Turbulence. Springer.
Nazarenko, S., and West, R. 2003. Analytical solution for nonlinear Schrödinger vortex reconnection. J. Low Temp. Phys., 132, 1–10.
Nelson, D. R., and Kosterlitz, J. M. 1977. Universal jump in the superfluid density of twodimensional superfluids. Phys. Rev. Lett., 39, 1201–1205.
Nemirovskii, S. K. 2006. Evolution of a network of vortex loops in He-II: exact solution of the rate equation. Phys. Rev. Lett., 96, 015301.
Nemirovskii, S. K. 2008. Kinetics of a network of vortex loops in He II and a theory of superfluid turbulence. Phys. Rev. B, 77, 214509.
Nemirovskii, S. K. 2010. Diffusion of inhomogeneous vortex tangle and decay of superfluid turbulence. Phys. Rev B, 81, 064512.
Nemirovskii, S. K. 2013. Quantum turbulence: theoretical and numerical problems. Phys. Rep., 524, 85–202.
Nemirovskii, S. K., and Fiszdon, W. 1995. Chaotic quantized vortices and hydrodynamic processes in superfluid helium. Rev. Mod. Phys., 67, 37–84.
Nemirovskii, S. K., and Sonin, E. B. 2007. Dynamics of coreless vortices and rotationinduced dissipation peak in superfluid films on rotating porous substrates. Phys. Rev. B, 76, 224507.
Nemirovskii, S. K., Tsubota, M., and Araki, T. 2002. Energy spectrum of the random velocity field induced by a Gaussian vortex tangle in He II. J. Low Temp. Phys., 126, 1535–1540.
Neshev, D., Nepomnyashchy, A., and Kivshar, Yu. 2001. Nonlinear Aharonov-Bohm scattering by optical vortices. Phys. Rev. Lett., 87, 043901.
Nore, C., Abid, M., and Brachet, M. E. 1997. Kolmogorov turbulence in low-temperature superflows. Phys. Rev. Lett., 78, 3896.
Noronha, J., and Sedarkian, A. 2008. Tkachenko modes as sources of quasiperiodic pulsar spin variations. Phys. Rev. D, 77, 023008.
Obata, T., and Kubota, M. 2002. Calculation of the phase field of a vortex pair on the surface of a multiply connected substrate. Phys. Rev. B, 66, 140506.
Ohmi, T. 1984. Vortex lattice structure of superfluid 3He-A in a magnetic field. J. Low Temp. Phys., 56, 183–194.
Olariu, S., and Popescu, I. I. 1985. The quantum effects of electromagnetic fluxes. Rev. Mod. Phys., 57, 339–436.
Onsager, L. 1949. In discussion on paper by C. J. Gorter. Nuovo Cimento Suppl., 6, 249–250. Reprinted in the book by Thouless (1998), pp. 177–178.
Onuki, A. 1983. Mutual friction and vortex motion near the superfluid transition. J. Low Temp. Phys., 51, 601–632.
Ostermeier, R. M., and Glaberson, W. I. 1975. Instability of vortex lines in the presence of axial normal fluid flow. J. Low Temp. Phys., 21, 191–196.
Paoletti, M. S., Fisher, M. E., and Lathrop, D. P. 2010. Reconnection dynamics for quantized vortices. Physica D, 239, 1367–1377.
Paulson, D. N., Krusius, M., and Wheatley, J. 1976. Experiments on orbital dynamics in superfluid 3He-A. Phys. Rev. Lett., 36, 1322–1325.
Peierls, R. 1979. Surprises in Theoretical Physics. Princeton University Press.
Pismen, L. M. 1999. Vortices in Nonlinear Fields. From Liquid Crystals to Superfluids. From Non-Equilibrium Patterns to Cosmic Strings. Oxford University Press.
Pitaevskii, L. P. 1958a. Calculation of the phonon part of the mutual friction force in superfluid helium. Zh. Eksp. Teor. Fiz., 35, 1271–1275 [Sov. Phys.–JETP, 8, 888–890 (1959)].
Pitaevskii, L. P. 1958b. Phenomenological theory of superfluidity near the λ point. Zh. Eksp. Teor. Fiz., 35, 408–415 [Sov. Phys.–JETP, 35, 282–287 (1959)].
Pitaevskii, L. P. 1961. Vortex lines in an imperfect Bose gas. Zh. Eksp. Teor. Fiz., 40, 646 [Sov. Phys.–JETP, 13, 451–454 (1961)].
Pitaevskii, L. P. 1977. Temperature dependence of the mutual friction force in helium near the λ point. Pis'ma Zh. Eksp. Teor. Fiz., 25, 168–171 [JETP Lett., 25, 154–156 (1977)].
Pitaevskii, L. P. 2006. Bose–Einstein condensates in a laser radiation field. Usp. Fiz. Nauk, 176, 345–364 [Sov. Phys.–Usp., 49, 333–351 (2006)].
Pitaevskii, L., and Stringari, S. 2003. Bose–Einstein condensation. Oxford University Press.
Plaçais, B., Lütke-Entrup, N., Bellessa, J., Mathieu, P., Simon, Y., and Sonin, E. B. 2004. Peak effect and surface crystal-glass transition for surface-pinned vortex array. Europhys. Lett., 67, 655–661.
Popov, S. B. 2008. Tkachenko waves, glitches and precession in neutron stars. Astrophys. Space Sci., 317, 175–179.
Putterman, S. J. 1974. Superfluid Hydrodynamics. North-Holand.
Raja Gopal, E. S. 1964. Oscillations of quantized vortices in rotating liquid helium II. Ann. Phys. (N.Y.), 29, 350–365.
Rayfield, G.W., and Reif, F. 1964. Quantized vortex rings in superfluid helium. Phys. Rev., 136, A1194–A1208.
Reppy, J. D. 1992. Superfluid helium in porous media. J. Low Temp. Phys., 87, 205–245.
Ricca, R. L. 1994. The effect of torsion on the motion of a helical vortex filament. J. Fluid Mech., 273, 241–259.
Richardson, L. F. 1922. Weather Prediction by Numerical Processes. Cambridge University Press.
Roux, P., de Rosny, J., Tanter, M., and Fink, M. 1997. The Aharonov-Bohm effect revisited by an acoustic time-reversal mirror. Phys. Rev. Lett., 79, 3170–3173.
Ruderman, M. 1970. Long period oscillations in rotating neutron stars. Nature (London), 225, 619–620.
Ruutu, V. M., Ruohio, J. J., Krusius, M., Plaçais, B., Sonin, E. B., and Xu, W. 1997. Annihilation of vortex lines in rotating superfluid 3He. Phys. Rev. B, 56, 14089–14092.
Saffman, P. G. 1995. Vortex Dynamics. Cambridge University Press.
Saint-James, D., Sarma, G., and Thomas, E. J. 1969. Type II Superconductivity. Pergamon Press.
Salman, H. 2013. Breathers on quantized superfluid vortices. Phys. Rev. Lett., 111, 165301.
Salomaa, M. M., and Volovik, G. E. 1985. Quantized vortices in superfluid 3He. Rev. Mod. Phys., 59, 533–613. Erratum, 60, 573 (1988).
Salort, J., Chabaud, B., Lévêque, E., and Roche, P.-E. 2012. Energy cascade and the fourfifths law in superfluid turbulence. Europhys. Lett., 97, 34006.
Sauls, J. A. 2011. Surface states, edge currents, and the angular momentum of chiral p-wave superfluids. Phys. Rev. B, 84, 214509.
Schwarz, K. W. 1977. Theory of turbulence in superfluid 4He. Phys. Rev. Lett., 38, 551–554.
Schwarz, K. W. 1978. Turbulence in superfluid helium: steady homogeneous counterflow. Phys. Rev. B, 18, 245–262.
Schwarz, K. W. 1985. Three-dimensional vortex dynamics in superfluid 4He: line-line and line-boundary interactions. Phys. Rev. B, 31, 5782–5804.
Schwarz, K.W. 1988. Three-dimensional vortex dynamics in superfluid 4He: homogeneous superfluid turbulence. Phys. Rev. B, 38, 2398–2417.
Schwarz, K. W. 1993. Unwinding of a single quantized vortex from a wire. Phys. Rev. B, 47, 12030–12039.
Schwarz, K. W., and Rozen, J. R. 1991. Transient behavior of superfluid turbulence in a large channel. Phys. Rev B, 44, 7563–7577.
Schweikhard, V., Coddington, I., Engels, P., Mogendorff, V. P., and Cornell, E. A. 2004. Rapidly rotating Bose–Einstein condensates in and near the lowest Landau level. Phys. Rev. Lett., 92, 040404.
Seppälä, H. K., and Volovik, G. E. 1983. Evidence for nonsingular vorticity in the Helsinki experiments on rotating 3He-A. J. Low Temp. Phys., 51, 279–290.
Shahabasyan, M. K. 2009. Vortex lattice oscillations in rotating neutron stars with quark ‘CFL’ cores. Astrophysics, 52, 151–155.
Shapiro, K. A., and Rudnick, I. 1965. Experimental determination of the fourth sound velocity in helium II. Phys. Rev., 137, A1383–A1391.
Sheehy, D. E., and Radzihovsky, L. 2004. Vortex lattice inhomogeneity in spatially inhomogeneous superfluids. Phys. Rev. A, 70, 051602(R).
Shelankov, A. L. 1998. Magnetic force exerted by the Aharonov–Bohm line. Europhys. Lett., 43, 623–628.
Shelankov, A. L. 2002. Lorentz force exerted by the Aharonov–Bohm flux line. Pages 147—166 of: Huebener, R. P., Schopohl, N., and Volovik, G. E. (eds.), Vortices in Unconventional Superconductors and Superfluids. Springer-Verlag.
Simanek, E. 1983. Dynamics of quantum vortices in two-dimensional superconductors. Solid State Commun., 48, 1023–1025.
Sinova, J., Hanna, C. B., and MacDonald, A. H. 2002. Quantum melting and absence of Bose–Einstein condensation in two-dimensional vortex matter. Phys. Rev. Lett., 89, 030403.
Skrbek, L., and Vinen, W. F. 2009. The use of vibrating structures in the study of quantum turbulence. Pages 195–246 of: Halperin, B., and Tsubota, M. (eds.), Progress in Low Temperature Physics: Quantum Turbulence. Progress in Low Temperature Physics, vol. 16. Elsevier.
Smith, M. R., Donnely, R. J., Goldenfeld, N., and Vinen, W. F. 1993. Decay of vorticity in homogeneous turbulence. Phys. Rev. Lett., 71, 2583–2586.
Soininen, P., and Kopnin, N. B. 1994. Stability of superflow. Phys. Rev. B, 49, 12087– 12094.
Sonin, E. B. 1973. Critical velocities at very low temperatures and the vortices in a quantum Bose fluid. Zh. Eksp. Teor. Fiz., 64, 970–983 [Sov. Phys.–JETP, 37, 494–500 (1973)].
Sonin, E. B. 1975. Friction between the normal component and vortices in rotating superfluid helium. Zh. Eksp. Teor. Fiz., 69, 921–935 [Sov. Phys.–JETP, 42, 469–475 (1976)].
Sonin, E. B. 1976. Vortex-lattice vibrations in a rotating helium II. Zh. Eksp. Teor. Fiz., 70, 1970 [Sov. Phys.–JETP, 43, 1027 (1976)].
Sonin, E. B. 1981. Mutual friction force in rotating He II at low temperatures and near the λ-point. J. Low Temp. Phys., 42, 417–432.
Sonin, E. B. 1983. On low-frequency oscillations of vortices in rotating He II.Pis'ma Zh. Eksp. Teor. Fiz., 37, 82–84 [JETP Lett., 37, 100–103 (1983)].
Sonin, E. B. 1984. On hydrodynamics of an anisotropic superfluid. Zh. Eksp. Teor. Fiz., 87, 1670–1685 [Sov. Phys.–JETP, 60, 959–967 (1984)].
Sonin, E. B. 1986. Orbital angular momentum and friction force between vortices and the normal component in 3He-A. Pis'ma Zh. Eksp. Teor. Fiz., 43, 601–604 [JETP Lett., 43, 779–782 (1986)].
Sonin, E. B. 1987. Vortex oscillations and hydrodynamics of rotating superfluids. Rev. Mod. Phys., 59, 87–155.
Sonin, E. B. 1992. What can we learn of vortex dynamics from 3He investigations. Physica B, 178, 106–120.
Sonin, E. B. 1994. Dynamics of curved vortex lines in superfluids: precession of a partially trapped line. J. Low Temp. Phys., 97, 145–156.
Sonin, E. B. 1995. Nucleation and creep of vortices in superfluids and clean superconductors. Physica B, 210, 234–250.
Sonin, E. B. 1997. Magnus force in superfluids and superconductors. Phys. Rev. B, 55, 485.
Sonin, E. B. 1998. Comment on ‘Berry's phase and the Magnus force for a vortex line in a superconductor,’ ‘Transverse force on a quantized vortex in a superfluid,’ and ‘Magnus and Iordanskii forces in superfluids’. Phys. Rev. Lett., 81, 4276–4276.
Sonin, E. B. 2002. Magnus force and Aharonov–Bohm effect in superfluids. Pages 119–145 of: Huebener, R. P., Schopohl, N., and Volovik, G. E. (eds.), Vortices in Unconventional Superconductors and Superfluids. Springer-Verlag.
Sonin, E. B. 2005a. Continuum theory of Tkachenko modes in rotating Bose–Einstein condensate. Phys. Rev. A, 71, 011603(R).
Sonin, E. B. 2005b. Ground state and Tkachenko modes of a rapidly rotating Bose–Einstein condensate in the lowest Landau level state. Phys. Rev. A, 72, 021606(R).
Sonin, E. B. 2010. The Aharonov–Bohm effect in neutral liquids. J. Phys. A, 43, 354003.
Sonin, E. B. 2012a. Dynamics of helical vortices and helical-vortex rings. Europhys. Lett., 97, 46002.
Sonin, E. B. 2012b. Dynamics of twisted vortex bundles and laminar propagation of the vortex front. Phys. Rev. B, 85, 024515.
Sonin, E. B. 2012c. Reply to Comment on ‘Symmetry of Kelvin-wave dynamics and the Kelvin-wave cascade in the T = 0 superfluid turbulence’. Phys. Rev. B, 86, 226502.
Sonin, E. B. 2012d. Symmetry of Kelvin-wave dynamics and the Kelvin-wave cascade in the T = 0 superfluid turbulence. Phys. Rev. B, 85, 104516.
Sonin, E. B. 2013a. Tkachenko waves. Pis'ma Zh. Eksp. Teor. Fiz., 98, 853–863 [JETP Lett., 98, 758–768 (2014)].
Sonin, E. B. 2013b. Transverse force on a vortex and vortex mass: effects of free bulk and vortex-core bound quasiparticles. Phys. Rev. B, 87, 134515.
Sonin, E. B. 2013c. Transverse forces on a vortex in lattice models of superfluids. Phys. Rev. B, 88, 214513.
Sonin, E. B., and Fomin, N. V. 1985. Symmetry of vortex structures, axial currents, and Kelvin waves in superfluid 3He. Pis'ma Zh. Eksp. Teor. Fiz., 42, 185–187 [JETP Lett., 42, 229–232 (1985)].
Sonin, E. B., and Horovitz, B. 1995. Thermal and quantum creep of vortices trapped by twin boundaries and columnar defects. Phys. Rev. B, 51, 6526–6530.
Sonin, E. B., and Krusius, M. 1994. Vortex dynamics in superfluids and superconductors. Pages 193–230 of: Bontempts, N., Bruynseraede, Y., Deutscher, G., and Kapitulnik, A. (eds.), The Vortex State. Proceedings of the NATO Advanced Study Institute on Vortices in Superfluids (Cargese, Corsica, 1993). Kluwer Academic Press.
Sonin, E. B., and Nemirovskii, S. K. 2011. Equilibrium rotation of a vortex bundle terminating on a lateral wall. Phys. Rev. B, 84, 054506.
Sonin, E. B., Kondo, Y., Krusius, M., and Korhonen, J. S. 1993. Slow mode and pinning in a vortex array of rotating 3He-B. Europhys. Lett., 22, 125–131.
Sonin, E. B., Geshkenbein, V. B., van Otterlo, A., and Blatter, G. 1998. Vortex motion in charged and neutral superfluids: a hydrodynamic approach. Phys. Rev. B, 57, 575–581.
Stalp, S. R., Skrbek, L., and Donnelly, R. J. 1999. Decay of grid turbulence in a finite channel. Phys. Rev. Lett., 82, 4831–4834.
Stauffer, D. 1967. Mutual friction and the stability of vortex lattices. Phys. Lett. A, 24, 72.
Stauffer, D., and Fetter, A. L. 1968. Distribution of vortices in rotating helium II. Phys. Rev., 168, 156–159.
Stone, M. 1996. Spectral flow, Magnus force, and mutual friction via the geometric optics limit of Andreev reflection. Phys. Rev. B, 54, 13222–13229.
Stone, M. 2000. Acoustic energy and momentum in a moving medium. Phys. Rev. E, 62, 1341–1350.
Suhl, H. 1965. Inertial mass of a moving fluxoid. Phys. Rev. Lett., 14, 226–229.
Suramlishvili, N., Baggaley, A.W., Barenghi, C. F., and Sergeev, Y. A. 2012. Cross-sections of Andreev scattering by quantized vortex rings in 3He-B. Phys. Rev. B, 85, 174526.
Svidzinsky, A., and Fetter, A. 2000. Dynamics of a vortex in a trapped Bose–Einstein condensate. Phys. Rev. A, 62, 063617.
Svistunov, B. V. 1995. Superfluid turbulence in the low-temperature limit. Phys. Rev. B, 52, 3647–3653.
Svistunov, B., Babaev, E., and Prokof'ev, N. 2015. Superfluid States of Matter. Taylor & Francis.
Swanson, C. E., Barenghi, C. F., and Donnelly, R. J. 1983. Rotation of a tangle of quantized vortex lines in He II. Phys. Rev. Lett., 50, 190–193.
Tada, Y., Nie, W., and Oshikawa, M. 2015. Orbital angular momentum and spectral flow in two-dimernsional superfluids. Phys. Rev. Lett., 114, 195301.
Thompson, W. 1880. Vibrations of a columnar vortex. Philos. Mag., 10, 155–168.
Thouless, D. J. 1998. Topological Quantum Numbers in Nonrelativistic Physics. World Scientific.
Thouless, D. J., Ao, P., and Niu, Q. 1996. Transverse force on a quantized vortex in a superfluid. Phys. Rev. Lett., 76, 3758–3761.
Thouless, D. J., Geller, M. R., Vinen, W. F., Fortin, J.-Y., and Rhee, S. W. 2001. Vortex dynamics in the two-fluid model. Phys. Rev. B, 63, 224504.
Tinkham, M. 1975. Introduction to Superconductivity. McGraw-Hill.
Tisza, L. 1940. Sur la théorie des liquides quantiques. Application a l'hélium liquide. J. Phys. Radium, 1, 164–172.
Tkachenko, V. K. 1965. On vortex lattices. Zh. Eksp. Teor. Fiz., 49, 1875–1883 [Sov. Phys.– JETP, 22, 1282–1286 (1966)].
Tkachenko, V. K. 1966. Stability of vortex lattices. Zh. Eksp. Teor. Fiz., 50, 1573–1585 [Sov. Phys.–JETP, 23, 1049–1056 (1966)].
Tkachenko, V. K. 1969. Elasticity of vortex lattices. Zh. Eksp. Teor. Fiz., 56, 1763–1765 [Sov. Phys.–JETP, 29, 945–946 (1969)].
Tkachenko, V. K. 1974. Properties of rotating helium. Zh. Eksp. Teor. Fiz., 67, 1984–1988 [Sov. Phys.–JETP, 40, 985–987 (1975)].
Tough, J. T. 1982. Superfluid turbulence. Page 133 of: Brewer, D. F. (ed.), Progress in Low Temperature Physics, vol. 8. North-Holand.
Tsakadze, J. S. 1964. Attempt to detect an irrotational region in rotating He II. Zh. Eksp. Teor. Fiz., 46, 505–507 [Sov. Phys.–JETP, 19, 343–344 (1964)].
Tsakadze, J. S., and Chkheidze, I. M. 1960. Measurement of the logarithmic damping decrement of a hollow cylinder in rotating helium II. Zh. Eksp. Teor. Fiz., 38, 637– 638 [Sov. Phys.–JETP, 11, 457–458 (1960)].
Tsakadze, J. S., and Tsakadze, S. J. 1973. Velocity oscillations of a freely rotating vessel with helium II. Pis'ma Zh. Eksp. Teor. Fiz., 18, 605–608 [JETP Lett., 18, 355–357 (1973)].
Tsakadze, J. S., and Tsakadze, S. J. 1975. Superfluidity in pulsars. Usp. Fiz. Nauk, 115, 503–519 [Sov. Phys.–Usp., 18, 242–250 (1975)].
Tsakadze, J. S., Tsakadze, S. J., and Sonin, E. B. 1980. Comment on ‘Continuum model of vortex oscillations in rotating superfluids’. Phys. Rev. B, 21, 3028–3029.
Tsakadze, S. J. 1976. Oscillations of a vortex system in rotating He II. Zh. Eksp. Teor. Fiz., 71, 754–759. [Sov. Phys.–JETP, 44, 398–400 (1976)].
Tsakadze, S. J. 1978. Collective oscillations of the vortex lattice in He II. Fiz. Nizk. Temp., 4, 148–151 [Sov. J. Low Temp. Phys., 4, 72–74 (1978)].
Tsubota, M., Araki, T., and Vinen, W. F. 2003. Diffusion of an inhomogeneous vortex tangle. Physica B, 329–333, 224–225.
Tsubota, M., Kobayashi, M., and Takeuchi, H. 2013. Quantum hydrodynamics. Phys. Rep., 522, 191–238.
Ueda, M. 2010. Fundamentals and New Frontiers of Bose–Einstein Condensation. World Scientific.
van der Zant, H. S. J., Fritschy, F. C., Orlando, T. P., and Mooij, J. E. 1992. Ballistic vortices in Josephson-junction arrays. Europhys. Lett., 18, 343–348.
Van Sciver, S. W., and Barenghi, C. F. 2009. Visualisation of quantum turbulence. Pages 247–303 of: Halperin, B., and Tsubota, M. (eds.), Progress in Low Temperature Physics: Quantum Turbulence. Progress in Low Temperature Physics, vol. 16. Elsevier.
Van Vijfeijken, A. G., Walraven, A., and Staas, F. A. 1969. Energy and stability of vortex rings in liquid helium II; critical velocities. Physica, 44, 415–436.
Varoquaux, E. 2015. Anderson's considerations on the flow of superfluid helim: some offshoots. Rev. Mod. Phys., 87, 803–854.
Vinen, W. F. 1957a. Mutual friction in a heat current in liquid helium II. I. Experiments on steady heat currents. Proc. R. Soc. London Ser. A, 240, 114–127.
Vinen, W. F. 1957b. Mutual friction in a heat current in liquid helium II. II. Experiments on transient effects. Proc. R. Soc. London Ser. A, 240, 128–143.
Vinen, W. F. 1957c. Mutual friction in a heat current in liquid helium II. III. Theory of the mutual friction. Proc. R. Soc. London Ser. A, 242, 493–515.
Vinen, W. F. 1961a. The detection of single quanta of circulation in liquid helium II. Proc. R. Soc. London Ser. A, 260, 218–236.
Vinen, W. F. 1961b. Vortex lines in liquid helium II. Pages 1–57 of: Gorter, C. J. (ed.), Progress in Low Temperature Physics, vol. 3. North-Holand.
Vinen, W. F. 2000. Classical character of turbulence in a quantum liquid. Phys. Rev. B, 61, 1410–1420.
Vinen, W. F. 2001. Decay of superfluid turbulence at a very low temperature: the radiation of sound from a Kelvin wave on a quantized vortex. Phys. Rev. B, 64, 134520.
Vinen, W. F. 2005. Theory of quantum grid turbulence in superfluid 3He-B. Phys. Rev. B, 71, 024513.
Vinen, W. F. 2010. Quantum turbulence: achievements and challenges. J. Low Temp. Phys., 161, 419–444.
Vinen, W. F. 2014. Quantum turbulence: aspects of visualization and homogeneous turbulence. J. Low Temp. Phys., 175, 305–316.
Vinen, W. F., and Niemela, J. J. 2002. Quantum turbulence. J. Low Temp. Phys., 128, 167–231.
Vinen, W. F., and Skrbek, L. 2014. Quantum turbulence generated by oscillating structures. PNAS, 111(suppl.1), 4699–4706.
Vinen, W. F., Tsubota, M., and Mitani, A. 2003. Kelvin-wave cascade on a vortex in superfluid 4He at a very low temperature. Phys. Rev. Lett., 91, 135301.
Vollhardt, D., and Wölfle, P. 1990. The Superfluid Phases of Helium 3. Taylor & Francis.
Volovik, G. E. 1972. Quantum-mechanical formation of vortices in a superfluid liquid. Pis'ma Zh. Eksp. Teor. Fiz., 15, 116–120 [JETP Lett., 15, 81–83 (1972)].
Volovik, G. E. 1975. Orbital momentum and orbital waves in the anisotropic A-phase of superfluid 3He. Pis'ma Zh. Eksp. Teor. Fiz., 22, 234–237 [JETP Lett., 22, 108–110 (1975)].
Volovik, G. E. 1984. Superfluid properties of 3He-A. Usp. Fiz. Nauk, 143, 73–109 [Sov. Phys.–Usp., 27, 363–384 (1984)].
Volovik, G. E. 1993. Vortex motion in Fermi superfluids and Callan–Harvey effect. Pis'ma Zh. Eksp. Teor. Fiz., 57, 233–237 [JETP Lett., 57, 244 (1993)].
Volovik, G. E. 2003a. Classical and quantum regimes of the superfluid turbulence. Pis'ma Zh. Eksp. Teor. Fiz., 78, 1021–1025 [JETP Lett., 78, 533–537 (2003)].
Volovik, G. E. 2003b. The Universe in a Helium Droplet. Oxford University Press.
Volovik, G. E. 2014. Orbital momentum of chiral superfluids and spectral asymmetry of edge states. Pis'ma Zh. Eksp. Teor. Fiz., 100, 843–846 [JETP Lett., 100, 742–745 (2014)].
Volovik, G. E., and Dotsenko, V. S. 1980. Hydrodynamics of defects in condensed media, using as examples vortices in rotating He II and disclinations in a planar magnet. Zh. Eksp. Teor. Fiz., 78, 132–148 [Sov. Phys.–JETP, 51, 65–73 (1980)].
Volovik, G. E., and Kopnin, N. B. 1977. Rotating 3He-A. Pis'ma Zh. Eksp. Teor. Fiz., 25, 26–28 [JETP Lett., 25, 22–24 (1977)].
Volovik, G. E., and Mineev, V. P. 1981. 3He-A vs Bose liquid: orbital angular momentum and orbital dynamics. Zh. Eksp. Teor. Fiz., 81, 989–1000 [Sov. Phys.–JETP, 54, 524– 530 (1980)].
Walmsley, P. M., and Golov, A. I. 2008. Quantum and quasiclassical types of superfluid turbulence. Phys. Rev. Lett., 100, 245301.
Walmsley, P. M., and Golov, A. I. 2012a. Chirality of superfluid 3He-A. Phys. Rev. Lett., 109, 215301.
Walmsley, P. M., and Golov, A. I. 2012b. Rotating quantum turbulence in superfluid 4He in the T = 0 limit. Phys. Rev. B, 86, 060518.
Walmsley, P. M., Golov, A. I., Hall, H. E., Levchenko, A. A., and Vinen, W. F. 2007. Dissipation of quantum turbulence in the zero temperature limit. Phys. Rev. Lett., 99, 265302.
Walmsley, P., Zmeev, D., Pakpour, F., and Golov, A. 2014. Dynamics of quantum turbulence of different spectra. PNAS, 111(suppl.1), 4691–4698.
Watanabe, G., Baym, G., and Pethick, C. J. 2004. Landau levels and the Thomas–Fermi structure of rapidly rotating Bose–Einstein condensates. Phys. Rev. Lett., 93, 190401.
Wexler, C., Thouless, D. J., Ao, P., and Niu, Q. 1998a. Wexler et al. reply. Phys. Rev. Lett., 80, 4357–4357.
Wexler, C., Thouless, D. J., Ao, P., and Niu, Q. 1998b. Wexler et al. reply. Phys. Rev. Lett., 81, 4277–4277.
White, A. C., Anderson, B. P., and Bagnato, V. 2014. Vortex filament method as a tool for computational visualization of quantum turbulence. PNAS, 111(suppl.1), 4719–4726.
Williams, M. R., and Fetter, A. L. 1977. Continuum model of vortex oscillations in rotating superfluids. Phys. Rev. B, 16, 4846–4852.
Yarmchuk, E. J., and Glaberson, W. I. 1978. Thermorotation effects in superfluid helium. Phys. Rev. Lett., 41, 564–568.
Yarmchuk, E. J., and Glaberson, W. I. 1979. Counterflow in rotating superfluid helium. J. Low Temp. Phys., 36, 381–430.
Yarmchuk, E. J., Gordon, M. J. V., and Packard, R. E. 1979. Observation of stationary vortex arrays in rotating superfluid helium. Phys. Rev. Lett., 43, 214–217.
Zieve, R., Mukharsky, Yu.M., Close, J. D., Davis, J. C., and Packard, R. E. 1992. Precession of a single vortex line in superfluid 3He-B. Phys. Rev. Lett., 68, 1327–1330.
Zmeev, D. E., Walmsley, P. M., Golov, A. I., McClintock, P. V. E., Fisher, S. N., and Vinen, W. F. 2015. Dissipation of quasiclassical turbulence in superfluid 4He. Phys. Rev. Lett., 115, 155303.
