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Magnetic field amplification in turbulent astrophysical plasmas

  • Christoph Federrath (a1)

Abstract

Magnetic fields play an important role in astrophysical accretion discs and in the interstellar and intergalactic medium. They drive jets, suppress fragmentation in star-forming clouds and can have a significant impact on the accretion rate of stars. However, the exact amplification mechanisms of cosmic magnetic fields remain relatively poorly understood. Here, I start by reviewing recent advances in the numerical and theoretical modelling of the turbulent dynamo, which may explain the origin of galactic and intergalactic magnetic fields. While dynamo action was previously investigated in great detail for incompressible plasmas, I here place particular emphasis on highly compressible astrophysical plasmas, which are characterised by strong density fluctuations and shocks, such as the interstellar medium. I find that dynamo action works not only in subsonic plasmas, but also in highly supersonic, compressible plasmas, as well as for low and high magnetic Prandtl numbers. I further present new numerical simulations from which I determine the growth of the turbulent (un-ordered) magnetic field component ( $B_{turb}$ ) in the presence of weak and strong guide fields ( $B_{0}$ ). I vary $B_{0}$ over five orders of magnitude and find that the dependence of $B_{turb}$ on $B_{0}$ is relatively weak, and can be explained with a simple theoretical model in which the turbulence provides the energy to amplify $B_{turb}$ . Finally, I discuss some important implications of magnetic fields for the structure of accretion discs, the launching of jets and the star-formation rate of interstellar clouds.

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Corresponding author

Email address for correspondence: christoph.federrath@anu.edu.au

References

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Bai, X.-N. & Stone, J. M. 2014 Magnetic flux concentration and zonal flows in magnetorotational instability turbulence. Astrophys. J. 796, 31.
Balbus, S. A. & Hawley, J. F. 1991 A powerful local shear instability in weakly magnetized disks. I - Linear analysis. II - Nonlinear evolution. Astrophys. J. 376, 214233.
Balsara, D. S., Kim, J., Mac Low, M.-M. & Mathews, G. J. 2004 Amplification of interstellar magnetic fields by supernova-driven turbulence. Astrophys. J. 617, 339349.
Banerjee, R., Klessen, R. S. & Fendt, C. 2007 Can protostellar jets drive supersonic turbulence in molecular clouds? Astrophys. J. 668, 10281041.
Banerjee, R., Vázquez-Semadeni, E., Hennebelle, P. & Klessen, R. S. 2009 Clump morphology and evolution in MHD simulations of molecular cloud formation. Mon. Not. R. Astron. Soc. 398, 10821092.
Beck, R. 2016 Magnetic fields in spiral galaxies. Astron. Astrophys. 24, 4.
Beck, R., Brandenburg, A., Moss, D., Shukurov, A. & Sokoloff, D. 1996 Galactic magnetism: recent developments and perspectives. Annu. Rev. Astron. Astrophys. 34, 155206.
Benincasa, S. M., Tasker, E. J., Pudritz, R. E. & Wadsley, J. 2013 Giant molecular cloud formation in disk galaxies: characterizing simulated versus observed cloud catalogs. Astrophys. J. 776, 23.
Benzi, R., Ciliberto, S., Tripiccione, R., Baudet, C., Massaioli, F. & Succi, S. 1993 Extended self-similarity in turbulent flows. Phys. Rev. E 48, 29.
Beresnyak, A. & Miniati, F. 2016 Turbulent amplification and structure of the intracluster magnetic field. Astrophys. J. 817, 127.
Bhat, P. & Subramanian, K. 2013 Fluctuation dynamos and their Faraday rotation signatures. Mon. Not. R. Astron. Soc. 429, 24692481.
Bhat, P. & Subramanian, K. 2014 Fluctuation dynamo at finite correlation times and the kazantsev spectrum. Astrophys. J. Lett. 791, L34.
Blandford, R. D. & Payne, D. G. 1982 Hydromagnetic flows from accretion discs and the production of radio jets. Mon. Not. R. Astron. Soc. 199, 883903.
Boldyrev, S. 2002 Kolmogorov-Burgers model for star-forming turbulence. Astrophys. J. 569, 841845.
Boldyrev, S. & Cattaneo, F. 2004 Magnetic-field generation in kolmogorov turbulence. Phys. Rev. Lett. 92 (14), 144501.
Boldyrev, S., Nordlund, Å. & Padoan, P. 2002 Supersonic turbulence and structure of interstellar molecular clouds. Phys. Rev. Lett. 89 (3), 031102.
Bovino, S., Schleicher, D. R. G. & Schober, J. 2013 Turbulent magnetic field amplification from the smallest to the largest magnetic Prandtl numbers. New J. Phys. 15 (1), 013055.
Brandenburg, A. 2014 Magnetic prandtl number dependence of the kinetic-to-magnetic dissipation ratio. Astrophys. J. 791, 12.
Brandenburg, A., Sokoloff, D. & Subramanian, K. 2012 Current status of turbulent dynamo theory. From large-scale to small-scale dynamos. Space Sci. Rev. 169, 123157.
Brandenburg, A. & Subramanian, K. 2005 Astrophysical magnetic fields and nonlinear dynamo theory. Phys. Rep. 417, 1209.
Breitschwerdt, D., de Avillez, M. A., Fuchs, B. & Dettbarn, C. 2009 What physical processes drive the interstellar medium in the local bubble? Space Sci. Rev. 143, 263276.
Burgers, J. M. 1948 A mathematical model illustrating the theory of turbulence. Adv. Appl. Mech. 1, 171199.
Bürzle, F., Clark, P. C., Stasyszyn, F., Greif, T., Dolag, K., Klessen, R. S. & Nielaba, P. 2011 Protostellar collapse and fragmentation using an MHD GADGET. Mon. Not. R. Astron. Soc. 412, 171186.
Carroll, J. J., Frank, A. & Blackman, E. G. 2010 Isotropically driven versus outflow driven turbulence: observational consequences for molecular clouds. Astrophys. J. 722, 145157.
Cattaneo, F. & Hughes, D. W. 2001 Solar dynamo theory: a new look at the origin of small-scale magnetic fields. Astron. Geophys. 42 (3), 030000–3.
Cho, J., Vishniac, E. T., Beresnyak, A., Lazarian, A. & Ryu, D. 2009 Growth of magnetic fields induced by turbulent motions. Astrophys. J. 693, 14491461.
Crutcher, R. M. 2012 Magnetic fields in molecular clouds. Annu. Rev. Astron. Astrophys. 50, 2963.
Cunningham, A. J., Frank, A., Carroll, J., Blackman, E. G. & Quillen, A. C. 2009 Protostellar outflow evolution in turbulent environments. Astrophys. J. 692, 816826.
de Avillez, M. A. & Breitschwerdt, D. 2005 Global dynamical evolution of the ISM in star forming galaxies. I. High resolution 3D simulations: effect of the magnetic field. Astron. Astrophys. 436, 585600.
Del Sordo, F. & Brandenburg, A. 2011 Vorticity production through rotation, shear, and baroclinicity. Astron. Astrophys. 528, A145.
Dobbs, C. L. & Bonnell, I. A. 2008 Simulations of spiral galaxies with an active potential: molecular cloud formation and gas dynamics. Mon. Not. R. Astron. Soc. 385, 18931902.
Dobbs, C. L., Glover, S. C. O., Clark, P. C. & Klessen, R. S. 2008 The ISM in spiral galaxies: can cooling in spiral shocks produce molecular clouds? Mon. Not. R. Astron. Soc. 389, 10971110.
Dotson, J. L., Vaillancourt, J. E., Kirby, L., Dowell, C. D., Hildebrand, R. H. & Davidson, J. A. 2010 350 $\unicode[STIX]{x1D707}$ m polarimetry from the caltech submillimeter observatory. Astrophys. J. Suppl. 186, 406426.
Dubey, A., Fisher, R., Graziani, C., Jordan, G. C. IV, Lamb, D. Q., Reid, L. B., Rich, P., Sheeler, D., Townsley, D. & Weide, K. 2008 Challenges of extreme computing using the FLASH code. In Numerical Modeling of Space Plasma Flows (ed. Pogorelov, N. V., Audit, E. & Zank, G. P.), Astronomical Society of the Pacific Conference Series, vol. 385, p. 145.
Elmegreen, B. G. 2009 Star formation in disks: spiral arms, turbulence, and triggering mechanisms. In IAU Symposium (ed. Andersen, J., Bland-Hawthorn, J. & Nordström, B.), IAU Symposium, vol. 254, p. 289.
Elmegreen, B. G. & Burkert, A. 2010 Accretion-driven turbulence and the transition to global instability in young galaxy disks. Astrophys. J. 712, 294302.
Elmegreen, B. G. & Scalo, J. 2004 Interstellar turbulence I: observations and processes. Annu. Rev. Astron. Astrophys. 42, 211273.
Eswaran, V. & Pope, S. B. 1988 An examination of forcing in direct numerical simulations of turbulence. Comput. Fluids 16, 257278.
Federrath, C. 2013 On the universality of supersonic turbulence. Mon. Not. R. Astron. Soc. 436, 12451257.
Federrath, C. 2015 Inefficient star formation through turbulence, magnetic fields and feedback. Mon. Not. R. Astron. Soc. 450, 40354042.
Federrath, C. 2016 On the universality of interstellar filaments: theory meets simulations and observations. Mon. Not. R. Astron. Soc. 457, 375388.
Federrath, C., Chabrier, G., Schober, J., Banerjee, R., Klessen, R. S. & Schleicher, D. R. G. 2011a Mach number dependence of turbulent magnetic field amplification: solenoidal versus compressive flows. Phys. Rev. Lett. 107 (11), 114504.
Federrath, C. & Klessen, R. S. 2012 The star formation rate of turbulent magnetized clouds: comparing theory, simulations, and observations. Astrophys. J. 761, 156.
Federrath, C. & Klessen, R. S. 2013 On the star formation efficiency of turbulent magnetized clouds. Astrophys. J. 763, 51.
Federrath, C., Klessen, R. S. & Schmidt, W. 2008 The density probability distribution in compressible isothermal turbulence: solenoidal versus compressive forcing. Astrophys. J. Lett. 688, L79L82.
Federrath, C., Klessen, R. S. & Schmidt, W. 2009 The fractal density structure in supersonic isothermal turbulence: solenoidal versus compressive energy injection. Astrophys. J. 692, 364374.
Federrath, C., Rathborne, J. M., Longmore, S. N., Kruijssen, J. M. D., Bally, J., Contreras, Y., Crocker, R. M., Garay, G., Jackson, J. M., Testi, L. et al. 2016a The link between solenoidal turbulence and slow star formation in G0.253 $+$ 0.016. In IAU Symposium 322, In press (arXiv:1609.08726).
Federrath, C., Rathborne, J. M., Longmore, S. N., Kruijssen, J. M. D., Bally, J., Contreras, Y., Crocker, R. M., Garay, G., Jackson, J. M., Testi, L. et al. 2016b The link between turbulence, magnetic fields, filaments, and star formation in the central molecular zone cloud G0.253 $+$ 0.016. Astrophys. J.; In press (arXiv:1609.05911).
Federrath, C., Roman-Duval, J., Klessen, R. S., Schmidt, W. & Mac Low, M.-M. 2010 Comparing the statistics of interstellar turbulence in simulations and observations. Solenoidal versus compressive turbulence forcing. Astron. Astrophys. 512, A81.
Federrath, C., Schober, J., Bovino, S. & Schleicher, D. R. G. 2014a The turbulent dynamo in highly compressible supersonic plasmas. Astrophys. J. Lett. 797, L19.
Federrath, C., Schrön, M., Banerjee, R. & Klessen, R. S. 2014b Modeling jet and outflow feedback during star cluster formation. Astrophys. J. 790, 128.
Federrath, C., Sur, S., Schleicher, D. R. G., Banerjee, R. & Klessen, R. S. 2011b A new jeans resolution criterion for (M)HD simulations of self-gravitating gas: application to magnetic field amplification by gravity-driven turbulence. Astrophys. J. 731, 62.
Ferrière, K. M. 2001 The interstellar environment of our galaxy. Rev. Mod. Phys. 73, 10311066.
Fisher, D. B., Glazebrook, K., Bolatto, A., Obreschkow, D., Mentuch Cooper, E., Wisnioski, E., Bassett, R., Abraham, R. G., Damjanov, I., Green, A. et al. 2014 Extreme gas fractions in clumpy, turbulent disk galaxies at $z\sim 0.1$ . Astrophys. J. Lett. 790, L30.
Frank, A., Ray, T. P., Cabrit, S., Hartigan, P., Arce, H. G., Bacciotti, F., Bally, J., Benisty, M., Eislöffel, J., Güdel, M. et al. 2014 Jets and outflows from star to cloud: observations confront theory. Protostars and Planets VI. pp. 451474. University of Arizona Press.
Frick, P., Stepanov, R. & Sokoloff, D. 2006 Large- and small-scale interactions and quenching in an $\unicode[STIX]{x1D6FC}^{2}$ -dynamo. Phys. Rev. E 74 (6), 066310.
Frisch, Uriel 1995 Turbulence, the Legacy of A. N. Kolmogorov. Cambridge University Press.
Fromang, S. 2010 MHD simulations of the magnetorotational instability in a shearing box with zero net flux: the case Pm $=$ 4. Astron. Astrophys. 514, L5.
Fromang, S., Papaloizou, J., Lesur, G. & Heinemann, T. 2010 MHD turbulence in accretion disks: the importance of the magnetic Prandtl number. In EAS Publications Series (ed. Montmerle, T., Ehrenreich, D. & Lagrange, A.-M.), EAS Publications Series, vol. 41, pp. 167170.
Fryxell, B., Olson, K., Ricker, P., Timmes, F. X., Zingale, M., Lamb, D. Q., MacNeice, P., Rosner, R., Truran, J. W. & Tufo, H. 2000 FLASH: an adaptive mesh hydrodynamics code for modeling astrophysical thermonuclear flashes. Astrophys. J. Suppl. 131, 273334.
Ginsburg, A., Federrath, C. & Darling, J. 2013 A measurement of the turbulence-driven density distribution in a non-star-forming molecular cloud. Astrophys. J. 779, 50.
Goldbaum, N. J., Krumholz, M. R., Matzner, C. D. & McKee, C. F. 2011 The global evolution of giant molecular clouds. II. The role of accretion. Astrophys. J. 738, 101.
Grasso, D. & Rubinstein, H. R. 2001 Magnetic fields in the early Universe. Phys. Rep. 348, 163266.
Green, A. W., Glazebrook, K., McGregor, P. J., Abraham, R. G., Poole, G. B., Damjanov, I., McCarthy, P. J., Colless, M. & Sharp, R. G. 2010 High star formation rates as the origin of turbulence in early and modern disk galaxies. Nature 467, 684686.
Gritschneder, M., Naab, T., Walch, S., Burkert, A. & Heitsch, F. 2009 Driving turbulence and triggering star formation by ionizing radiation. Astrophys. J. Lett. 694, L26L30.
Haugen, N. E. L., Brandenburg, A. & Dobler, W. 2003 Is nonhelical hydromagnetic turbulence peaked at small scales? Astrophys. J. Lett. 597, L141L144.
Haugen, N. E. L., Brandenburg, A. & Dobler, W. 2004a Simulations of nonhelical hydromagnetic turbulence. Phys. Rev. E 70 (1), 016308.
Haugen, N. E. L., Brandenburg, A. & Mee, A. J. 2004b Mach number dependence of the onset of dynamo action. Mon. Not. R. Astron. Soc. 353, 947952.
Heitsch, F., Stone, J. M. & Hartmann, L. W. 2009 Effects of magnetic field strength and orientation on molecular cloud formation. Astrophys. J. 695, 248258.
Hennebelle, P., Banerjee, R., Vázquez-Semadeni, E., Klessen, R. S. & Audit, E. 2008 From the warm magnetized atomic medium to molecular clouds. Astron. Astrophys. 486, L43L46.
Hennebelle, P., Commerçon, B., Joos, M., Klessen, R. S., Krumholz, M., Tan, J. C. & Teyssier, R. 2011 Collapse, outflows and fragmentation of massive, turbulent and magnetized prestellar barotropic cores. Astron. Astrophys. 528, A72.
Hennebelle, P. & Falgarone, E. 2012 Turbulent molecular clouds. Astron. Astrophys. 20, 55.
Hennebelle, P. & Teyssier, R. 2008 Magnetic processes in a collapsing dense core. II. Fragmentation. Is there a fragmentation crisis? Astron. Astrophys. 477, 2534.
Heyer, M. H. & Brunt, C. M. 2004 The universality of turbulence in galactic molecular clouds. Astrophys. J. Lett. 615, L45L48.
Heyer, M. H. & Brunt, C. M. 2012 Trans-Alfvénic motions in the Taurus molecular cloud. Mon. Not. R. Astron. Soc. 420, 15621569.
Hopkins, P. F. 2013 A general theory of turbulent fragmentation. Mon. Not. R. Astron. Soc. 430, 16531693.
Hoyle, F. 1953 On the fragmentation of gas clouds into galaxies and stars. Astrophys. J. 118, 513.
Iapichino, L. & Brüggen, M. 2012 Magnetic field amplification by shocks in galaxy clusters: application to radio relics. Mon. Not. R. Astron. Soc. 423, 27812788.
Iapichino, L., Viel, M. & Borgani, S. 2013 Turbulence driven by structure formation in the circumgalactic medium. Mon. Not. R. Astron. Soc. 432, 25292540.
Iskakov, A. B., Schekochihin, A. A., Cowley, S. C., McWilliams, J. C. & Proctor, M. R. E. 2007 Numerical demonstration of fluctuation dynamo at low magnetic prandtl numbers. Phys. Rev. Lett. 98 (20), 208501.
Kainulainen, J., Federrath, C. & Henning, T. 2013 Connection between dense gas mass fraction, turbulence driving, and star formation efficiency of molecular clouds. Astron. Astrophys. 553, L8.
Kazantsev, A. P. 1968 Enhancement of a magnetic field by a conducting fluid. Sov. J. Experimental Theoret. Phys. 26, 1031.
Kazantsev, A. P., Ruzmaikin, A. A. & Sokolov, D. D. 1985 Magnetic field transport by an acoustic turbulence-type flow. Zhurnal Eksperimentalnoi i Teoreticheskoi Fiziki 88, 487494.
Kitsionas, S., Federrath, C., Klessen, R. S., Schmidt, W., Price, D. J., Dursi, L. J., Gritschneder, M., Walch, S., Piontek, R., Kim, J. et al. 2009 Algorithmic comparisons of decaying, isothermal, supersonic turbulence. Astron. Astrophys. 508, 541560.
Kleeorin, N., Rogachevskii, I. & Sokoloff, D. 2002 Magnetic fluctuations with a zero mean field in a random fluid flow with a finite correlation time and a small magnetic diffusion. Phys. Rev. E 65 (3), 036303.
Klessen, R. S. & Hennebelle, P. 2010 Accretion-driven turbulence as universal process: galaxies, molecular clouds, and protostellar disks. Astron. Astrophys. 520, A17.
Kolmogorov, A. N. 1941 Dissipation of energy in locally isotropic turbulence. Dokl. Akad. Nauk SSSR 32, 1618.
Konstandin, L., Girichidis, P., Federrath, C. & Klessen, R. S. 2012 A new density variance-mach number relation for subsonic and supersonic isothermal turbulence. Astrophys. J. 761, 149.
Körtgen, B. & Banerjee, R. 2015 Impact of magnetic fields on molecular cloud formation and evolution. Mon. Not. R. Astron. Soc. 451, 33403353.
Kowal, G. & Lazarian, A. 2010 Velocity field of compressible magnetohydrodynamic turbulence: wavelet decomposition and mode scalings. Astrophys. J. 720, 742756.
Kritsuk, A. G., Norman, M. L., Padoan, P. & Wagner, R. 2007 The statistics of supersonic isothermal turbulence. Astrophys. J. 665, 416431.
Krumholz, M. R. 2014 The big problems in star formation: the star formation rate, stellar clustering, and the initial mass function. Phys. Rep. 539, 49.
Krumholz, M. R., Bate, M. R., Arce, H. G., Dale, J. E., Gutermuth, R., Klein, R. I., Li, Z.-Y., Nakamura, F. & Zhang, Q. 2014 Star cluster formation and feedback. Protostars and Planets VI. pp. 243266.
Krumholz, M. R., Matzner, C. D. & McKee, C. F. 2006 The global evolution of giant molecular clouds. I. Model formulation and quasi-equilibrium behavior. Astrophys. J. 653, 361382.
Larson, R. B. 1981 Turbulence and star formation in molecular clouds. Mon. Not. R. Astron. Soc. 194, 809826.
Latif, M. A., Schleicher, D. R. G. & Schmidt, W. 2014 Magnetic fields during the formation of supermassive black holes. Mon. Not. R. Astron. Soc. 440, 15511561.
Lee, D. & Deane, A. E. 2009 An unsplit staggered mesh scheme for multidimensional magnetohydrodynamics. J. Comput. Phys. 228, 952975.
Lee, E. J., Murray, N. & Rahman, M. 2012 Milky way star-forming complexes and the turbulent motion of the Galaxy’s molecular gas. Astrophys. J. 752, 146.
Lesaffre, P. & Balbus, S. A. 2007 Exact shearing box solutions of magnetohydrodynamic flows with resistivity, viscosity and cooling. Mon. Not. R. Astron. Soc. 381, 319333.
Li, H.-B., Blundell, R., Hedden, A., Kawamura, J., Paine, S. & Tong, E. 2011 Evidence for dynamically important magnetic fields in molecular clouds. Mon. Not. R. Astron. Soc. 411, 20672075.
Li, H.-B., Goodman, A., Sridharan, T. K., Houde, M., Li, Z.-Y., Novak, G. & Tang, K. S. 2014 The link between magnetic fields and cloud/star formation. Protostars and Planets VI. pp. 101123.
Li, H.-B. & Henning, T. 2011 The alignment of molecular cloud magnetic fields with the spiral arms in M33. Nature 479, 499501.
Li, P. S., McKee, C. F. & Klein, R. I. 2015 Magnetized interstellar molecular clouds - I. Comparison between simulations and Zeeman observations. Mon. Not. R. Astron. Soc. 452, 25002527.
Lynden-Bell, D. 2003 On why discs generate magnetic towers and collimate jets. Mon. Not. R. Astron. Soc. 341, 13601372.
Mac Low, M.-M. 1999 The energy dissipation rate of supersonic, magnetohydrodynamic turbulence in molecular clouds. Astrophys. J. 524, 169178.
Mac Low, M.-M. & Klessen, R. S. 2004 Control of star formation by supersonic turbulence. Rev. Mod. Phys. 76, 125194.
Mac Low, M.-M., Klessen, R. S., Burkert, A. & Smith, M. D. 1998 Kinetic energy decay rates of supersonic and super-alfvénic turbulence in star-forming clouds. Phys. Rev. Lett. 80, 27542757.
Mason, J., Malyshkin, L., Boldyrev, S. & Cattaneo, F. 2011 Magnetic dynamo action in random flows with zero and finite correlation times. Astrophys. J. 730, 86.
McKee, C. F. 1989 Photoionization-regulated star formation and the structure of molecular clouds. Astrophys. J. 345, 782801.
McKee, C. F. & Ostriker, E. C. 2007 Theory of star formation. Annu. Rev. Astron. Astrophys. 45, 565687.
Mee, A. J. & Brandenburg, A. 2006 Turbulence from localized random expansion waves. Mon. Not. R. Astron. Soc. 370, 415419.
Mihalas, D. & Mihalas, B. W. 1984 Foundations of Radiation Hydrodynamics. Oxford University Press.
Miniati, F. & Bell, A. R. 2011 Resistive magnetic field generation at cosmic dawn. Astrophys. J. 729, 73.
Miniati, F. & Beresnyak, A. 2015 Self-similar energetics in large clusters of galaxies. Nature 523, 5962.
Miyoshi, T. & Kusano, K. 2005 A multi-state HLL approximate Riemann solver for ideal magnetohydrodynamics. J. Comput. Phys. 208, 315344.
Moll, R., Pietarila Graham, J., Pratt, J., Cameron, R. H., Müller, W.-C. & Schüssler, M. 2011 Universality of the small-scale dynamo mechanism. Astrophys. J. 736, 36.
Monchaux, R., Berhanu, M., Bourgoin, M., Moulin, M., Odier, P., Pinton, J.-F., Volk, R., Fauve, S., Mordant, N., Pétrélis, F. et al. 2007 Generation of a magnetic field by dynamo action in a turbulent flow of liquid sodium. Phys. Rev. Lett. 98 (4), 044502.
Moss, D. & Shukurov, A. 1996 Turbulence and magnetic fields in elliptical galaxies. Mon. Not. R. Astron. Soc. 279, 229239.
Mukherjee, D., Bicknell, G. V., Sutherland, R. & Wagner, A. 2016 Relativistic jet feedback in high-redshift galaxies - I. Dynamics. Mon. Not. R. Astron. Soc. 461, 967983.
Nakamura, F. & Li, Z.-Y. 2008 Magnetically regulated star formation in three dimensions: the case of the taurus molecular cloud complex. Astrophys. J. 687, 354375.
Nakamura, F. & Li, Z.-Y. 2007 Protostellar turbulence driven by collimated outflows. Astrophys. J. 662, 395412.
Nakamura, F. & Li, Z.-Y. 2011 Clustered star formation in magnetic clouds: properties of dense cores formed in outflow-driven turbulence. Astrophys. J. 740, 36.
Nordlund, Å. & Padoan, P. 1999 The density PDFs of supersonic random flows. In Interstellar Turbulence (ed. Franco, J. & Carraminana, A.), p. 218.
Norman, C. & Silk, J. 1980 Clumpy molecular clouds – A dynamic model self-consistently regulated by T. Tauri star formation. Astrophys. J. 238, 158174.
Offner, S. S. R., Clark, P. C., Hennebelle, P., Bastian, N., Bate, M. R., Hopkins, P. F., Moraux, E. & Whitworth, A. P. 2014 The origin and universality of the stellar initial mass function. Protostars and Planets VI. pp. 5375.
Ossenkopf, V. & Mac Low, M.-M. 2002 Turbulent velocity structure in molecular clouds. Astron. Astrophys. 390, 307326.
Padoan, P., Federrath, C., Chabrier, G., Evans, N. J. II, Johnstone, D., Jørgensen, J. K., McKee, C. F. & Nordlund, Å. 2014 The star formation rate of molecular clouds. Protostars and Planets VI. pp. 77100.
Padoan, P. & Nordlund, Å. 1999 A super-alfvénic model of dark clouds. Astrophys. J. 526, 279294.
Padoan, P. & Nordlund, Å. 2011 The star formation rate of supersonic magnetohydrodynamic turbulence. Astrophys. J. 730, 40.
Padoan, P., Pan, L., Haugbølle, T. & Nordlund, Å. 2016 Supernova driving. I. The origin of molecular cloud turbulence. Astrophys. J. 822, 11.
Passot, T., Vazquez-Semadeni, E. & Pouquet, A. 1995 A turbulent model for the interstellar medium. II. Magnetic fields and rotation. Astrophys. J. 455, 536.
Peters, T., Banerjee, R., Klessen, R. S. & Mac Low, M.-M. 2011 The interplay of magnetic fields, fragmentation, and ionization feedback in high-mass star formation. Astrophys. J. 729, 72.
Peters, T., Banerjee, R., Klessen, R. S., Mac Low, M.-M., Galván-Madrid, R. & Keto, E. R. 2010 H II regions: witnesses to massive star formation. Astrophys. J. 711, 10171028.
Pietarila Graham, J., Cameron, R. & Schüssler, M. 2010 Turbulent small-scale dynamo action in solar surface simulations. Astrophys. J. 714, 16061616.
Pillai, T., Kauffmann, J., Tan, J. C., Goldsmith, P. F., Carey, S. J. & Menten, K. M. 2015 Magnetic fields in high-mass infrared dark clouds. Astrophys. J. 799, 74.
Pinto, C. & Galli, D. 2008 Three-fluid plasmas in star formation. II. Momentum transfer rate coefficients. Astron. Astrophys. 484, 1728.
Piontek, R. A. & Ostriker, E. C. 2004 Thermal and magnetorotational instability in the interstellar medium: two-dimensional numerical simulations. Astrophys. J. 601, 905920.
Piontek, R. A. & Ostriker, E. C. 2007 Models of vertically stratified two-phase ISM disks with MRI-driven turbulence. Astrophys. J. 663, 183203.
Price, D. J. & Bate, M. R. 2007 The impact of magnetic fields on single and binary star formation. Mon. Not. R. Astron. Soc. 377, 7790.
Price, D. J. & Federrath, C. 2010 A comparison between grid and particle methods on the statistics of driven, supersonic, isothermal turbulence. Mon. Not. R. Astron. Soc. 406, 16591674.
Price, D. J., Federrath, C. & Brunt, C. M. 2011 The density variance–mach number relation in supersonic, isothermal turbulence. Astrophys. J. Lett. 727, L21.
Pudritz, R. E., Ouyed, R., Fendt, C. & Brandenburg, A. 2007 Disk winds, jets, and outflows: theoretical and computational foundations. Protostars and Planets V. pp. 277294.
Roberts, P. H. & Glatzmaier, G. A. 2000 Geodynamo theory and simulations. Rev. Mod. Phys. 72, 10811123.
Robertson, B. & Goldreich, P. 2012 Adiabatic heating of contracting turbulent fluids. Astrophys. J. Lett. 750, L31.
Rogachevskii, I. & Kleeorin, N. 1997 Intermittency and anomalous scaling for magnetic fluctuations. Phys. Rev. E 56, 417426.
Roman-Duval, J., Federrath, C., Brunt, C., Heyer, M., Jackson, J. & Klessen, R. S. 2011 The turbulence spectrum of molecular clouds in the galactic ring survey: a density-dependent principal component analysis calibration. Astrophys. J. 740, 120.
Ryu, D., Kang, H., Cho, J. & Das, S. 2008 Turbulence and magnetic fields in the large-scale structure of the universe. Science 320, 909.
Scalo, J. & Elmegreen, B. G. 2004 Interstellar turbulence II: implications and effects. Annu. Rev. Astron. Astrophys. 42, 275316.
Scalo, J. M. & Pumphrey, W. A. 1982 Dissipation of supersonic turbulence in interstellar clouds. Astrophys. J. Lett. 258, L29L33.
Schekochihin, A. A., Cowley, S. C., Taylor, S. F., Maron, J. L. & McWilliams, J. C. 2004 Simulations of the small-scale turbulent dynamo. Astrophys. J. 612, 276307.
Schekochihin, A. A., Iskakov, A. B., Cowley, S. C., McWilliams, J. C., Proctor, M. R. E. & Yousef, T. A. 2007 Fluctuation dynamo and turbulent induction at low magnetic Prandtl numbers. New J. Phys. 9, 300.
Schekochihin, A. A. & Kulsrud, R. M. 2001 Finite-correlation-time effects in the kinematic dynamo problem. Phys. Plasmas 8, 49374953.
Schleicher, D. R. G., Banerjee, R., Sur, S., Arshakian, T. G., Klessen, R. S., Beck, R. & Spaans, M. 2010 Small-scale dynamo action during the formation of the first stars and galaxies. I. The ideal MHD limit. Astron. Astrophys. 522, A115.
Schleicher, D. R. G. & Beck, R. 2013 A new interpretation of the far-infrared – radio correlation and the expected breakdown at high redshift. Astron. Astrophys. 556, A142.
Schleicher, D. R. G., Schober, J., Federrath, C., Bovino, S. & Schmidt, W. 2013 The small-scale dynamo: breaking universality at high Mach numbers. New J. Phys. 15 (2), 023017.
Schmidt, W., Federrath, C., Hupp, M., Kern, S. & Niemeyer, J. C. 2009 Numerical simulations of compressively driven interstellar turbulence: I. Isothermal gas. Astron. Astrophys. 494, 127.
Schmidt, W., Federrath, C. & Klessen, R. 2008 Is the Scaling of Supersonic Turbulence Universal? Phys. Rev. Lett. 101 (19), 194505.
Schober, J., Schleicher, D., Bovino, S. & Klessen, R. S. 2012a Small-scale dynamo at low magnetic Prandtl numbers. Phys. Rev. E 86 (6), 066412.
Schober, J., Schleicher, D., Federrath, C., Glover, S., Klessen, R. S. & Banerjee, R. 2012b The Small-scale Dynamo and Non-ideal Magnetohydrodynamics in Primordial Star Formation. Astrophys. J. 754, 99.
Schober, J., Schleicher, D., Federrath, C., Klessen, R. & Banerjee, R. 2012c Magnetic field amplification by small-scale dynamo action: Dependence on turbulence models and Reynolds and Prandtl numbers. Phys. Rev. E 85 (2), 026303.
Schober, J., Schleicher, D. R. G., Federrath, C., Bovino, S. & Klessen, R. S. 2015 Saturation of the turbulent dynamo. Phys. Rev. E 92 (2), 023010.
Seifried, D., Banerjee, R., Klessen, R. S., Duffin, D. & Pudritz, R. E. 2011 Magnetic fields during the early stages of massive star formation – I. Accretion and disc evolution. Mon. Not. R. Astron. Soc. 417, 10541073.
Shu, F. H., Adams, F. C. & Lizano, S. 1987 Star formation in molecular clouds – Observation and theory. Annu. Rev. Astron. Astrophys. 25, 2381.
Solomon, P. M., Rivolo, A. R., Barrett, J. & Yahil, A. 1987 Mass, luminosity, and line width relations of Galactic molecular clouds. Astrophys. J. 319, 730741.
Stahler, S. W. & Palla, F. 2004 The Formation of Stars. Wiley-VCH.
Stone, J. M., Ostriker, E. C. & Gammie, C. F. 1998 Dissipation in Compressible Magnetohydrodynamic Turbulence. Astrophys. J. Lett. 508, L99L102.
Subramanian, K.1997 Dynamics of fluctuating magnetic fields in turbulent dynamos incorporating ambipolar drifts arXiv:astro-ph/9708216.
Subramanian, K. 1999 Unified Treatment of Small- and Large-Scale Dynamos in Helical Turbulence. Phys. Rev. Lett. 83, 29572960.
Subramanian, K., Shukurov, A. & Haugen, N. E. L. 2006 Evolving turbulence and magnetic fields in galaxy clusters. Mon. Not. R. Astron. Soc. 366, 14371454.
Sun, M. & Takayama, K. 2003 Vorticity production in shock diffraction. J. Fluid Mech 478, 237256.
Sur, S., Federrath, C., Schleicher, D. R. G., Banerjee, R. & Klessen, R. S. 2012 Magnetic field amplification during gravitational collapse – influence of turbulence, rotation and gravitational compression. Mon. Not. R. Astron. Soc. 423, 31483162.
Sur, S., Schleicher, D. R. G., Banerjee, R., Federrath, C. & Klessen, R. S. 2010 The generation of strong magnetic fields during the formation of the first stars. Astrophys. J. Lett. 721, L134L138.
Tamburro, D., Rix, H.-W., Leroy, A. K., Low, M.-M. M., Walter, F., Kennicutt, R. C., Brinks, E. & de Blok, W. J. G. 2009 What is driving the HI velocity dispersion? Astron. J. 137, 44244435.
Tasker, E. J. & Tan, J. C. 2009 Star formation in disk galaxies. I. Formation and evolution of giant molecular clouds via gravitational instability and cloud collisions. Astrophys. J. 700, 358375.
Tisza, L. 1942 Supersonic absorption and stokes’ viscosity relation. Phys. Rev. 61, 531536.
Truesdell, C. 1952 On the viscosity of fluids according to the kinetic theory. Z. Phys. 131, 273289.
Vázquez-Semadeni, E., Ballesteros-Paredes, J. & Klessen, R. S. 2003 A holistic scenario of turbulent molecular cloud evolution and control of the star formation efficiency: first tests. Astrophys. J. Lett. 585, L131L134.
Vázquez-Semadeni, E., Banerjee, R., Gómez, G. C., Hennebelle, P., Duffin, D. & Klessen, R. S. 2011 Molecular cloud evolution – IV. Magnetic fields, ambipolar diffusion and the star formation efficiency. Mon. Not. R. Astron. Soc. 414, 25112527.
Vazquez-Semadeni, E., Canto, J. & Lizano, S. 1998 Does turbulent pressure behave as a logatrope? Astrophys. J. 492, 596.
Vázquez-Semadeni, E., Colín, P., Gómez, G. C., Ballesteros-Paredes, J. & Watson, A. W. 2010 Molecular cloud evolution. III. Accretion versus stellar feedback. Astrophys. J. 715, 13021317.
Vazza, F., Brüggen, M., Gheller, C. & Wang, P. 2014 On the amplification of magnetic fields in cosmic filaments and galaxy clusters. Mon. Not. R. Astron. Soc. 445, 37063722.
Vazza, F., Brunetti, G., Kritsuk, A., Wagner, R., Gheller, C. & Norman, M. 2009 Turbulent motions and shocks waves in galaxy clusters simulated with adaptive mesh refinement. Astron. Astrophys. 504, 3343.
Vishniac, E. T. 1994 Nonlinear instabilities in shock-bounded slabs. Astrophys. J. 428, 186208.
Waagan, K., Federrath, C. & Klingenberg, C. 2011 A robust numerical scheme for highly compressible magnetohydrodynamics: Nonlinear stability, implementation and tests. J. Comput. Phys. 230, 33313351.
Wang, P., Li, Z.-Y., Abel, T. & Nakamura, F. 2010 Outflow feedback regulated massive star formation in parsec-scale cluster-forming clumps. Astrophys. J. 709, 2741.
Wardle, M. & Ng, C. 1999 The conductivity of dense molecular gas. Mon. Not. R. Astron. Soc. 303, 239246.
Xu & Lazarian2016 Astrophys. J.; accepted (arXiv:1608.05161).
Zamora-Aviles, M., Vazquez-Semadeni, E., Koertgen, B., Banerjee, R. & Hartmann, L. 2016 The magnetic field as a turbulence suppressor in molecular cloud formation. Mon. Not. R. Astron. Soc.; submitted (arXiv:1606.05343).
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