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Kelvin-Helmholtz instability in dusty plasma medium: Fluid and particle approach

  • Sanat Tiwari (a1), Vikram Dharodi (a1), Amita Das (a1), Predhiman Kaw (a1) and Abhijit Sen (a1)...


The Kelvin-Helmholtz (KH) instability is studied in a two dimensional strongly coupled dusty plasma medium using a fluid approach as well as through a molecular dynamic (MD) simulation. For the fluid description the generalized hydrodynamic (GH) model which treats the strongly coupled dusty plasma as a visco-elastic fluid is adopted. For the MD studies the ensemble of particles are assumed to interact through a Yukawa potential. Both the approaches predict a stabilization of the KH growth rate with an increase in the strong coupling parameter. The present study also delineates the temporal evolution and the interaction of transverse shear waves with the collective dynamics of the dusty plasma medium within the framework of both these approaches.


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Ashwin, J and Ganesh, R 2010 Kelvin Helmholtz instability in strongly coupled Yukawa liquids. Phys. Rev. Lett. 215003 (May), 14.
Banerjee, D., Janaki, M. and Chakrabarti, N. 2012 Shear flow instability in a strongly coupled dusty plasma. Phys. Rev. E 85 (6), 17.
Bhattacharjee, S. and Das, N. 2013 Ion-wake-induced anomaly of dust lattice mode in the presence of an external magnetic field. Phys. Rev. E 88, 043106.
Chu, J. H. and Lin, I. 1994 Direct observation of coulomb crystals and liquids in strongly coupled rf dusty plasmas. Phys. Rev. Lett. 72, 40094012.
Donkó, Z. and Hartmann, P. 2008 Shear viscosity of strongly coupled Yukawa liquids. Physical Review E 78, 026408.
Frenkel, J. 1955 Kinetic Theory Of Liquids. Dover Publications.
Goree, J., Morfill, G. E., Tsytovich, V. N. and Vladimirov, S. V. 1999 Theory of dust voids in plasmas. Phys. Rev. E 59, 70557067.
Harding, E. C., et al. 2009 Observation of a kelvin-helmholtz instability in a high-energy-density plasma on the omega laser. Phys. Rev. Lett. 103, 045005.
Jain, N., Das, A., Kaw, P. and Sengupta, S. 2003 Nonlinear electron magnetohydrodynamic simulations of sausage-like instability of current channels. Phys. Plasmas 10 (1), 29.
Kalman, G. J., Golden, K. I., Donko, Z. and Hartmann, P. 2005 The quasilocalized charge approximation. J. Phys.: Conf. Ser. 11 (1), 254.
Kaw, P. K. and Sen, A. 1998 Low frequency modes in strongly coupled dusty plasmas. Phys. Plasmas 5 (10), 35523559.
Merlino, R. L., Barkan, A., Thompson, C. and D'Angelo, N. 1998 Laboratory studies of waves and instabilities in dusty plasmas. Phys. Plasmas 5 (5), 16071614.
Miura, A. 1999 Self-organization in the two-dimensional kelvin-helmholtz instability. Phys. Rev. Lett. 83 (8), 15861589.
Murillo, M. S. 2008 Viscosity estimates of liquid metals and warm dense matter using the Yukawa reference system. High Energy Density Phys. 4, 4957.
Ofman, L. and Thompson, B. J. 2011 Sdo/aia observation of kelvin-helmholtz instability in the solar corona. Astrophys. J. Lett. 734 (1), L11.
Plimpton, S. 1995 Fast parallel algorithms for short-range molecular dynamics. J. Comput. Phys. 117 (1), 119.
Samsonov, D., Goree, J., Thomas, H. and Morfill, G. 2000 Mach cone shocks in a two-dimensional Yukawa solid using a complex plasma. Phys. Rev. E 61 (5B), 55575572.
Schwabe, M., Rubin-Zuzic, M., Zhdanov, S., Ivlev, A. V., Thomas, H. M. and Morfill, G. E. 2009 Formation of bubbles, blobs, and surface cusps in complex plasmas. Phys. Rev. Lett. 102 (25), 255005.
Sen, A. K. 1964 Effect of compressibility on Kelvin-Helmholtz instability in a plasma. Phys. Fluids 7, 1293.
Teng, L.-W., Chang, M.-C., Tseng, Y.-P. and Lin, I. 2009 Wave-particle dynamics of wave breaking in the self-excited dust acoustic wave. Phys. Rev. Lett. 103 (2424), 14.
Thomas, H. M. and Morfill, G. E. 1996 Melting dynamics of a plasma crystal. Nature 379, 806809.
Thomson, W. (Lord, Kelvin) 1871 Hydrokinetic solutions and observations. Phil. Mag. 42 (4), 362377.
Tiwari, S. K., Das, A., Angom, D., Patel, B. G. and Kaw, P. 2012a Kelvin-helmholtz instability in a strongly coupled dusty plasma medium. Phys. Plasmas 19 (7), 073703.
Tiwari, S. K., Das, A., Kaw, P. and Sen, A. 2012b Kelvin–helmholtz instability in a weakly coupled dust fluid. Phys. Plasmas 19 (2), 023703.
Tiwari, S. K., Dharodi, V. S., Das, A., Patel, B. G. and Kaw, P. 2014 Evolution of sheared flow structure in visco-elastic fluids. AIP Conf. Proc. 1582 (1), 5565.
Wiechen, H. M. 2006 Simulations of Kelvin-Helmholtz modes in the dusty plasma environment of noctilucent clouds. J. Plasma Phys. 73 (05), 649658.
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Kelvin-Helmholtz instability in dusty plasma medium: Fluid and particle approach

  • Sanat Tiwari (a1), Vikram Dharodi (a1), Amita Das (a1), Predhiman Kaw (a1) and Abhijit Sen (a1)...


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