Skip to main content Accessibility help
×
Home

Nonlinear magnetosonic solitary and shock waves in strongly coupled quantum electron–positron–ion plasmas

  • Xiaodan Wang (a1), Yunliang Wang (a1), Tielu Liu (a1) and Fan Zhang (a1)

Abstract

Two-dimensional nonlinear magnetosonic solitary and shock waves propagating perpendicular to the applied magnetic field are presented in quantum electron–positron–ion plasmas with strongly coupled classical ions and weakly coupled quantum electrons and positrons. The generalized viscoelastic hydrodynamic model is used for the ions and a quantum hydrodynamic model is introduced for the electrons and positrons. In the weakly nonlinear limit, a modified Kadomstev–Petviashvili (KP) equation with a damping term and a KP–Burgers equation have been derived in the kinetic regime and hydrodynamic regime, respectively. The analytical and numerical solutions of the modified KP and KP–Burgers equations are also presented and analysed with the typical parameters of a white dwarf star and pulsar magnetosphere, which show that the quantum plasma beta and the variation of positron number density have remarkable effects on the propagation of magnetosonic solitary and shock waves.

Copyright

Corresponding author

Email address for correspondence: ylwang@ustb.edu.cn

References

Hide All
Akbari-Moghanjoughi, M. 2011 Remarkable paramagnetic features of Fermi–Dirac–Pauli plasmas. Phys. Plasmas 18, 072702.
Akbari-Moghanjoughi, M. & Ghorbanalilu, M. 2015 Energy exchange in strongly coupled plasmas with electron drift. Phys. Plasmas 22, 112111.
Ali, S., Moslem, W. M., Shukla, P. K. & Schlickeiser, R. 2007 Linear and nonlinear ion-acoustic waves in an unmagnetized electron–positron–ion quantum plasma. Phys. Plasmas 14, 082307.
Ali, S. & ur Rahman, Ata 2014 Solitons and shocks in dense astrophysical magnetoplasmas with relativistic degenerate electrons and positrons. Phys. Plasmas 21, 042116.
Berezhiani, V. I., Tsintsadze, L. N. & Shukla, P. K. 1992 Influence of electron-positron pairs on the wakefields in plasmas. Phys. Scr. 46, 5556.
Chandra, S. & Ghosh, B. 2012 Modulational instability of electron-acoustic waves in relativistically degenerate quantum plasma. Astrophys. Space Sci. 342, 417424.
Chatterjee, P., Ghosh, U. N., Roy, K., Muniandy, S. V., Wong, C. S. & Sahu, B. 2010 Head-on collision of ion acoustic solitary waves in an electron-positron-ion plasma with superthermal electrons. Phys. Plasmas 17, 122314.
Daniel, J. & Tajima, T. 1998 Outbursts from a black hole via alfvén wave to electromagnetic wave mode conversion. Astrophys. J. 498, 296306.
El-Awady, E. I., El-Tantawy, S. A., Moslem, W. M. & Shukla, P. K. 2010 Electron–positron–ion plasma with kappa distribution: ion acoustic soliton propagation. Phys. Lett. A 374, 32163219.
El-Labany, S. K., El-Taibany, W. F., El-Samahy, A. E., Hafez, A. M. & Atteya, A. 2014 Higher-order corrections to nonlinear dust-ion-acoustic shock waves in a degenerate dense space plasma. Astrophys. Space Sci. 354, 385393.
Ghosh, S., Chakrabarti, N. & Shukla, P. K. 2012 Linear and nonlinear electrostatic modes in a strongly coupled quantum plasma. Phys. Plasmas 19, 072123.
Ghosh, S., Gupta, M. R., Chakrabarti, N. & Chaudhuri, M. 2011 Nonlinear wave propagation in a strongly coupled collisional dusty plasma. Phys. Rev. E 83, 066406.
Gozadinos, G., Ivlev, A. V. & Boeuf, J. P. 2003 A fluid model for colloidal plasmas under microgravity conditions. New J. Phys. 5, 32.132.9.
Haas, F. 2005 A magnetohydrodynamic model for quantum plasmas. Phys. Plasmas 12, 062117.
Haas, F. & Mahmood, S. 2015 Linear and nonlinear ion-acoustic waves in nonrelativistic quantum plasmas with arbitrary degeneracy. Phys. Rev. E 92, 053112.
Han, J., He, L., Yang, N., Han, Z. & Wang, X. 2011 Ion-acoustic shock waves and their head-on collision in a dense electron-positron-ion quantum plasma. Phys. Lett. A 375, 37943800.
Ikezi, H. 1986 Coulomb solid of small particles in plasmas. Phys. Fluids 29, 17641766.
Irfan, M., Ali, S. & Mirza, A. M. 2014 Dust-acoustic solitary and rogue waves in a Thomas–Fermi degenerate dusty plasma. Astrophys. Space Sci. 353, 515523.
Janaki, M. S., Dasgupta, B., Gupta, M. R. & Som, B. K. 1992 Solitary magnetosonic waves with landau damping. Phys. Scr. 45, 368372.
Kakati, H. & Goswami, K. S. 1998 Solitary alfvén wave in an electron positron ion plasma. Phys. Plasmas 5, 42294234.
Kaw, P. K. & Sen, A. 1998 Low frequency modes in strongly coupled dusty plasmas. Phys. Plasmas 5, 35523559.
Malfliet, W. 2004 The $\tanh$ method: a tool for solving certain classes of nonlinear evolution and wave equations. J. Comput. Appl. Math. 164–165, 529541.
Marklund, M. & Brodin, G. 2007 Dynamics of spin- $1/2$ quantum plasmas. Phys. Rev. Lett. 98, 025001.
Marklund, M., Eliasson, B. & Shukla, P. K. 2007 Magnetosonic solitons in a fermionic quantum plasma. Phys. Rev. E 76, 067401.
Maroof, R., Mushtaq, A. & Qamar, A. 2016 Quantum dust magnetosonic waves with spin and exchange correlation effects. Phys. Plasmas 23, 013704.
Masood, W., Jehan, N. & Mirza, A. M. 2010 A new equation in two dimensional fast magnetoacoustic shock waves in electron-positron-ion plasmas. Phys. Plasmas 17, 032314.
Max, C. & Perkins, F. 1972 Instability of a relativistically strong electromagnetic wave of circular polarization. Phys. Rev. Lett. 29, 17311734.
Michel, F. C. 1982 Theory of pulsar magnetospheres. Rev. Mod. Phys. 54, 166.
Misra, A. P. & Shukla, P. K. 2008 Modulational instability of magnetosonic waves in a spin $1/2$ quantum plasma. Phys. Plasmas 15, 052105.
Misra, A. P. & Shukla, P. K. 2012 Stability and evolution of wave packets in strongly coupled degenerate plasmas. Phys. Rev. E 85, 026409.
Mushtaq, A., Maroof, R., Ahmad, Z. & Qamar, A. 2012 Magnetohydrodynamic spin waves in degenerate electron-positron-ion plasmas. Phys. Plasmas 19, 052101.
Mushtaq, A. & Qamar, A. 2009 Parametric studies of nonlinear magnetosonic waves in two-dimensional quantum magnetoplasmas. Phys. Plasmas 16, 022301.
Mushtaq, A. & Vladimirov, S. V. 2010 Fast and slow magnetosonic waves in two-dimensional spin- $1/2$ quantum plasma. Phys. Plasmas 17, 102310.
Mushtaq, A. & Vladimirov, S. V. 2011 Arbitrary magnetosonic solitary waves in spin $1/2$ degenerate quantum plasma. Eur. Phys. J. D 64, 419426.
Orosz, J. A., Remillard, R. A., Bailyn, C. D. & McClintock, J. E. 1997 An optical precursor to the recent $x$ -ray outburst of the black hole binary gro j1655-40. Astrophys. J. 478, L83L86.
Popel, S. I., Vladimirov, S. V. & Shukla, P. K. 1995 Ion-acoustic solitons in electron-positron-ion plasmas. Phys. Plasmas 2, 716719.
Roy, K., Misra, A. P. & Chatterjee, P. 2008 Ion-acoustic shocks in quantum electron-positron-ion plasmas. Phys. Plasmas 15, 032310.
Roy, N., Tasnim, S. & Mamun, A. A. 2012 Solitary waves and double layers in an ultra-relativistic degenerate dusty electron-positron-ion plasma. Phys. Plasmas 19, 033705.
Sabry, R., Moslem, W. M. & Shukla, P. K. 2009 Planar and nonplanar ion-acoustic envelope solitary waves in a very dense electron-positron-ion plasma. Eur. Phys. J. D 51, 233240.
Sabry, R., Moslem, W. M. & Shukla, P. K. 2012 Freak waves in white dwarfs and magnetars. Phys. Plasmas 19, 122903.
Saeed, R. & Shah, A. 2010 Nonlinear korteweg-de vries-burger equation for ion acoustic shock waves in a weakly relativistic electron-positron-ion plasma with thermal ions. Phys. Plasmas 17, 032308.
Saha, A. & Chatterjee, P. 2014 Bifurcations of electron acoustic traveling waves in an unmagnetized quantum plasma with cold and hot electrons. Astrophys. Space Sci. 349, 239244.
Sahu, B. & Ghosh, N. K. 2013 Kadomstev–Petviashvili solitons in quantum plasmas. Astrophys. Space Sci. 343, 289292.
Saleem, H., Haque, Q. & Vranješ, J. 2003 Nonlinear drift waves in electron-positron-ion plasmas. Phys. Rev. E 67, 057402.
Shukla, P. K. & Eliasson, B. 2011 Colloquium: nonlinear collective interactions in quantum plasmas with degenerate electron fluids. Rev. Mod. Phys. 83, 885906.
Shukla, P. K., Mamun, A. A. & Mendis, D. A. 2011 Nonlinear ion modes in a dense plasma with strongly coupled ions and degenerate electron fluids. Phys. Rev. E 84, 026405.
Ichimaru, S., Iyetomi, H. & Tanaka, S. 1987 Statistical physics of dense plasmas: thermodynamics, transport coefficients and dynamic correlations. Phys. Rep. 149, 91205.
Slattery, W. L., Doolen, G. D. & DeWitt, H. E. 1980 Improved equation of state for the classical one-component plasma. Phys. Rev. A 21, 20872095.
Tiwari, R. S. 2008 Ion-acoustic dressed solitons in electron-positron-ion plasmas. Phys. Lett. A 372, 34613466.
Veeresha, B. M., Tiwari, S. K., Sen, A., Kaw, P. K. & Das, A. 2010 Nonlinear wave propagation in strongly coupled dusty plasmas. Phys. Rev. E 81, 036407.
Wang, Y. & Eliasson, B. 2014 One-dimensional rarefactive solitons in electron-hole semiconductor plasmas. Phys. Rev. B 89, 205316.
Wang, Y., , X. & Eliasson, B. 2013a Modulational instability of spin modified quantum magnetosonic waves in fermi-dirac-pauli plasmas. Phys. Plasmas 20, 112115.
Wang, Y., Shukla, P. K. & Eliasson, B. 2013b Instability and dynamics of two nonlinearly coupled intense laser beams in a quantum plasma. Phys. Plasmas 20, 013103.
Wang, Y., Zhou, Z., Qiu, H., Wang, F. & Lu, Y. 2012 The quantum dusty magnetosonic solitary wave in magnetized plasma. Phys. Plasmas 19, 013704.
Yaroshenko, V. V., Verheest, F., Thomas, H. M. & Morfill, G. E. 2009 The bohm sheath criterion in strongly coupled complex plasmas. New J. Phys. 11, 073013.
MathJax
MathJax is a JavaScript display engine for mathematics. For more information see http://www.mathjax.org.

Nonlinear magnetosonic solitary and shock waves in strongly coupled quantum electron–positron–ion plasmas

  • Xiaodan Wang (a1), Yunliang Wang (a1), Tielu Liu (a1) and Fan Zhang (a1)

Metrics

Full text views

Total number of HTML views: 0
Total number of PDF views: 0 *
Loading metrics...

Abstract views

Total abstract views: 0 *
Loading metrics...

* Views captured on Cambridge Core between <date>. This data will be updated every 24 hours.

Usage data cannot currently be displayed