Multi-dimensional instability of electrostatic solitary waves in ultra-relativistic degenerate electron-positron-ion plasmas

• Authors: M. Masum Haider , Suraya Akter , Syed Duha , Abdullah Mamun
• Languages of publication: EN

Abstracts

EN

The basic features and multi-dimensional instability of electrostatic (EA) solitary waves propagating in an ultra-relativistic degenerate dense magnetized plasma (containing inertia-less electrons, inertia-less positrons, and inertial ions) have been theoretically investigated by reductive perturbation method and small-k perturbation expansion technique. The Zakharov-Kuznetsov (ZK) equation has been derived, and its numerical solutions for some special cases have been analyzed to identify the basic features (viz. amplitude, width, instability, etc.) of these electrostatic solitary structures. The implications of our results in some compact astrophysical objects, particularly white dwarfs and neutron stars, are briefly discussed.

Keywords

EN

electrostatic solitary waves; degenerate plasma; ultra-relativistic limits; Zakharov-Kuznetsov equation

• Publisher: De Gruyter Open
• Journal: Open Physics
• Year: 2012
• Volume: 10
• Issue: 5
• Pages: 1168-1177

Dates

published

1 - 10 - 2012

online

21 - 11 - 2012

Contributors

author

M. Masum Haider

author

Suraya Akter

author

Syed Duha

• Department of Physics, Jahangirnagar University, Savar, Dhaka, 1342, Bangladesh

author

Abdullah Mamun

• Department of Physics, Jahangirnagar University, Savar, Dhaka, 1342, Bangladesh

References

• [1] E. Garcia-Berro et al., Nature 465, 194 (2010) http://dx.doi.org/10.1038/nature09045[Crossref]
• [2] S.L. Shapiro, S.A. Teukolsky, Black holes, White dwarfs, and neutron Stars: The Physics of Compact objects (John Wiley and Sons, New York, 1983) http://dx.doi.org/10.1002/9783527617661[Crossref]
• [3] S. Balberg, S.L. Shapiro, arXiv:asto-ph/0004317
• [4] D. Koester, G. Chanmugam, Rep. Prog. Phys. 53 (1990)
• [5] S. Chandrasekhar, Mon. Not. R. Astron. Soc. 170, 405 (1935)
• [6] S. Chandrasekhar, Astrophys. J. 74, 81 (1931) http://dx.doi.org/10.1086/143324[Crossref]
• [7] S. Chandrasekhar, Phi. Mag. 11, 592 (1931)
• [8] L. Stenflo, P.K. Shukla, M. Marklund, Europhys. Lett. 74, 844 (2006) http://dx.doi.org/10.1209/epl/i2006-10032-x[Crossref]
• [9] P.K. Shukla, Phys. Lett. A 352, 242 (2006) http://dx.doi.org/10.1016/j.physleta.2005.11.065[Crossref]
• [10] P. K. Shukla, L. Stenflo, Phys. Lett. A 355, 378 (2006) http://dx.doi.org/10.1016/j.physleta.2006.02.054[Crossref]
• [11] D. Shaikh, P.K. Shukla, Phys. Rev. Lett. 99, 125002 (2007) http://dx.doi.org/10.1103/PhysRevLett.99.125002[Crossref]
• [12] G. Brodin, M. Marklund, New J. Phys. 9, 227 (2007) http://dx.doi.org/10.1088/1367-2630/9/8/277[Crossref]
• [13] P.K. Shukla, B. Eliasson, Phys. Rev. Lett. 96, 245001 (2006) http://dx.doi.org/10.1103/PhysRevLett.96.245001[Crossref]
• [14] P.K. Shukla, B. Eliasson, Phys. Rev. Lett. 99, 096401 (2007) http://dx.doi.org/10.1103/PhysRevLett.99.096401[Crossref]
• [15] D. Shaikh, P.K. Shukla, Phys. Rev. Lett. 99, 125002 (2007) http://dx.doi.org/10.1103/PhysRevLett.99.125002[Crossref]
• [16] G. Brodin, M. Marklund, New J. Phys. 9, 227 (2007) http://dx.doi.org/10.1088/1367-2630/9/8/277[Crossref]
• [17] G. Brodin, M. Marklund, Phys. Plasmas 14, 112107 (2007) http://dx.doi.org/10.1063/1.2793744[Crossref]
• [18] M. Marklund, G. Brodin, Phys. Rev. Lett. 98, 025001 (2007) http://dx.doi.org/10.1103/PhysRevLett.98.025001[Crossref]
• [19] P.K. Shukla, Nature Phys. 5, 92 (2009) http://dx.doi.org/10.1038/nphys1194[Crossref]
• [20] M. Marklund, B. Eiasson, P.K. Shukla, Phys. Rev. E 76, 067401 (2007) http://dx.doi.org/10.1103/PhysRevE.76.067401[Crossref]
• [21] W. Masood, B. Eiasson, P.K. Shukla, Phys. Rev. E 81, 066401 (2010) http://dx.doi.org/10.1103/PhysRevE.81.066401[Crossref]
• [22] P.K. Shukla, B. Eliasson, Phys. Usp. 53, 51 (2010) http://dx.doi.org/10.3367/UFNe.0180.201001b.0055[Crossref]
• [23] G. Manfredi, Fields Inst. Commun. 46, 263 (2005)
• [24] F. Hass, Phys. Plasmas 13, 042309 (2007) http://dx.doi.org/10.1063/1.2722271[Crossref]
• [25] A. Misra, S. Samanta, Phys. Plasmas 15, 123307 (2008)
• [26] A.A. Mamun, P.K. Shukla, Phys. Lett. A 324, 4238 (2010) http://dx.doi.org/10.1016/j.physleta.2010.08.038[Crossref]
• [27] A.A. Mamun, P.K. Shukla, Phys. Plasmas 17, 104 504 (2010)
• [28] P.K. Shukla, M.Y. Yu, J. Math. Phys. 19, 2506 (1978) http://dx.doi.org/10.1063/1.523632[Crossref]
• [29] L.C. Lee, J.R. Kan, Phys. Fluids 24, 430 (1981) http://dx.doi.org/10.1063/1.863389[Crossref]
• [30] V.E. Zakharov, E.A. Kuznetsov, Soviet Phys. JETP 39, 285 (1974)
• [31] V.I. Petviashvili, Sov. J. Plasma Phys. 1, 15 (1975)
• [32] E. Witt, W. Lotko, Phys. Fluids 26, 2176 (1983) http://dx.doi.org/10.1063/1.864400[Crossref]
• [33] G. Rowlands, J. Plasma Phys. 3, 567 (1969) http://dx.doi.org/10.1017/S0022377800004621[Crossref]
• [34] E. Infeld, J. Plasma Phys. 8, 105 (1972) http://dx.doi.org/10.1017/S0022377800006966[Crossref]
• [35] E. Infeld, J. Plasma Phys. 3, 171 (1985) http://dx.doi.org/10.1017/S0022377800002415[Crossref]
• [36] E. Infeld, G. Rowlands, J. Plasma Phys. 10, 293 (1973) http://dx.doi.org/10.1017/S0022377800007856[Crossref]
• [37] E.W. Laedke, K.H. Spatschek, J. Plasma Phys. 28, 469 (1982) http://dx.doi.org/10.1017/S0022377800000428[Crossref]
• [38] A.A. Mamun, R.A. Cairns, J. Plasma Phys. 56, 175 (1996) http://dx.doi.org/10.1017/S0022377800019164[Crossref]

Identifiers

DOI

10.2478/s11534-012-0085-0