Abstract
The problem of nonlinear positron-acoustic shock waves (PASWs) in an unmagnetized, collisionless, dense plasma system (containing non-relativistic cold positrons, both non-relativistic and ultra-relativistic degenerate electrons, and hot positron fluids and positively charged static ions) is addressed. The combined effects of the non-relativistic and ultra-relativistic degenerate electron and hot positron fluids are organized in the study of the PASWs. By using the reductive perturbation method, modified Burgers equation is derived and numerically analyzed. For the non-relativistic limits in like manner for the ultra-relativistic limits, it is seen that the shock wave characteristics are modified significantly. The effects of kinematic viscosity, degenerate pressure, nonplanar geometries, and plasma particle number densities on the properties of PASWs are numerically analyzed. As time goes, PASWs propagating in cylindrical and spherical geometry are deformed. The fundamental features and the underlying physics of PASWs, which are concerned to some astrophysical compact objects (viz. neutron stars, white dwarfs, etc.), are concisely mentioned.
Similar content being viewed by others
References
S.I. Popel, S.V. Vladimirov, P.K. Shukla, Phys. Plasmas. 2, 716 (1995)
B. Sahu, Phys. Scr. 82, 065504 (2010)
M. Tribeche, K. Aoutou, S. Younsi, R. Amour, Phys. Plasmas. 16, 072103 (2009)
Y.N. Nejoh, Phys. Scr. 49, 967 (1996)
M.R. Hossen, L. Nahar, S. Sultana, A.A. Mamun, Astrophys. Space. Sci. 353, 123 (2014)
M.R. Hossen, A.A. Mamun, Braz. J. Phys. 44, 673 (2014)
M.A. Hossen, M.R. Hossen, A.A. Mamun, Braz. J. Phys. 44, 703 (2014)
M. Tribeche, Phys. Plasmas. 17, 042110 (2010)
H. Alinejad, Astrophys. Space. Sci. 345, 85 (2014)
J.K. Chawla, M.K. Mishra, R.S. Tiwari, Astrophys. Space. Sci. 347, 283 (2013)
A.A. Mamun, P.K. Shukla, Phys. Lett. A. 374, 4238 (2010)
A.A. Mamun, P.K. Shukla, Phys. Plasmas. 17, 104504 (2010)
N. Roy, S. Tasnim, A.A. Mamun, Phys. Plasmas. 19, 033705 (2012)
Ata-ur-Rahman, S. Ali, M.A. Mirzad, et al., Phys. Plasmas 20, 042305 (2013)
S. Chandrasekhar, Philos. Mag. 11, 592 (1931)
S.L. Shapiro, S.A. Teukolsky. Black holes, white dwarfs and neutron stars: the physics of compact objects (Wiley, New York, 1983)
S. Chandrasekhar, Astrophys. J. 74, 81 (1931)
D. Koester, G. Chanmugam, Rep. Prog. Phys. 53, 837 (1990)
S. Chandrasekhar, Mon. Not. R. Astron. Soc. 170, 226 (1935)
S. Chandrasekhar. An introduction to the study of stellar structure (Dover Publications, 1939)
M.R. Hossen, L. Nahar, S. Sultana, A.A. Mamun, High Energ. Density Phys. 13, 13 (2014)
M.R. Hossen, L. Nahar, A.A. Mamun, Phys. Scr. 89, 105603 (2014)
M.R. Hossen, L. Nahar, A.A. Mamun, Braz. J. Phys. 44, 638 (2014)
M.R. Hossen, L. Nahar, A.A. Mamun, J. Astrophys. 2014, 653065 (2014)
I. Zeba, W.M. Moslem, P.K. Shukla, Astrophys. J. 750, 72 (2012)
A.A. Mamun, P.K. Shukla, Europhys. Lett. 94, 65002 (2011)
M.M. Hossain, A.A. Mamun, K.S. Ashrafi, Phys. Plasmas. 18, 103704 (2011)
T. Akhter, M.M. Hossain, A.A. Mamun, Commu. Theor. Phys. 59, 745 (2013)
B. Eliasson, P.K. Shukla, Europhys. Lett. 97, 15001 (2012)
S. Asif Shah, Q. Mahmood, Haque. Phys. Plasmas. 18, 114501 (2011)
W. Masood, M.A. Mirza, M. Hanif, Phys. Plasmas. 15, 072106 (2008)
M.S. Zobaer, N. Roy, A.A. Mamun, J. Plasma. Phys. 79, 65 (2013)
N. Roy, M.S. Zobaer, A.A. Mamun, J. Mod. Phys. 3, 850 (2012)
M.S. Zobaer, N. Roy, A.A. Mamun, Astrophys. Space Sci. 343, 675 (2013)
S. Maxon, J. Viecelli, Phys. Rev. Lett. 32, 4 (1974)
M.R. Hossen. Nonlinear excitations in degenerate quantum plasmas (Lap-lambert Publishing, Germany, 2014). ISBN-10:3659597392
E.F. El-Shamy, W.F. El-Taibany, E.K. El-Shewy, et al., Astrophys. Space. Sci. 338, 279 (2012)
F.C. Michel. Theory of neutron star magnetosphere (Chicago University Press, Chicago, 1991)
F.C. Michel, s1 Theory of pulsar magnetospheres. Rev. Mod. Phys. 54, 1 (1982)
H.R. Miller, P.J. Wiita. Active galactic nuclei (Springer, Berlin, 1987)
M.L. Burns, A.K. Harding, R. Ramaty. Positron-electron pairs in astrophysics (American Institute of Physics, Melville, New York, 1983)
M.J. Rees, Nature. 229, 312 (1971)
D.J. Wineland, C.S. Weimer, J.J. Bollinger, Hyperfine Interact. 76, 115 (1993)
S.S. Bulanov, A.M. Fedotov, F. Pegoraro, Phys. Rev. E. 71, 016404 (2005)
C.M. Surko, M. Leventhal, A. Passner, Phys. Rev. Lett. 62, 901 (1989)
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Shah, M.G., Hossen, M.R. & Mamun, A.A. Nonplanar Positron-Acoustic Shock Waves in Astrophysical Plasmas. Braz J Phys 45, 219–224 (2015). https://doi.org/10.1007/s13538-015-0304-4
Received:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s13538-015-0304-4