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Ion-acoustic shock waves in a degenerate dense plasma

Published online by Cambridge University Press:  20 August 2012

M. S. ZOBAER
Affiliation:
Department of Physics, Jahangirnagar University, Savar, Dhaka-1342, Bangladesh (niparoybd@gmail.com)
N. ROY
Affiliation:
Department of Physics, Jahangirnagar University, Savar, Dhaka-1342, Bangladesh (niparoybd@gmail.com)
A. A. MAMUN
Affiliation:
Department of Physics, Jahangirnagar University, Savar, Dhaka-1342, Bangladesh (niparoybd@gmail.com)

Abstract

A theoretical investigation on the nonlinear propagation of ion-acoustic waves in a degenerate dense plasma has been made by employing the reductive perturbation method. The Burger's equation has been derived, and numerically analyzed. The basic features of electrostatic shock structures have been examined. It has been shown that the plasma system under consideration supports the propagation of electrostatic shock structures. The implications of our results (obtained from this investigation) in compact astrophysical objects have been briefly discussed.

Type
Papers
Copyright
Copyright © Cambridge University Press 2012

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References

Andrew, G. T., Kevin, E. S., William, I. M., Partridge, G. and Randall, G. H. 2001 Observation of Fermi pressure in a gas of trapped atoms. Report. Science 291 (5513), 25702572 (online).Google Scholar
Asenjo, F. A., Muñoz, V., Valdivia, J. A. and Hada, T. 2009 Phys. Plasmas 16, 122108.CrossRefGoogle Scholar
Asenjo, F. A., Muñoz, V., Valdivia, J. A. and Hahajan, S. M. 2011 Phys. Plasmas 18, 012107.CrossRefGoogle Scholar
Berro, E. G., Torres, S., Althaus, L. G., Renedo, I., Salaris, M. and Isern, J. 2010 Nature 465, 194.CrossRefGoogle Scholar
Carroll, B. W. and Ostlie, D. A. 2007 The Physics of Degenerate Matter An Introduction to Modern Astrophysics, 2nd edn. New York: Pearson Addison-Wesley.Google Scholar
Chandrasekhar, S. 1931a Phi. Mag. 11, 592CrossRefGoogle Scholar
Chandrasekhar, S. 1931b Astrophys. J. 74, 81.CrossRefGoogle Scholar
Chandrasekhar, S. 1935 Mon. Not. R. Astron. Soc. 170, 405.Google Scholar
Goldberg, H. S. and Scadron, M. D. 1987 Physics of Stellar Evolution and Cosmology. Boca Raton, FL: Taylor and Francis.Google Scholar
Hass, F. 2007 Phys. Plasmas 13, 042309.CrossRefGoogle Scholar
Hoyos, J., Reisenegger, A. and Valdivia, J. A. 2008 Astron. Astrophys. 287, 789.CrossRefGoogle Scholar
Koester, D. and Chanmugam, G. 1990 Rep. Prog. Phys. 53 837.CrossRefGoogle Scholar
Mamun, A. A. and Shukla, P. K. 2010a Phys. Lett. A 324, 4238.CrossRefGoogle Scholar
Mamun, A. A. and Shukla, P. K. 2010b Phys. Plasmas 17, 104504.CrossRefGoogle Scholar
Maxon, S. and Viecelli, J. 1974 Phys. Rev. Lett. 32, 4.CrossRefGoogle Scholar
Mazzali, P. A., Röpke, P. K., Benetti, S. and Hillebrandt, W. 2007 A common explosion mechanism for type Ia supernovae. Report. Science 315 825828. doi:10.1126/science.1136259.CrossRefGoogle ScholarPubMed
Michel, F. C. 1982 Rev. Mod. Phys. 54, 1.CrossRefGoogle Scholar
Miller, H. R. and Witta, P. J. 1987 Active Galactic Nuclei. New York: Springer.Google Scholar
Misra, A. P., Banerjee, S., Haas, F., Shukla, P. K. and Assis, L. P. G. 2010 Phys. Plasmas 17, 032307.CrossRefGoogle Scholar
Misra, A. and Samanta, S. 2008 Phys. Plasmas 15, 123307.Google Scholar
Rees, M. J. 1983 The Very Early Universe. Cambridge, UK: Cambridge University Press.Google Scholar
Roy, N., Tasnim, S. and Mamun, A. A. 2012 Phys. Plasmas 19, 033705.CrossRefGoogle Scholar
Shapiro, S. L. and Teukolsky, S. A. 1983 Black Holes, White Dwarfs and Neutron Stars: The Physics of Compact Objects. New York: John Wiley.CrossRefGoogle Scholar
Shukla, P. K. 1986 Phys. Rep. 138, 1.CrossRefGoogle Scholar
Silva, O. L., Bingham, R., Dawson, J. M., Mendonça, J. T. and Shukla, P. K. 1999 Phys. Rev. Lett. 83, 2703.CrossRefGoogle Scholar
Tandberg-Hansen, E. and Emslie, A. G. 1988 The Physics of Solar Flares. Cambridge, UK: Cambridge University Press.Google Scholar
Yu, M. Y., Shukla, P. K. and Stenflo, L. 1986 Astrophys. J. 309, L63.CrossRefGoogle Scholar