Skip to main content
SpringerLink
Log in

Propagation of arbitrary-amplitude ion waves in relativistically degenerate electron-ion plasmas

  • Original Article
  • Published:
Astrophysics and Space Science Aims and scope Submit manuscript

Abstract

We employ the Sagdeev pseudo-potential method to investigate the propagation of nonlinear ion waves in a relativistically degenerate electron-ion plasmas. The matching criteria for existence of such nonlinear excitations are numerically investigated in terms of the relativity measure (relativistic degeneracy parameter) of electrons and the allowed Mach-number range for propagation of such waves is evaluated. It is shown that the electron relativistic degeneracy parameter has significant effects on nonlinear wave dynamics in superdense degenerate plasmas such as that encountered in white dwarfs and the cores of massive planets.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  • Abdelsalam, U.M., Muslem, W.M., Shukla, P.K.: Phys. Lett. A 372, 4057 (2008)

    Article  ADS  MATH  Google Scholar 

  • Akbari-Moghanjoughi, M.: Phys. Plasmas 17, 052302 (2010)

    Article  ADS  Google Scholar 

  • Akbari-Moghanjoughi, M.: Phys. Plasmas 17, 072101 (2010)

    Article  ADS  Google Scholar 

  • Akbari-Moghanjoughi, M.: Phys. Plasmas, 17 092304 (2010)

    Article  ADS  Google Scholar 

  • Akbari-Moghanjoughi, M.: Comment on article ‘The effects of Bohm potential on ion-acoustic solitary waves interaction in a nonplanar quantum plasma’, Phys. Plasmas (to be published)

  • Bonitz, M., Semkat, D., Filinov, A., Golubnychyi, V., Kremp, D., Gericke, D.O., Murillo, M.S., Filinov, V., Fortov, V., Hoyer, W.: J. Phys. A 36, 5921 (2003)

    Article  ADS  Google Scholar 

  • Chandrasekhar, S.: An Introduction to the Study of Stellar Structure. The University of Chicago Press, Chicago (1939). pp. 360–362

    Google Scholar 

  • Chandrasekhar, S.: Science 226, 4674 (1984)

    Article  Google Scholar 

  • Chatterjee, P., Roy, K., Muniandy, S.V., Wong, C.S.: Phys. Plasmas 16, 112106 (2009)

    Article  ADS  Google Scholar 

  • Goldreich, P., Julian, W.H.: Astrophys. J. 157, 869 (1969)

    Article  ADS  Google Scholar 

  • Greeves, R.G., Surko, C.M.: Phys. Rev. Lett. 75, 3846 (1995)

    Article  ADS  Google Scholar 

  • Haug, H., Koch, S.W.: Quantum theory of the optical and electronic properties of semiconductors. Singapore, World Scientific (2004)

    Google Scholar 

  • Mamun, A.A., Shukla, P.K.: Phys. Lett. A 374, 4238 (2010)

    Article  ADS  Google Scholar 

  • Michel, F.C.: Rev. Mod. Phys. 54, 1 (1982)

    Article  ADS  Google Scholar 

  • Miller, H.R., Witta, P.J.: Active Galetic Nuclei. Springer, Berlin (1987). p. 202

    Google Scholar 

  • Misner, W., Throne, K.S., Wheeler, J.A.: Gravitation. Freeman, San Francisco (1973). p. 763

    Google Scholar 

  • Misra, A.P., Ghosh, N.K., Bhowmik, C.: Eur. Phys. J. D 49, 373 (2008)

    Article  ADS  Google Scholar 

  • Misra, A.P., Shukla, P.K., Bhowmik, C.: Phys. Plasmas 14, 082309 (2007)

    Article  ADS  Google Scholar 

  • Rees, M.J.: in: Gibbons, G.B., Hawking, S.W., Siklas, S. (eds.) The Very Early Universe, Cambridge Univ. Press, Cambridge (1983)

    Google Scholar 

  • Sabry, R., Moslem, W.M., Haas, F., Ali, S., Shukla, P.K.: Phys. Plasmas 15, 122308 (2008)

    Article  ADS  Google Scholar 

  • Shapiro, S.L., Teukolsky, S.A.: Black Holes White Dwarfs and Neutron Stars. Wiley, New York (1983)

    Book  Google Scholar 

  • Shukla, P.K., Eliasson, B.: Phys. Usp. 51, 53 (2010)

    Google Scholar 

  • Son, S., Fisch, N.J.: Phys. Lett. A 329, 76 (2004)

    Article  MATH  ADS  Google Scholar 

  • Son, S., Fisch, N.J.: Phys. Rev. Lett. 95, 225002 (2005)

    Article  ADS  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Azarbaijan University of Tarbiat Moallem, Faculty of Sciences, Department of Physics, 51745-406, Tabriz, Iran

    M. Akbari-Moghanjoughi

Authors
  1. M. Akbari-Moghanjoughi
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to M. Akbari-Moghanjoughi.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Akbari-Moghanjoughi, M. Propagation of arbitrary-amplitude ion waves in relativistically degenerate electron-ion plasmas. Astrophys Space Sci 332, 187–192 (2011). https://doi.org/10.1007/s10509-010-0499-3

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s10509-010-0499-3

Keywords

Search

Navigation