Hostname: page-component-586b7cd67f-g8jcs Total loading time: 0 Render date: 2024-11-29T14:26:23.835Z Has data issue: false hasContentIssue false
  • English
  • Français

Kinetic treatment of gravitational-Coulomb coupling in the Jeans model

Published online by Cambridge University Press:  01 August 2008

A. I. ERSHKOVICH  and
P. L. ISRAELEVICH
A. I. ERSHKOVICH
Affiliation:
Department of Geophysics and Planetary Sciences, Sackler Faculty of Exact Sciences, Tel Aviv University, Ramat Aviv, 69978 Tel Aviv, Israel ([email protected])
P. L. ISRAELEVICH
Affiliation:
Department of Geophysics and Planetary Sciences, Sackler Faculty of Exact Sciences, Tel Aviv University, Ramat Aviv, 69978 Tel Aviv, Israel ([email protected])
Get access Rights & Permissions [Opens in a new window]

Abstract

The conventional Jeans model is modified by the addition of electric charging. The standard procedure of kinetic treatment results in a dispersion relation which describes both the Jeans instability and Langmuir oscillations, with the analog of Landau damping. Coulomb interactions tend to stabilize the Jeans instability diminishing the growth rate whereas the gravitational field tends to destabilize Langmuir oscillations. Collisions between particles are taken into account.

Type
Papers
Information
Journal of Plasma Physics , Volume 74 , Issue 4 , August 2008 , pp. 515 - 518
Copyright
Copyright © Cambridge University Press 2007

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

[1]Jeans, J. H. 1902 Philos. Trans. R. Soc. London, Ser. A 199, 1.Google Scholar
[2]Alfven, H. and Mendis, D. A. 1983 Adv. Space Res. 3, 95.CrossRefGoogle Scholar
[3]Pandey, B. P., Avinash, K. and Dwivedi, C. B. 1994 Phys. Rev. E 49, 5599.Google Scholar
[4]Avinash, K. and Shukla, P. K. 1994 Phys. Lett. A 189, 470.CrossRefGoogle Scholar
[5]Binney, J. and Tremaine, S. 1987 Galactic Dynamics. Princeton, NJ: Princeton University Press.Google Scholar
[6]Trigger, S. A., Ershkovich, A. I., van Heijst, G. J. F. and Schram, P. P. J. M. 2004 Phys. Rev. E 69, 066403.Google Scholar
[7]Bhatnagar, P. L., Gross, E. P. and Krook, M. 1954 Phys. Rev. 94, 511.CrossRefGoogle Scholar
[8]Stenflo, L. and Tsytovich, V. N. 1994 Comme Plasma Phys. Control. Fusion 16, 105.Google Scholar
[9]Shukla, P. K. and Stenflo, L. 2006 Phys. Lett. A 355, 378.CrossRefGoogle Scholar