Hostname: page-component-cd9895bd7-lnqnp Total loading time: 0 Render date: 2024-12-26T04:23:10.597Z Has data issue: false hasContentIssue false
  • English
  • Français

A new collisional relaxation model for small deviations from equilibrium

Published online by Cambridge University Press:  13 March 2009

Peter Stubbe
Peter Stubbe
Affiliation:
Max-Planck-Institut für Aeronomie, 3411 Katlenburg-Lindau, FRG
Get access Rights & Permissions [Opens in a new window]

Abstract

A new collisional relaxation model, applicable to small deviations from equilibrium, is established. In distinction from previous models, the new model involves three different collision frequencies for momentum transfer, energy transfer and randomization, extends the relaxation function to include the full pressure tensor rather than only its trace, and describes relaxation to individual rather than composite Maxwellian distributions. The new model is deduced in §2, and the final result is represented by equations (28) to (31). Simplified versions of the model are given in §3, and all relevant collision frequencies are quantitatively specified there. In §4, the model is applied to the kinetic theory of waves in a magnetized two-component plasma. As a particular example, magnetosonic waves are discussed for the sake of demonstrating a wave damping mechanism due to incomplete collisional activation of translatorial degrees of freedom.

Type
Research Article
Information
Journal of Plasma Physics , Volume 38 , Issue 1 , August 1987 , pp. 95 - 116
Copyright
Copyright © Cambridge University Press 1987

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

REFERENCES

Bhatnagar, P. L., Gross, E. P. & Krook, M. 1954 Phys. Rev. 94, 511.CrossRefGoogle Scholar
Burgers, J. M. 1969 Flow Equations for Composite Gases. Academic.Google Scholar
Chapman, S. & Cowling, T. G. 1970 The Mathematical Theory of Non-uniform Gases. Cambridge University Press.Google Scholar
Clemmow, P. C. & Dougherty, J. P. 1969 Electrodynamics of Particles and Plasmas. Addison-Wesley.Google Scholar
Gross, E. P. & Krook, M. 1956 Phys. Rev. 102, 593.CrossRefGoogle Scholar
Heitowit, E. D. & Liboff, R. L. 1973 Phys. Fluids, 16, 1446.CrossRefGoogle Scholar
Mintzer, D. 1965 Phys. Fluids, 8, 1076.CrossRefGoogle Scholar
Morse, T. F. 1964 Phys. Fluids, 7, 2012.CrossRefGoogle Scholar
Phelps, A. V. & Pack, J. L. 1959 Phys. Rev. Lett. 3, 340.CrossRefGoogle Scholar
Prasad, S. S. & Furman, D. R. 1973 J. Geophys. Res. 78, 6701.CrossRefGoogle Scholar
Schunk, R. W. 1977 Rev. Geophys. Space Phys. 15, 429.CrossRefGoogle Scholar
Stix, T. H. 1962 The Theory of Plasma Waves. McGraw-Hill.Google Scholar
Stringer, T. E. & Connor, J. W. 1971 Phys. Fluids, 14, 2177.CrossRefGoogle Scholar
Stubbe, P. 1968 J. Atmos. Terr. Phys. 30, 1965.CrossRefGoogle Scholar
Stubbe, P. & Varnum, W. S. 1972 Planet. Space Sci. 20, 1121.CrossRefGoogle Scholar
Watson, G. N. 1966 Theory of Bessel Functions. Cambridge University Press.Google Scholar