Hostname: page-component-586b7cd67f-t8hqh Total loading time: 0 Render date: 2024-11-29T13:58:25.769Z Has data issue: false hasContentIssue false

The thermodynamics of the Vlasov equilibria

Published online by Cambridge University Press:  13 March 2009

E. Minardi
Affiliation:
Istituto di Fisica del Plasma, Associazione CNR-Euratom, Via Bassini 15, 20133 Milano, Italy

Abstract

A statistical procedure is applied for constructing an entropy functional associated with a collective Vlasov equilibrium described by a given coarse-grained current and charge distribution. The functional is not at a maximum if the magnetic or electrostatic equilibrium is not unique. This property connects the principle of maximum entropy with bifurcation theory and marginal stability analysis.

Type
Research Article
Copyright
Copyright © Cambridge University Press 1985

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

Faber, V., White, A. B., Wing, G. M. 1982 J. Math. Phys. 23, 1524.Google Scholar
Fowler, T. K. 1968 Advances in Plasma Physics (ed. Simon, A. & Thompson, W. B.), vol. 1, p. 201. Interscience.Google Scholar
Goursat, E. 1964 Course of Mathematical Analysis, vol. 3. Dover.Google Scholar
Kruskal, M. D. & Oberman, C. R. 1958 Phys. Fluids, 1, 275.Google Scholar
Lemons, D. S. & Winske, D. 1980 J. Plasma Phys. 23, 283.Google Scholar
Minardi, E. 1965 Physica, 31, 585.CrossRefGoogle Scholar
Minardi, E. 1981 J. Plasma Phys. 25, 413.Google Scholar
Minardi, E. 1983 Mirror Based and Reversed Field Approaches to Thermonuclear Fusion. School and Workshop, Varenna, EUR 8961-EN.Google Scholar
Reiman, A. 1980 Phys. Fluids, 23, 230.CrossRefGoogle Scholar