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The thermodynamics of the Vlasov equilibria

Published online by Cambridge University Press:  13 March 2009

E. Minardi
E. Minardi
Affiliation:
Istituto di Fisica del Plasma, Associazione CNR-Euratom, Via Bassini 15, 20133 Milano, Italy
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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
Information
Journal of Plasma Physics , Volume 33 , Issue 3 , June 1985 , pp. 359 - 367
Copyright
Copyright © Cambridge University Press 1985

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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