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Statistical mechanics of transport coefficients

Published online by Cambridge University Press:  13 March 2009

G. Vasu
G. Vasu
Affiliation:
Faculté des Sciences, Université Libre de Bruxelles, Association Euratom-Etat Belge, 1050 Bruxelles, Belgium
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Abstract

The problem of transport coefficients in statistical mechanics is reconsidered. A general method is given by which the hydrodynamical equations can straightforwardly obtained starting from the kinetic equation for the one-particle distribution function. From the statistical counterparts of the hydrodynamical equations so derived, the statistical expressions for the transport coefficients are immediately identified.

Linearized hydrodynamic modes have recently been the object of very thorough reserach from the viewpoint of irreversible statistical mechanics; in particular, the Brussels school formalism has been used by Résibois to derive the eigenfrequencies of the hydrodynamical modes, whereby operatorial equations for transport coefficients have been obtained (Résibois 1970; see also the instructive book by Balescu (1975) on this subject).

Type
Research Article
Information
Journal of Plasma Physics , Volume 16 , Issue 3 , December 1976 , pp. 289 - 297
Copyright
Copyright © Cambridge University Press 1976

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References

REFERENCES

Balescu, R. 1975 Equilibrium and Nonequilibrium Statistical Mechanics. Wiley.Google Scholar
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