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An extension of the general variational principle of transport theory

Published online by Cambridge University Press:  24 October 2008

F. Garcia Moliner  and
S. Simons
F. Garcia Moliner
Affiliation:
Cavendish LaboratoryCambridge
S. Simons
Affiliation:
Cavendish LaboratoryCambridge
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Abstract

A variational principle is obtained for the Boltzmann transport equation in the presence of a magnetic field and modified by boundaries, when the standard formulation of Kohler breaks down because of the lack of microscopic reversibility. The connexion with entropy production is discussed.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 53 , Issue 4 , October 1957 , pp. 848 - 855
Copyright
Copyright © Cambridge Philosophical Society 1957

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References

REFERENCES

(1)Fieschi, R.Suppl. Nuovo Cim. 1 (1955), 1–47.CrossRefGoogle Scholar
(2)Kohler, M.Z. Phys. 124 (1948), 772–89.CrossRefGoogle Scholar
(3)Kohler, M.Z. Phys. 125 (1949), 679–93.CrossRefGoogle Scholar
(4)Leibfried, G. and Schlömann, E.Nachr. Akad. Wise. Gottingen, Math.-phys. Kl. IIα, 4 (1954), 71–93.Google Scholar
(5)Sondheimer, E. H.Proc. Roy. Soc. A, 203 (1950), 75–98.Google Scholar
(6)Wangsness, R. K.Phys. Rev. 101 (1956), 1–4.CrossRefGoogle Scholar
(7)Wangsness, R. K.Phys. Rev. 104 (1956), 857–66.CrossRefGoogle Scholar
(8)Wilson, A. H.The theory of metals (Cambridge, 1953), p. 193.Google Scholar
(9)Ziman, J. M.Canad. J. Phys. 34 (1956), 1256–73.CrossRefGoogle Scholar