On Extensive Properties of Probability Distribution Functions in Non-Equilibrium States
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概要
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The extensive property of the logarithm of probability distribution function on macrovariables in the states far from thermal equilibrium is investigated with the aid of a cumulant-correlation function method. If the correlation lengths among physical quantities in space-time in an initial state are of short range, then it is shown that the correlation lengths in space-time remain to be of short range under a finite order perturbation of an external field. The extensive properties of the logarithms of the probability distribution functions of general types of macrovariable are found if the state observed can be reached by a finite order perturbation. At a critical point ( , line or domain) our analysis cannot be applied. The asymptotic evaluation of the probability distribution functions of macrovariables in nonequilibrium state is thus shown. The applications are discussed. The logarithm of the probability distribution function of the time rate of change in the quantity conjugate to the external field in a steady state leads to the generalization of Onsager's potential. Some remarks on the variational principles are presented.
- 一般社団法人日本物理学会の論文
- 1975-08-25
著者
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Furukawa H
Kyoto Univ. Kyoto
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Furukawa Hiroshi
Department Of Applied Chemistry Faculty Of Engineering Nagasaki University
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