Statistical-Mechanical Theory of Irreversible Processes.II. : Response to Thermal Disturbance

概要

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The possibility is examined to give rigorous expressions for kinetic coefficients such as heat conductivity, diffusion constant, thermoelectric power and so on which relate the flow of a certain kind to the generalized forces of thermal nature. We take here as the fundamental assumption Onsager's assumption that the average regression of spontaneous fluctuation of macroscopic variables follows the macroscopic physical laws. The kinetic coefficient G_<jι> appearing in the phenomenological equation, α^^・j=ΣG_<jι>(∂S/∂_<αl>) is shown then to be expressed as G_<jl>=(κβ)^<-1>∫^∞_0dτ∫^β_0<α^^・_ι(-ihλ)α^^・j(τ)>dλ where κ is the Boltzmann constant and β=1/κT. This is the same type of formula as we have for kinetic coefficients for mechanical disturbances (Kubo, J. Phys. Soc. 12 (1957) 570). The theory is illustrated for the example of electronic transport phenomena.
社団法人日本物理学会の論文
1957-11-05