著者

Ryogo Kubo Mario Yokota Sadao Nakajima

出版者

一般社団法人 日本物理学会

雑誌

Journal of the Physical Society of Japan (ISSN:00319015)

巻号頁・発行日

vol.12, no.11, pp.1203-1211, 1957-11-05 (Released:2007-06-01)

参考文献数

23

被引用文献数

573

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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 Gjl appearing in the phenomenological equation, \dotαj=∑Gjl(∂S⁄∂αl) is shown then to be expressed asGjl=(kβ)−1∫0∞dτ∫0β<\dotαl(−ihλ)\dotαj(τ)>dλwhere k is the Boltzmann constant and β=1⁄kT. 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.