Statistical-Mechanical Theory of Irreversible Processes. I. General Theory and Simple Applications to Magnetic and Conduction Problems

書誌事項

タイトル別名
  • Statistical-Mechanical Theory of Irreversible Processes. I
  • Statistical-mechanical theory of irreversible process. I. General theory and simple applications to magnetic and conduction problems
  • Statistical mechanical theory of irreversible processes. 1. General theory and simple applications in magnetic and conduction problems
  • General Theory and Simple Applications to Magnetic and Conduction Problems
公開日
1957
DOI
  • 10.1143/jpsj.12.570
公開者
一般社団法人 日本物理学会

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説明

A general type of fluctuation-dissipation theorem is discussed to show that the physical quantities such as complex susceptibility of magnetic or electric polarization and complex conductivity for electric conduction are rigorously expressed in terms of time-fluctuation of dynamical variables associated with such irreversible processes. This is a generalization of statistical mechanics which affords exact formulation as the basis of calculation of such irreversible quantities from atomistic theory. The general formalism of this statistical-mechanical theory is examined in detail. The response, relaxation, and correlation functions are defined in quantummechanical way and their relations are investigated. The formalism is illustrated by simple examples of magnetic and conduction problems. Certain sum rules are discussed for these examples. Finally it is pointed out that this theory may be looked as a generalization of the Einstein relation.

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