Linear Response Theory Reformulated from the Chaotic Dynamics

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概要

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• Inadequacy of perturbation treatment in chaotic dynamics is pointed out, espe-cially for phase space distribution function. The coarse graining is introduced intophase space distribution function for describing macroscopic thermodynamic processas a necessary and inevitable procedure for the transitioxx from microscopic tomacroscopic levels. A concept of convergence in law is employed for coarse graining.Thus a new approach to the linear response theory is presented, which can remove thevarious difficulties in the conventional linear response theory. The derivation of thedistribution function in the sense of convergence i?a law is left open, but it is expectedthat the principal results such as fluctuation-dissipation theorem, Kubo formula forkinetic coefficient remain valid, provided that art appropriate interpretation is ap-plied. Furthermore the entroj>y is shown to increase and the susceptibility derived inthis theory is adiabatic susceptibility expected as a thermodyrtamic process. The present formulation will provide an answer to the critical discussion by van Kampen.tchaotic dynamics, Liouville equation, coarse graining, convergence in law, lj Green-Kubo formula, susceptibilities, entropy, fluctuation-dissipation theorem l

• 社団法人日本物理学会の論文
• 1989-09-15

著者

• Matsunaga Yasushi

  Department Of Applied Physics Waseda University

• Saito Nobuhiko

  Department Of Applied Physics School Of Science And Engineering Waseda University

• Saito Nobuhiko

  Department Of Applied Physics Faculty Of Sciencc And Engineering Waseda University

• Saito Nobuhiko

  Department Of Applied Physics And Science And Engineering Research Institute Waseda University

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