Generalized Theory of Thermal Fluctuations

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概要

• 論文の詳細を見る

• A general theory of thermal fluctuations, or Brownian motions, in a system in thermal equilibrium is developed on the basis of Gibbs's classical statistical mechanics. Taking advantage of the deterministic character of classical systems and applying fluctuation formula for a canonical ensemble, a formula for the cross-correlation function for two quantities u and X is given as [numerical formula] where y'(r) is the after-effect function for u responding to a unitfunction change of x, while X is the force associated with the generalized coordinate x. Thus the formula indicates the identity of the statistical after-effect to the dynamical after-effect. It may be shown to comprise virtually all the known results pertaining to thermal fiuctuation derivable from classical statistical mechanics. A generalization of Onsager's reciprocity relation to a system with after-effect is also obtained.

• 社団法人日本物理学会の論文
• 1952-10-25

著者

• Takahasi Hidetosi

  Department Of Physics Faculity Of Science University Of Tokyo

• Takahasi Hidetosi

  Department Of Physics University Of Tokyo

• TAKAHASI Hidetosi

  Department of Physics, University of Tokyo

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