学術雑誌論文 Information geometrical characterization of the Onsager-Machlup process

Tanaka, Shigenori

689pp.152 - 155 , 2017-12-01 , Elsevier B.V.
ISSN:0009261418734448
内容記述
The Onsager-Machlup (OM) relaxation process, which provides a prototypical example of linear nonequilibrium thermodynamics, is characterized in terms of information geometry over the two-dimensional temperature-time parameter space. After deriving the probability distribution function for the OM process under the harmonic potential within a theoretical framework based on a transformation into imaginary-time quantum mechanics, the Fisher information metric is explicitly obtained. Differential geometry in the temperature-time space then gives the scalar curvature R = -1, thus specifying the OM process in a topological manner.
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http://www.lib.kobe-u.ac.jp/repository/90004502.pdf

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