The Onsager–Machlup theory of fluctuations and time-dependent generalized normal distribution

IF 4.3 3区工程技术 Q1 MECHANICS

Journal of Non-Equilibrium Thermodynamics Pub Date : 2023-01-05 DOI:10.1515/jnet-2022-0071

S. I. Serdyukov

引用次数: 0

Abstract

Abstract Generalization of the variational formulation of the Onsager–Machlup thermodynamic theory of fluctuation is considered. Within the framework of variational theory, we introduce the time-dependent generalized normal distribution and Hamilton–Jacobi equation. The family of higher-order partial differential equations, which generalize classical Fokker–Planck equation, is considered. It is shown that proposed theory can be used for describing anomalous diffusion.

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Onsager–Machlup涨落理论与含时广义正态分布

摘要考虑了Onsager–Machlup涨落热力学理论变分公式的推广。在变分理论的框架内，我们引入了含时广义正态分布和Hamilton–Jacobi方程。研究了高阶偏微分方程族，它推广了经典的Fokker–Planck方程。结果表明，该理论可用于描述异常扩散。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Journal of Non-Equilibrium Thermodynamics 物理-力学

CiteScore

9.10

自引率

18.20%

发文量

审稿时长

1 months

期刊介绍： The Journal of Non-Equilibrium Thermodynamics serves as an international publication organ for new ideas, insights and results on non-equilibrium phenomena in science, engineering and related natural systems. The central aim of the journal is to provide a bridge between science and engineering and to promote scientific exchange on a) newly observed non-equilibrium phenomena, b) analytic or numeric modeling for their interpretation, c) vanguard methods to describe non-equilibrium phenomena. Contributions should – among others – present novel approaches to analyzing, modeling and optimizing processes of engineering relevance such as transport processes of mass, momentum and energy, separation of fluid phases, reproduction of living cells, or energy conversion. The journal is particularly interested in contributions which add to the basic understanding of non-equilibrium phenomena in science and engineering, with systems of interest ranging from the macro- to the nano-level. The Journal of Non-Equilibrium Thermodynamics　has recently expanded its scope to place new emphasis on theoretical and experimental investigations of non-equilibrium phenomena in thermophysical, chemical, biochemical and abstract model systems of engineering relevance. We are therefore pleased to invite submissions which present newly observed non-equilibrium phenomena, analytic or fuzzy models for their interpretation, or new methods for their description.