基于不精确微分1-形式的广义Onstager通量

IF 4.3 3区 工程技术 Q1 MECHANICS Journal of Non-Equilibrium Thermodynamics Pub Date : 2023-03-06 DOI:10.1515/jnet-2022-0094
Qiang Yang, K. Leng, Man Zhang, Yaoru Liu
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引用次数: 0

摘要

D.G.B. Edelen提出的Onsager通量假设相同的对称性,即非线性Onsager互反关系,在接近和远离平衡状态时都成立。这个假设导致处处都有精确的微分1-form J·dX,其中J和X分别是热力学通量和力。然而,远离平衡的热力学通量具有对称性破缺的特征,这导致了不精确的微分1-形式。本文证明了非精确微分1型J·dX应由多个独立的标值函数表示。基于这种表示,得到了广义的Onsager通量。广义Onsager通量不满足非线性Onsager互反关系,包含多个独立的标值函数,适用于非平衡态热力学通量。广义Onsager通量作为一种特殊情况体现了Onsager通量。因此,广义Onsager通量为接近和远离平衡的热力学通量提供了一个统一的框架。
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Generalized Onsager fluxes based on inexact differential 1-form
Abstract Onsager fluxes proposed by D.G.B. Edelen assume that the same symmetry, nonlinear Onsager reciprocal relations, holds near and far from equilibrium. This assumption leads to exact differential 1-form J ⋅ dX everywhere, where J and X are thermodynamic fluxes and forces, respectively. However, thermodynamic fluxes far from equilibrium are characterized by symmetry breaking, which lead to the inexact differential 1-form. It is shown in this paper that the inexact differential 1-form J ⋅ dX should be represented by multiple independent scalar-valued functions. Generalized Onsager fluxes are obtained based on such representation. Generalized Onsager fluxes do not satisfy the nonlinear Onsager reciprocal relations and contain multiple independent scalar-valued functions, so they are suitable to thermodynamic fluxes far from equilibrium. Generalized Onsager fluxes embody Onsager fluxes as a special case. Therefore, generalized Onsager fluxes provide a unified framework for thermodynamic fluxes near and far from equilibrium.
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来源期刊
CiteScore
9.10
自引率
18.20%
发文量
31
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.
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