Onsager-Casimir reciprocal relations as a consequence of the equivalence between irreversibility and dissipation

IF 4.3 3区 工程技术 Q1 MECHANICS Journal of Non-Equilibrium Thermodynamics Pub Date : 2023-12-14 DOI:10.1515/jnet-2023-0069
Václav Klika, Sylvain D. Bréchet
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Abstract

The equivalence between irreversibility and dissipation entails that the Onsager reciprocal relations hold unconditionally, requiring the part of the phenomenological matrix describing dissipative phenomena to be symmetric. The antisymmetric part of the phenomenological matrix corresponds to the Casimir’s variant of the reciprocal relations and describes reversible phenomena. Further, we discuss the relationship of the reversibility and entropy production, including the role of the level of description, and we use the chemotaxis as an illustrative example.
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作为不可逆和耗散之间等价关系的结果的昂萨格-卡西米尔互易关系
不可逆性和耗散之间的等价意味着Onsager互反关系无条件成立,这要求描述耗散现象的现象学矩阵部分是对称的。现象学矩阵的反对称部分对应于互反关系的卡西米尔变体,描述可逆现象。进一步,我们讨论了可逆性和熵产的关系,包括描述水平的作用,并以趋化性为例进行了说明。
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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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