论文标题

Onsager-Casimir互惠关系

Onsager-Casimir reciprocal relations

论文作者

Brechet, Sylvain D.

论文摘要

Onsager倒数关系是在不可逆过程的热力学的现象学框架内建立的。为此,按照平衡附近的第二定律的局部表达要求,与标量和矢量过程相关的耗散功率密度写为相应广义力的正二次二次形式。标量和矢量onsager矩阵的反对称部分并不有助于耗散,这产生了标量和矢量onsager onsager倒数关系。此外,在时间逆转下,广义标量和矢量力的阳性半明确二次形式是不变的,这产生了标量和矢量casimir-ossager互惠关系,这是Onsager choser chose互相关关系的概括。

The Onsager reciprocal relations are established within the phenomenological framework of the thermodynamics of irreversible processes. In order to do so, the dissipated power densities associated to scalar and vectorial processes are written as positive semi-definite quadratic forms of the corresponding generalised forces, as required by the local expression of the second law in the neighbourhood of the equilibrium. The antisymmetric part of the scalar and vectorial Onsager matrices do not contribute to the dissipation, which yields the scalar and vectorial Onsager reciprocal relations. Furthermore, the positive semi-definite quadratic forms of the generalised scalar and vectorial forces are invariant under time reversal, which yields the scalar and vectorial Casimir-Onsager reciprocal relations, that are a generalisation of the Onsager reciprocal relations.

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