The approximate nature of the Onsager-Casimir reciprocal relations

U. Geigenmüller, U.M. Titulaer and B.U. Felderhof

Physica A: Statistical Mechanics and its Applications, 1983, vol. 119, issue 1, 53-66

Abstract: We study thermodynamic systems near equilibrium described by both slow and fast variables. A reduced relaxation matrix for the slow variables can be obtained from the full relaxation matrix by a systematic elimination of the fast variables. When the full relaxation matrix possesses Onsager-Casimir symmetry, the reduced matrix has contributions that violate this symmetry. For a sensible choice of the variables they are in general of second order in the time-scale ratio relative to the dominant terms. The occurrence of such a symmetry violation is demonstrated for a simple example. The symmetry violation is related to initial slip in the correlation functions on the reduced level of description. We discuss a way to salvage the Onsager-Casimir relations by an appropriate modification of the thermodynamic potential, or rather of an associated function similar to the Lagrangian in mechanics.

Date: 1983
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:119:y:1983:i:1:p:53-66

DOI: 10.1016/0378-4371(83)90145-0

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