Applications of reciprocity to non-linear extended thermodynamics kinetic equations

R.E. Nettleton

Physica A: Statistical Mechanics and its Applications, 1987, vol. 144, issue 1, 219-234

Abstract: Reciprocity relations and integrability conditions can be used in non-linear extended irreversible thermodynamics to calculate forces and phenomenological coefficients uniquely in terms of parameters in kinetic equations derived from a model. One assumes a set of n even variables αi and corresponding η = αi, with an equation from the model for ηi. η-independent thermodynamic forces terms are assumed known. Comparison of powers of η in the model equation with corresponding powers in the canonical Onsager-Casimir formalism yields equations to determine all quantities in the latter save the higher η-dependence of entropy which is affected by uncertainties in measurement. By introducing a phenomenological ansatz, one can relate these higher entropy terms to corresponding terms in the model equation. A numerical illustration is made for a relaxing scalar structural parameter appropriate to a simple liquid.

Date: 1987
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:144:y:1987:i:1:p:219-234

DOI: 10.1016/0378-4371(87)90155-5

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