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Onsager reciprocity in the nonlinear regime

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  • Nettleton, R.E.

Abstract

A system is assumed, in the framework of extended non-equilibrium thermodynamics, to be described by state variables αi which are ensemble averages of dynamical functions, Ai, and their time-derivatives ηi = \̊gai. A Fokker-Planck type equation is derived by the Zwanzig projection operator technique for g(a, v), the amplitude of the probability that A = a and Å = v. The first moments of this equation give the phenomenological equations which can be cast in Onsager-Casimir canonical form, with forces and coefficients exhibiting reciprocity and non-linear in both α- and η-variables. It is necessary to assume that g is sharply peaked in equilibrium and that a Markovian approximation holds for the particular sets of variables and time-scale chosen. The arguments are illustrated by applying them to heat conduction in a liquid or solid.

Suggested Citation

  • Nettleton, R.E., 1985. "Onsager reciprocity in the nonlinear regime," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 132(1), pages 143-163.
    • Handle: RePEc:eee:phsmap:v:132:y:1985:i:1:p:143-163
    DOI: 10.1016/0378-4371(85)90121-9
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