Microscopic analysis of Clausius-Duhem processes

Details Microscopic analysis of Clausius-Duhem processes Microscopic analysis of Clausius-Duhem processes

1998-02-24

arxiv.org/abs/cond-mat/9802249v2

J.Stat.Phys. 96, 415 (1999)

Physics

Condensed Matter

Statistical Mechanics

12 pages + 1 figure; some new material added, but basic result unchanged

Scientific paper

Given a thermodynamic process which carries a system from one equilibrium state to another, we construct a quantity whose average, over an ensemble of microscopic realizations of the process, depends only on these end states, even if at intermediate times the system is out of equilibrium. This result: (1) can be used to express the entropy difference between two equilibrium states in terms of an irreversible process connecting them, (2) leads to two statistical statements of the Clausius-Duhem inequality, and (3) can be generalized to situations in which the system begins and/or ends in nonequilibrium states.

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