The Fluctuation Theorem and Green-Kubo Relations

Details The Fluctuation Theorem and Green-Kubo Relations The Fluctuation Theorem and Green-Kubo Relations

1999-02-01

arxiv.org/abs/cond-mat/9902021v2

Physics

Condensed Matter

Statistical Mechanics

32 pages, inc. 6 figures Discussion and notation improved

Scientific paper

10.1063/1.481610

Green-Kubo and Einstein expressions for the transport coefficients of a fluid in a nonequilibrium steady state can be derived using the Fluctuation Theorem and by assuming the probability distribution of the time-averaged dissipative flux is Gaussian. These expressions are consistent with those obtained using linear response theory and are valid in the linear regime. It is shown that these expressions are however, not valid in the nonlinear regime where the fluid is driven far from equilibrium. We advance an argument for why these expression are only valid in the linear response, zero field limit.

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