Path-ensemble averages in systems driven far from equilibrium
- Department of Chemistry, University of California at Berkeley, Berkeley, California 94720 (United States)
The Kawasaki nonlinear response relation, the transient fluctuation theorem, and the Jarzynski nonequilibrium work relation are all expressions that describe the behavior of a system that has been driven from equilibrium by an external perturbation. In contrast to linear response theory, these expressions are exact no matter the strength of the perturbation, or how far the system has been driven away from equilibrium. In this paper, I show that these three relations (and several other closely related results) can all be considered special cases of a single theorem. This expression is explicitly derived for discrete time and space Markovian dynamics, with the additional assumptions that the unperturbed dynamics preserve the appropriate equilibrium ensemble, and that the energy of the system remains finite. (c) 2000 The American Physical Society.
- OSTI ID:
- 20215733
- Journal Information:
- Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics, Vol. 61, Issue 3; Other Information: PBD: Mar 2000; ISSN 1063-651X
- Country of Publication:
- United States
- Language:
- English
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