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Chernyak V, Chertkov M, Jarzynski C. Dynamical generalization of nonequilibrium work relation. Phys Rev E Stat Nonlin Soft Matter Phys. 2005;71(2):025102doi: 10.1103/PhysRevE.71.025102.
Chernyak, V., Chertkov, M., & Jarzynski, C. (2005). Dynamical generalization of nonequilibrium work relation. Physical review. E, Statistical, nonlinear, and soft matter physics, 71(2), 025102. https://doi.org/10.1103/PhysRevE.71.025102
Chernyak, V, et al. "Dynamical generalization of nonequilibrium work relation." Physical review. E, Statistical, nonlinear, and soft matter physics vol. 71,2 (2005): 025102. doi: https://doi.org/10.1103/PhysRevE.71.025102
Chernyak V, Chertkov M, Jarzynski C. Dynamical generalization of nonequilibrium work relation. Phys Rev E Stat Nonlin Soft Matter Phys. 2005 Feb;71(2):025102. doi: 10.1103/PhysRevE.71.025102. Epub 2005 Feb 17. PMID: 15783364.
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Phys Rev E Stat Nonlin Soft Matter Phys. 2005 Feb;71(2):025102. doi: 10.1103/PhysRevE.71.025102. Epub 2005 Feb 17.

Dynamical generalization of nonequilibrium work relation.

Physical review. E, Statistical, nonlinear, and soft matter physics

V Chernyak, M Chertkov, C Jarzynski

Affiliations

  1. Department of Chemistry, Wayne State University, 5101 Cass Avenue, Detroit, Michigan 48202, USA.

PMID: 15783364 DOI: 10.1103/PhysRevE.71.025102

Abstract

The evolution of systems in contact with thermal, chaotic, or turbulent surroundings-often modeled with stochastic equations of motion-can be particularly complex when these equations of motion are nonautonomous, that is, when external parameters of the surroundings are varied with time. In this paper we establish a rigorous equality relating the nonautonomous behavior of such a system, to solutions of the corresponding autonomous equations of motion, for arbitrary initial conditions. If the system is initially in thermal equilibrium, we recover previously known results relating nonequilibrium work values to equilibrium probability distributions. We discuss specific examples of our result, and suggest an experimental setting in which it might be verified.

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