A proof of Jarzynski's non-equilibrium work theorem for dynamical systems that conserve the canonical distribution
Statistical Mechanics
2009-11-11 v2
Abstract
We present a derivation of the Jarzynski identity and the Crooks fluctuation theorem for systems governed by deterministic dynamics that conserves the canonical distribution such as Hamiltonian dynamics, Nose-Hoover dynamics, Nose-Hoover chains and Gaussian isokinetic dynamics. The proof is based on a relation between the heat absorbed by the system during the non-equilibrium process and the Jacobian of the phase flow generated by the dynamics.
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Cite
@article{arxiv.cond-mat/0603856,
title = {A proof of Jarzynski's non-equilibrium work theorem for dynamical systems that conserve the canonical distribution},
author = {Elisabeth Scholl-Paschinger and Christoph Dellago},
journal= {arXiv preprint arXiv:cond-mat/0603856},
year = {2009}
}
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12 pages