A proof of Jarzynski's non-equilibrium work theorem for dynamical systems that conserve the canonical distribution

Details A proof of Jarzynski's non-equilibrium work theorem for dynamical systems that conserve the canonical distribution A proof of Jarzynski's non-equilibrium work theorem for dynamical systems that conserve the canonical distribution

2006-03-31

arxiv.org/abs/cond-mat/0603856v2

J. Chem. Phys. 125, 054105 (2006)

Physics

Condensed Matter

Statistical Mechanics

12 pages

Scientific paper

10.1063/1.2227025

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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