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

Elisabeth Scholl-Paschinger·Christoph Dellago
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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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Elisabeth Scholl-Paschinger, Christoph Dellago. 2006-05-10. A proof of Jarzynski's non-equilibrium work theorem for dynamical systems that conserve the canonical distribution. https://doi.org/10.1063/1.2227025

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