A proof of Jarzynski's nonequilibrium work theorem for dynamical systems that conserve the canonical distribution.
We present a derivation of the Jarzynski [Phys. Rev. Lett. 78, 2690 (1997)] identity and the Crooks [J. Stat. Phys. 90, 1481 (1998)] 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 nonequilibrium process and the Jacobian of the phase flow generated by the dynamics.
Schöll-Paschinger
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Fakultät für Physik, Universität Wien, Boltzmanngasse 5, A-1090 Wien, Austria. elisabeth.schoell-paschinger@univie.ac.at
Dellago
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