Supersymmetry and Nonequilibrium Work Relations
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We give a field-theoretic proof of the nonequilibrium work relations for a space dependent field with stochastic dynamics. The path integral representation and its symmetries allow us to derive Jarzynski's equality. In addition, we derive a set of exact identities that generalize the fluctuation-dissipation relations to far-from equilibrium situations. These identities are prone to experimental verification. Furthermore, we show that supersymmetry invariance of the Langevin equation, which is broken when the external potential is time-dependent, is partially restored by adding to the action a term which is precisely Jarzynski's work. Jarzynski's equality can also be deduced from this supersymmetry
minor changes prior to submission for publication, references added
minor changes prior to submission for publication, references added