Supersymmetry and Nonequilibrium Work Relations

Kirone Mallick; Moshe Moshe; Henri Orland

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arXiv · 0711.2059

Supersymmetry and Nonequilibrium Work Relations

Kirone Mallick·Moshe Moshe·Henri Orland

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Abstract

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

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Kirone Mallick, Moshe Moshe, Henri Orland. 2008-02-01. Supersymmetry and Nonequilibrium Work Relations. https://arxiv.org/abs/0711.2059

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