A field-theoretic approach to nonequilibrium work identities

Details A field-theoretic approach to nonequilibrium work identities A field-theoretic approach to nonequilibrium work identities

2010-09-24

arxiv.org/abs/1009.4800v2

J.Phys.A44:095002,2011

Physics

Condensed Matter

Statistical Mechanics

15 pages

Scientific paper

10.1088/1751-8113/44/9/095002

We study nonequilibrium work relations for a space-dependent field with stochastic dynamics (Model A). Jarzynski's equality is obtained through symmetries of the dynamical action in the path integral representation. We derive a set of exact identities that generalize the fluctuation-dissipation relations to non-stationary and far-from-equilibrium situations. These identities are prone to experimental verification. Furthermore, we show that a well-studied invariance of the Langevin equation under supersymmetry, which is known to be broken when the external potential is time-dependent, can be partially restored by adding to the action a term which is precisely Jarzynski's work. The work identities can then be retrieved as consequences of the associated Ward-Takahashi identities.

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