A field-theoretic approach to non-equilibrium work identities

作者：Mallick Kirone^*; Moshe Moshe; Orland Henri

来源：Journal of Physics A-Mathematical and Theoretical, 2011, 44(9): 095002.

DOI：10.1088/1751-8113/44/9/095002

We study non-equilibrium 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.

• 出版日期2011-3-4