A field-theoretic approach to nonequilibrium work identities
| Autor: | Mallick, Kirone, Moshe, Moshe, Orland, Henri |
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| Rok vydání: | 2010 |
| Předmět: | |
| Zdroj: | J.Phys.A44:095002,2011 |
| Druh dokumentu: | Working Paper |
| DOI: | 10.1088/1751-8113/44/9/095002 |
| Popis: | 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. Comment: 15 pages |
| Databáze: | arXiv |
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