Realm of Validity of the Crooks Relation
| Autor: | ben-Avraham, Daniel, Dorosz, Sven, Pleimling, Michel |
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| Rok vydání: | 2010 |
| Předmět: | |
| Zdroj: | Phys. Rev. E 83, 041129 (2011) |
| Druh dokumentu: | Working Paper |
| DOI: | 10.1103/PhysRevE.83.041129 |
| Popis: | We consider the distribution $P(\phi)$ of the Hatano-Sasa entropy, $\phi$, in reversible and irreversible processes, finding that the Crooks relation for the ratio of the pdf's of the forward and backward processes, $P_F(\phi)/P_R(-\phi)=e^{\phi}$, is satisfied not only for reversible, but also for irreversible processes, in general, in the adiabatic limit of "slow processes." Focusing on systems with a finite set of discrete states (and no absorbing states), we observe that two-state systems always fulfill detailed balance, and obey Crooks relation. We also identify a wide class of systems, with more than two states, that can be "coarse-grained" into two-state systems and obey Crooks relation despite their irreversibility and violation of detailed balance. We verify these results in selected cases numerically. Comment: 6 figures, version to appear in Physical Review E |
| Databáze: | arXiv |
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