克鲁克斯关系的合法性领域
Realm of Validity of the Crooks Relation
摘要：
本文研究了可逆过程和不可逆过程中Hatano-Sasa熵的分布$P(ϕ)$，发现在“慢过程”的绝热极限下，前向过程和后向过程的概率密度函数之比$P_F(ϕ)/P_R(-ϕ)=e^ϕ$不仅对可逆过程，而且对不可逆过程都满足Crooks关系.“关注具有有限离散状态集（并且没有吸收状态）的系统，我们观察到两态系统总是满足细致平衡，并且服从Crooks关系。我们还确定了一个广泛的系统，有两个以上的国家，可以“粗粒度”到两个状态的系统，并遵守克鲁克斯关系，尽管他们的不可逆性和违反细致平衡。我们验证这些结果在选定的情况下数值。
英文摘要：
We consider the distribution $P(ϕ)$ of the Hatano-Sasa entropy, $ϕ$, in reversible and irreversible processes, finding that the Crooks relation for the ratio of the pdf's of the forward and backward processes, $P_F(ϕ)/P_R(-ϕ)=e^ϕ$, 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.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
