We discuss the consequences of a variant of the Hatano-Sasa relation in which a nonstationarydistribution is used in place of the usual stationary one. We first show that this nonstationary distribution is related to a difference of traffic between the direct and dual dynamics. With this formalism, we extend the definition of the adiabatic and nonadiabatic entropies introduced by M. Esposito and C. Van den Broeck in Phys. Rev. Lett. 104, 090601 (2010) for the stationary case. We also obtain interesting second-law-like inequalities for transitions between nonstationary states.
展开▼
机译：我们讨论了Hatano-Sasa关系的一种变体的后果，其中使用了非平稳分布来代替通常的平稳分布。我们首先表明，这种非平稳分布与直接动力学和双重动力学之间的流量差异有关。通过这种形式主义，我们扩展了M. Esposito和C. Van den Broeck在Phys中引入的绝热和非绝热熵的定义。牧师104、090601（2010）。对于非平稳状态之间的转换，我们还获得了有趣的类似于第二定律的不等式。
展开▼
