论文标题
在具有单向转换的系统的速度限制上的热力学结合
Tighter thermodynamic bound on speed limit in systems with unidirectional transitions
论文作者
论文摘要
我们考虑具有单向和双向链接的一般离散状态空间系统。与双向链接相反，沿单向链路没有反向过渡。本文中，我们首先计算概率空间中过渡的统计长度和热力学成本函数，突出了总，环境和重置（单向）熵产生的贡献。然后，我们在速度限制上得出热力学结合，以连接有限时间分隔的两个分布，显示了单向跃迁的存在的影响。对于平均重置熵产生的第一和第二矩，可以找到新颖的不确定性关系。我们在缓慢的单向转换速率的极限下得出简单的表达式。最后，我们通过优化程序介绍了热力学结合的改进。我们在数值上研究了这些结果，这些系统以恒定且周期性的重置速率随机重置。
We consider a general discrete state-space system with both unidirectional and bidirectional links. In contrast to bidirectional links, there is no reverse transition along the unidirectional links. Herein, we first compute the statistical length and the thermodynamic cost function for transitions in the probability space, highlighting contributions from total, environmental, and resetting (unidirectional) entropy production. Then, we derive the thermodynamic bound on the speed limit to connect two distributions separated by a finite time, showing the effect of the presence of unidirectional transitions. Novel uncertainty relationships can be found for the \textit{temporal} first and second moments of the average resetting entropy production. We derive simple expressions in the limit of slow unidirectional transition rates. Finally, we present a refinement of the thermodynamic bound, by means of an optimization procedure. We numerically investigate these results on systems that stochastically reset with constant and periodic resetting rate.
