论文标题
热力学不确定性关系的连续时间和平等
Continuous time-reversal and equality in the thermodynamic uncertainty relation
论文作者
论文摘要
我们引入了连续的时间反转操作，该操作通过连续的随机动力学系列连接了不可逆的马尔可道动力学的稳定状态的时间前向和时间转移的轨迹。这种连续的时间逆转使我们能够得出更严格的热力学不确定性关系（TUR），涉及相对于其局部平均值评估的可观察物。此外，动态的家族实现了连续的时间反转，其中包含时间前向和时间转移动力学之间的平衡动力学。我们表明，这种平衡动力学以及可观察到的适当选择将TAR中的不平等变成平等。我们证明了我们在倾斜周期电势中扩散粒子的示例的发现。
We introduce a continuous time-reversal operation which connects the time-forward and time-reversed trajectories in the steady state of an irreversible Markovian dynamics via a continuous family of stochastic dynamics. This continuous time-reversal allows us to derive a tighter version of the thermodynamic uncertainty relation (TUR) involving observables evaluated relative to their local mean value. Moreover, the family of dynamics realizing the continuous time-reversal contains an equilibrium dynamics halfway between the time-forward and time-reversed dynamics. We show that this equilibrium dynamics, together with an appropriate choice of the observable, turns the inequality in the TUR into an equality. We demonstrate our findings for the example of a particle diffusing in a tilted periodic potential.
