论文标题
相对熵产生，时间逆转和最佳时间内均匀扩散过程的一些新结果
Some new results on relative entropy production, time reversal, and optimal control of time-inhomogeneous diffusion processes
论文作者
论文摘要
本文研究了时间不均匀的非平衡扩散过程，包括布朗动力学和兰格文动力学。我们得出相对于瞬态不变概率度量的相对均匀过程相对熵产生的上限。我们还研究了骗子波动定理中反向过程的时间逆转。我们表明，反向过程的时间逆转与最佳控制的正向过程一致，该过程最终导致基于jarzynski的平等而导致零差异重要性采样估计器。
This paper studies time-inhomogeneous nonequilibrium diffusion processes, including both Brownian dynamics and Langevin dynamics. We derive upper bounds of the relative entropy production of the time-inhomogeneous process with respect to the transient invariant probability measures. We also study the time reversal of the reverse process in Crooks' fluctuation theorem. We show that the time reversal of the reverse process coincides with the optimally controlled forward process that leads to zero variance importance sampling estimator based on Jarzynski's equality.
