Some new results on relative entropy production, time reversal, and optimal control of time-inhomogeneous diffusion processes

This paper studies time-inhomogeneous diffusion processes, including both Brownian dynamics and Langevin dynamics. We derive upper bounds of the relative entropy production for a process with respect to transient invariant probability measures. also study time reversal reverse in Crooks’s fluctuation theorem. show that coincides optimally controlled forward leads zero variance importance sampling estimator free energy calculations based on Jarzynski’s equality.