Title: Influence of Entropy Changes on First Passage Time in the Thermodynamics of trajectories

Abstract: For the thermodynamics of trajectories, an ensemble containing the variables of dynamic activity and first-passage time (FPT) is considered. The dependence of the average FPT on the total non-negative change in entropy is obtained. The same dependences were obtained for the dynamic activity, the dispersions of dynamic activity and FPT, as well as for the correlation of dynamic activity and FPT. The application of the obtained results to a two-level system makes it possible to obtain dependencies on the change in entropy, containing a stationary nonequilibrium state and equilibrium states. The dependences of the FPT moments on the change in entropy are calculated for two models of the partition function.