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For the thermodynamics of trajectories, an ensemble containing the variablesof dynamic activity and first-passage time (FPT) is considered. The dependenceof the average FPT on the total non-negative change in entropy is obtained. Thesame dependences were obtained for the dynamic activity, the dispersions ofdynamic activity and FPT, as well as for the correlation of dynamic activityand FPT. The application of the obtained results to a two-level system makes itpossible to obtain dependencies on the change in entropy, containing astationary nonequilibrium state and equilibrium states. The dependences of theFPT moments on the change in entropy are calculated for two models of thepartition function.

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