Stochastic resetting to a distribution: non-equilibrium steady-states and entropy production

15 Mar 2023, 11:45
45m
Lärosal 8 (Albano Building 2)

Lärosal 8

Albano Building 2

Speaker

Kristian Olsen (Stockholm University)

Description

Stochastic resetting, whereby a system is reset to its initial state at random times, has been shown to be of relevance to wide range of natural or man-made systems. One of the key features of systems with resetting is the emergence of non-equilibrium steady states (NESS), which originate in the intermittent interruption of the relaxation process of the underlying dynamics. Here we characterize the NESS of Brownian particles moving in external potentials with resetting to a position drawn from a distribution. Being out of equilibrium, the system continuously produces entropy. Using methods from stochastic thermodynamics we calculate the first few moments of the entropy production and discuss associated optimization problems.

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