Fluctuating interfaces subject to stochastic resetting
Abstract
We study one-dimensional fluctuating interfaces of length L where the interface stochastically resets to a fixed initial profile at a constant rate r. For finite r in the limit L ∞, the system settles into a nonequilibrium stationary state with non-Gaussian interface fluctuations, which we characterize analytically for the Kardar-Parisi-Zhang and Edwards-Wilkinson universality class. Our results are corroborated by numerical simulations. We also discuss the generality of our results for a fluctuating interface in a generic universality class.
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