Fluctuating interfaces subject to stochastic resetting

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 characte...

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Bibliographic Details
Published inPhysical review letters Vol. 112; no. 22; p. 220601
Main Authors Gupta, Shamik, Majumdar, Satya N, Schehr, Grégory
Format Journal Article
LanguageEnglish
Published United States 06.06.2014
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Summary: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.
ISSN:1079-7114
DOI:10.1103/physrevlett.112.220601