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 in:Physical review letters Vol. 112; no. 22; p. 220601
Main Authors: Gupta, Shamik, Majumdar, Satya N., Schehr, Grégory
Format: Journal Article
Language:English
Published: United States American Physical Society 06.06.2014
Subjects:
Computer simulation
Condensed Matter
Constants
Fluctuation
Infinity
Mathematical analysis
Mathematical models
Physics
Probability theory
Statistical Mechanics
Stochasticity
ISSN:0031-9007, 1079-7114, 1079-7114
Online Access:Get full text
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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.
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ISSN:0031-9007
1079-7114
1079-7114
DOI:10.1103/PhysRevLett.112.220601