Fluctuating interfaces subject to stochastic resetting

Shamik Gupta ¹ Satya N. Majumdar ¹ Gregory Schehr ¹

Physical Review Letters, American Physical Society, 2014, 112, pp.220601

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 $L \to \infty$, 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.

• 1. LPTMS – Laboratoire de Physique Théorique et Modèles Statistiques