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Fluctuating interfaces subject to stochastic resetting.

Shamik Gupta1, Satya N Majumdar1, Grégory Schehr1

  • 1Laboratoire de Physique Théorique et Modèles Statistiques (CNRS UMR 8626), Université Paris-Sud, Orsay 91405, France.

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Summary
This summary is machine-generated.

We analyzed fluctuating interfaces that reset stochastically. The study found these systems reach a nonequilibrium state with non-Gaussian fluctuations, confirmed by simulations and applicable to generic universality classes.

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Area of Science:

  • Statistical Physics
  • Condensed Matter Physics
  • Nonlinear Dynamics

Background:

  • Fluctuating interfaces are fundamental in various physical phenomena.
  • Understanding nonequilibrium systems is crucial for modern physics.
  • Previous models often assumed Gaussian fluctuations.

Purpose of the Study:

  • To investigate the behavior of one-dimensional fluctuating interfaces with stochastic resetting.
  • To characterize the emergent nonequilibrium stationary state and its fluctuations.
  • To analyze the universality of these findings across different models.

Main Methods:

  • Analytical calculations for the Kardar-Parisi-Zhang (KPZ) and Edwards-Wilkinson (EW) universality classes.
  • Development of a theoretical framework for systems with stochastic resetting.
  • Comparison of analytical predictions with numerical simulations.

Main Results:

  • The system reaches a nonequilibrium stationary state for finite resetting rates (r) and infinite length (L→∞).
  • Interface fluctuations are non-Gaussian in this state.
  • Analytical characterization of these non-Gaussian fluctuations was achieved for KPZ and EW classes.

Conclusions:

  • Stochastic resetting drives interfaces into a universal nonequilibrium state with non-Gaussian fluctuations.
  • The findings are robust and extend to generic universality classes of fluctuating interfaces.
  • This work provides a theoretical basis for understanding complex interfacial dynamics in driven systems.