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Current fluctuations in stochastically resetting particle systems.

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Stochastic resetting influences particle current distributions, inducing stationary states. Resetting affects annealed and quenched distributions differently, with the quenched case showing a critical transition.

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Area of Science:

  • Statistical physics
  • Non-equilibrium systems
  • Stochastic processes

Background:

  • Particles on a line exhibit complex dynamics.
  • Stochastic resetting introduces non-equilibrium behavior.
  • Understanding particle current distributions is crucial.

Purpose of the Study:

  • Investigate the impact of stochastic resetting on particle current distributions.
  • Analyze both Brownian motion and run-and-tumble models.
  • Characterize annealed and quenched current distributions.

Main Methods:

  • Analytical calculations of current distributions.
  • Study of annealed and quenched regimes.
  • Numerical simulations using importance sampling.

Main Results:

  • Stochastic resetting induces stationary current distributions.
  • Annealed and quenched distributions approach stationarity differently.
  • Quenched distribution exhibits a third-order phase transition.

Conclusions:

  • Stochastic resetting fundamentally alters particle current statistics.
  • The critical transition in quenched distributions offers new insights.
  • Analytical and numerical results show excellent agreement.