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Symmetric exclusion process under stochastic resetting.

Urna Basu1, Anupam Kundu2, Arnab Pal3,4,5

  • 1Raman Research Institute, Bengaluru 560080, India.

Physical Review. E
|October 24, 2019
PubMed
Summary
This summary is machine-generated.

Stochastic resetting in symmetric exclusion processes (SEP) creates a non-flat stationary state and causes currents to grow linearly with time, unlike the standard square-root growth.

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Area of Science:

  • Statistical Mechanics
  • Non-equilibrium Physics
  • Complex Systems

Background:

  • Symmetric exclusion processes (SEP) are fundamental models in statistical mechanics.
  • Stochastic resetting introduces non-equilibrium dynamics by periodically resetting the system's state.

Purpose of the Study:

  • To investigate the impact of stochastic resetting on the stationary and dynamical properties of SEPs.
  • To analyze the behavior of diffusive and resetting currents under stochastic resetting.

Main Methods:

  • Exact computation of time-dependent density profiles.
  • Analysis of diffusive and resetting currents.
  • Application of the renewal approach to study current distributions.

Main Results:

  • Stochastic resetting leads to a nontrivial, inhomogeneous stationary state.
  • The average diffusive and resetting currents exhibit linear growth with time (t).
  • The total current distribution shows strong non-Gaussian behavior, unlike the Gaussian fluctuations of individual currents.

Conclusions:

  • Stochastic resetting significantly alters SEP dynamics, leading to distinct stationary states and current behaviors.
  • The interplay between diffusive and resetting currents results in complex, non-Gaussian statistical properties.