Zero-current nonequilibrium state in symmetric exclusion process with dichotomous stochastic resetting

  title={Zero-current nonequilibrium state in symmetric exclusion process with dichotomous stochastic resetting},
  author={Onkar Sadekar and Urna Basu},
  journal={arXiv: Statistical Mechanics},
We study the dynamics of symmetric exclusion process (SEP) in the presence of stochastic resetting to two possible specific configurations -- with rate $r_1$ (respectively, $r_2$) the system is reset to a step-like configuration where all the particles are clustered in the left (respectively, right) half of the system. We show that this dichotomous resetting leads to a range of rich behaviour, both dynamical and in the stationary state. We calculate the exact stationary profile in the presence… 
5 Citations
Stochastic resetting with stochastic returns using external trap
A method of resetting which involves non-instantaneous returns facilitated by an external confining trap potential centered at the resetting location is proposed and can be applied to more realistic return protocols opening up a panorama of possibilities for further theoretical and experimental applications.
Random acceleration process under stochastic resetting
  • Prashant Singh
  • Mathematics
    Journal of Physics A: Mathematical and Theoretical
  • 2020
We consider the motion of a randomly accelerated particle in one dimension under stochastic resetting mechanism. Denoting the position and velocity by $x$ and $v$ respectively, we consider two
Run-and-tumble particles on a line with a fertile site
We propose a model of run-and-tumble particles (RTPs) on a line with a fertile site at the origin. After going through the fertile site, a run-and-tumble particle gives rise to new particles until it
The inspection paradox in stochastic resetting
The remaining travel time of a plane shortens with every minute that passes from its departure, and a flame diminishes a candle with every second it burns. Such everyday occurrences bias us to think
Active gating: rocking diffusion channels
When the contacts of an open system flip between different reservoirs, the resulting nonequilibrium shows increased dynamical activity. We investigate such active gating for one-dimensional symmetric


Symmetric exclusion process under stochastic resetting.
While the typical fluctuations of both the diffusive and reset currents around the mean are typically Gaussian, the distribution of the total current shows a strong non-Gaussian behavior.
Totally asymmetric simple exclusion process with resetting
We study the one-dimensional totally asymmetric simple exclusion process (TASEP) with open boundaries having the additional dynamical feature of stochastic resetting to the initial, empty state. The
Characterization of stationary states in random walks with stochastic resetting.
The derivation and analysis of mesoscopic (continuous-time random walk) equations for both jump and velocity models with stochastic resetting shows that stationary states emerge for any shape of the waiting-time and jump length distributions.
Stochastic resetting and applications
In this Topical Review we consider stochastic processes under resetting, which have attracted a lot of attention in recent years. We begin with the simple example of a diffusive particle whose
Optimal diffusive search: nonequilibrium resetting versus equilibrium dynamics
We study rst-passage time problems for a diusive particle with stochastic resetting with a nite rate r. The optimal search time is compared quantitatively with that of an eective equilibrium Langevin
First passage of a particle in a potential under stochastic resetting: A vanishing transition of optimal resetting rate.
Interestingly, it is found that for a sufficiently strong external potential, the advantageous optimal resetting rate r_{*} vanishes with a deviation from the critical strength of the potential as a power law with an exponent β which appears to be universal.
Transport properties and first-arrival statistics of random motion with stochastic reset times.
This work studies the existence of a finite equilibrium mean-square displacement (MSD) when resets are applied to random motion with 〈x^{2}(t)〉_{m}∼t^{p} for 0<p≤2}.
Statistical mechanics of the coagulation-diffusion process with a stochastic reset
The effects of a stochastic reset, to its initial configuration, is studied in the exactly solvable one-dimensional coagulation-diffusion process. A finite resetting rate leads to a modified
An update on the nonequilibrium linear response
The unique fluctuation–dissipation theorem for equilibrium stands in contrast with the wide variety of nonequilibrium linear response formulae. Their most traditional approach is ‘analytic’, which,
Non-equilibrium steady states of stochastic processes with intermittent resetting
Stochastic processes that are randomly reset to an initial condition serve as a showcase to investigate non-equilibrium steady states. However, all existing results have been restricted to the