Stochastic resetting and applications

MR Evans, SN Majumdar… - Journal of Physics A …, 2020 - iopscience.iop.org
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 …

Stochastic resetting in interacting particle systems: A review

A Nagar, S Gupta - Journal of Physics A: Mathematical and …, 2023 - iopscience.iop.org
We review recent work on systems with multiple interacting-particles having the dynamical
feature of stochastic resetting. The interplay of time scales related to inter-particle …

Run and tumble particle under resetting: a renewal approach

MR Evans, SN Majumdar - Journal of Physics A: Mathematical …, 2018 - iopscience.iop.org
We consider a particle undergoing run and tumble dynamics, in which its velocity
stochastically reverses, in one dimension. We study the addition of a Poissonian resetting …

First passage under stochastic resetting in an interval

A Pal, VV Prasad - Physical Review E, 2019 - APS
We consider a Brownian particle diffusing in a one-dimensional interval with absorbing end
points. We study the ramifications when such motion is interrupted and restarted from the …

Restart expedites quantum walk hitting times

R Yin, E Barkai - Physical Review Letters, 2023 - APS
Classical first-passage times under restart are used in a wide variety of models, yet the
quantum version of the problem still misses key concepts. We study the quantum hitting time …

Time-averaging and nonergodicity of reset geometric Brownian motion with drift

D Vinod, AG Cherstvy, R Metzler, IM Sokolov - Physical Review E, 2022 - APS
How do near-bankruptcy events in the past affect the dynamics of stock-market prices in the
future? Specifically, what are the long-time properties of a time-local exponential growth of …

Heterogeneous diffusion with stochastic resetting

T Sandev, V Domazetoski, L Kocarev… - Journal of Physics A …, 2022 - iopscience.iop.org
We study a heterogeneous diffusion process (HDP) with position-dependent diffusion
coefficient and Poissonian stochastic resetting. We find exact results for the mean squared …

Ising model with stochastic resetting

M Magoni, SN Majumdar, G Schehr - Physical Review Research, 2020 - APS
We study the nonequilibrium stationary state (NESS) of the Ising model driven away from
thermal equilibrium at temperature T by a stochastic resetting protocol. This protocol …

Quantum dynamics with stochastic reset

B Mukherjee, K Sengupta, SN Majumdar - Physical Review B, 2018 - APS
We study nonequilibrium dynamics of integrable and nonintegrable closed quantum
systems whose unitary evolution is interrupted with stochastic resets, characterized by a …

Random walks on networks with stochastic resetting

AP Riascos, D Boyer, P Herringer, JL Mateos - Physical Review E, 2020 - APS
We study random walks with stochastic resetting to the initial position on arbitrary networks.
We obtain the stationary probability distribution as well as the mean and global first passage …