title: Diffusion with stochastic resetting.
abstract: We study simple diffusion where a particle stochastically resets to its initial position at a constant rate r. A finite resetting rate leads to a nonequilibrium stationary state with non-Gaussian fluctuations for the particle position. We also show that the mean time to find a stationary target by a diffusive searcher is finite and has a minimum value at an optimal resetting rate r*. Resetting also alters fundamentally the late time decay of the survival probability of a stationary target when there are multiple searchers: while the typical survival probability decays exponentially with time, the average decays as a power law with an exponent depending continuously on the density of searchers.
authors: SUPA, School of Physics and Astronomy, University of Edinburgh, Edinburgh, United Kingdom.
authors: Martin R
authors: MR
authors: Evans
authors: Satya N
authors: SN
authors: Majumdar