Diffusion with Stochastic Resetting

Martin Evans, Satya Majumdar

Research output: Contribution to journalLetterpeer-review


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.
Original languageEnglish
Article number160601
Number of pages4
JournalPhysical Review Letters
Issue number16
Publication statusPublished - 18 Apr 2011


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