Diffusion with Stochastic Resetting

Details Diffusion with Stochastic Resetting Diffusion with Stochastic Resetting

2011-02-14

arxiv.org/abs/1102.2704v1

Phys. Rev. Lett. 106, 160601 (2011)

Physics

Condensed Matter

Statistical Mechanics

4 pages revtex, 1 .eps figure included

Scientific paper

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.

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