Scientific Calendar Event

We study a simple model of search where the searcher undergoes normal diffusion, but once in a while resets to its initial starting point stochastically with rate  r.  The effect of a finite resetting rate  r  turns out to be rather drastic.  It leads to finite mean search time which, as a function of  r,  has a minimum at an optimal resetting rate r_c.
This makes the search process efficient.
We then generalize this model to study multiple searchers.
Resetting 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.  We also consider various generalisations of this simple model.


M.R. Evans and S.N. Majumdar,
"Diffusion with Stochastic Resetting", Phys. Rev. Lett. 106, 160601 (2011).

M.R. Evans and S.N. Majumdar, "Diffusion with Optimal Resetting", J. Phys. A-Math. & Theor. 44, 435001 (2011).
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