Scientific Calendar Event



Description
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.

Refs:

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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