Prof. Martin Evans

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"Stochastic resetting" is a rather common process in everyday life. Consider searching for some target such as, for example, a face in a crowd or one's misplaced keys at home. A natural tendency is, on having searched unsuccessfully for a while, to return to the starting point and recommence the search. In this talk I explore the consequences of such resetting on perhaps the most simple and common process in nature, namely, the diffusion of a single or a multiparticle system. It turns out that a nonzero rate of resetting has a rather rich and dramatic effect on the diffusion process, strongly affecting the behaviour of mean first passage times and survival probabilities.

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University of Edinburgh
Seminarraum Theoretische Physik
Contact: not specified