Speaker
Prof.
Martin Evans
(Edinburgh)
Description
"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.
Primary author
Prof.
Martin Evans
(Edinburgh)
