Alladi Ramakrishnan Hall

First passage time in stochastic resetting process with finite time return

Priyo Sankar Pal

KIAS, Seoul

Stochastic resetting is a strategy for boosting speed of target-searching process.
After proposed a decade ago, most studies have been carried out under the assumption that resetting takes place instantaneously. However, as thermodynamic cost
must be incurred for resetting process due to its irreversible nature, instantaneous
resetting is not physically allowed unless infinite cost is provided. Here, we take into
full consideration on both cost and first passage time (FPT) for stochastic resetting
process, where reset is implemented by using a trapping potential during a finite
time. We obtain the explicit form of the time-cost trade- off relation, which gives
the lower bound of mean FPT for a given work, when the trapping potential is linear
in position.