Options
First passage in the presence of stochastic resetting and a potential barrier
Journal
Physical Review E
ISSN
24700045
Date Issued
2022-04-01
Author(s)
Ahmad, Saeed
Rijal, Krishna
Das, Dibyendu
Abstract
Diffusion and first passage in the presence of stochastic resetting and potential bias have been of recent interest. We study a few models, systematically progressing in their complexity, to understand the usefulness of resetting. In the parameter space of the models, there are multiple continuous and discontinuous transitions where the advantage of resetting vanishes. We show these results analytically exactly for a tent potential, and numerically accurately for a quartic potential relevant to a magnetic system at low temperatures. We find that the spatial asymmetry of the potential across the barrier, and the number of absorbing boundaries, play a crucial role in determining the type of transition.
Volume
105
Publication link