Random search with stochastic resetting: when finding the target is not enough
File(s)
Published version
Author(s)
Bressloff, Paul C
Type
Journal Article
Abstract
In this paper, we consider a random search process with stochastic resetting and a partially accessible target
U. In contrast to standard search processes, we assume that when the searcher first finds the target by contacting
the surface ∂U, it does not have immediate access to the resources within the target interior. Instead, it spends a
random waiting time attached to the surface, after which it either gains access to the resources or detaches and
continues its search process. We also assume that the searcher requires an alternating sequence of periods of bulk
diffusion interspersed with local surface interactions before being able to attach to the surface. The attachment,
detachment, and target entry events are the analogs of adsorption, desorption, and absorption of a particle by a
partially reactive surface in physical chemistry. Using renewal theory, we analytically derive the nonequilibrium
stationary state and mean first passage time statistics for several configurations, including both the half-line and
higher-dimensional geometries, and models incorporating non-Markovian absorption.
U. In contrast to standard search processes, we assume that when the searcher first finds the target by contacting
the surface ∂U, it does not have immediate access to the resources within the target interior. Instead, it spends a
random waiting time attached to the surface, after which it either gains access to the resources or detaches and
continues its search process. We also assume that the searcher requires an alternating sequence of periods of bulk
diffusion interspersed with local surface interactions before being able to attach to the surface. The attachment,
detachment, and target entry events are the analogs of adsorption, desorption, and absorption of a particle by a
partially reactive surface in physical chemistry. Using renewal theory, we analytically derive the nonequilibrium
stationary state and mean first passage time statistics for several configurations, including both the half-line and
higher-dimensional geometries, and models incorporating non-Markovian absorption.
Date Issued
2025-05-01
Date Acceptance
2025-05-06
Citation
Physical Review E, 2025, 111 (5)
ISSN
2470-0045
Publisher
American Physical Society (APS)
Journal / Book Title
Physical Review E
Volume
111
Issue
5
Publication Status
Published
Article Number
054127
Date Publish Online
2025-05-20