A1 Refereed original research article in a scientific journal
Mean first passage time of active Brownian particle in one dimension
Authors: Scacchi, A.; Sharma, A.
Publisher: TAYLOR & FRANCIS LTD
Publishing place: ABINGDON
Publication year: 2018
Journal: Molecular Physics
Journal name in source: MOLECULAR PHYSICS
Journal acronym: MOL PHYS
Volume: 116
Issue: 4
First page : 460
Last page: 464
Number of pages: 5
ISSN: 0026-8976
eISSN: 1362-3028
DOI: https://doi.org/10.1080/00268976.2017.1401743
Abstract
We investigate the mean first passage time of an active Brownian particle in one dimension using numerical simulations. The activity in one dimension is modelled as a two state model; the particle moves with a constant propulsion strength but its orientation switches from one state to other as in a random telegraphic process. We study the influence of a finite resetting rate r on the mean first passage time to a fixed target of a single free active Brownian particle and map this result using an effective diffusion process. As in the case of a passive Brownian particle, we can find an optimal resetting rate r* for an active Brownian particle for which the target is found with the minimum average time. In the case of the presence of an external potential, we find good agreement between the theory and numerical simulations using an effective potential approach.[GRAPHICS].
We investigate the mean first passage time of an active Brownian particle in one dimension using numerical simulations. The activity in one dimension is modelled as a two state model; the particle moves with a constant propulsion strength but its orientation switches from one state to other as in a random telegraphic process. We study the influence of a finite resetting rate r on the mean first passage time to a fixed target of a single free active Brownian particle and map this result using an effective diffusion process. As in the case of a passive Brownian particle, we can find an optimal resetting rate r* for an active Brownian particle for which the target is found with the minimum average time. In the case of the presence of an external potential, we find good agreement between the theory and numerical simulations using an effective potential approach.[GRAPHICS].
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