A1 Vertaisarvioitu alkuperäisartikkeli tieteellisessä lehdessä
Mean first passage time of active Brownian particle in one dimension
Tekijät: Scacchi, A.; Sharma, A.
Kustantaja: TAYLOR & FRANCIS LTD
Kustannuspaikka: ABINGDON
Julkaisuvuosi: 2018
Journal: Molecular Physics
Tietokannassa oleva lehden nimi: MOLECULAR PHYSICS
Lehden akronyymi: MOL PHYS
Vuosikerta: 116
Numero: 4
Aloitussivu: 460
Lopetussivu: 464
Sivujen määrä: 5
ISSN: 0026-8976
eISSN: 1362-3028
DOI: https://doi.org/10.1080/00268976.2017.1401743
Tiivistelmä
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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