Journal article

Mean first passage time of active Brownian particle in one dimension

  • Scacchi, Alberto Department of Physics, University of Fribourg, Switzerland
  • Sharma, Abhinav Department of Physics, University of Fribourg, Switzerland - Institut Theorie der Polymere, Leibniz-Institut für Polymerforschung Dresden, Germany
    16.02.2018
Published in:
  • Molecular Physics. - 2018, vol. 116, no. 4, p. 460–464
English 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.
Faculty
Faculté des sciences et de médecine
Department
Département de Physique
Language
  • English
Classification
Physics
License
License undefined
Identifiers
Persistent URL
https://folia.unifr.ch/unifr/documents/306690
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