Stochastic model of single-file flow with reversible blockage
Laboratoire de Physique Théorique de la Matière Condensée, UPMC, CNRS UMR 7600 - 4, place Jussieu, 75252 Paris Cedex 05, France
Received: 4 November 2013
Accepted: 20 December 2013
We introduce a stochastic model for reversible blockage in particulate flow through a channel. A blockage forms whenever two particles are in the channel simultaneously. The process restarts after a waiting time and both particles exit the channel. We obtain exact expressions for the steady-state particle flux out of the channel, the probability that the channel is open at time t and the probability distribution that n particles have exited the channel at time t when the channel is closed.
PACS: 05.40.-a – Fluctuation phenomena, random processes, noise, and Brownian motion / 05.60.Cd – Classical transport
© EPLA, 2013