title: Mean first-passage time for superdiffusion in a slit pore with sticky boundaries.
abstract: This Brief Report examines Levy motion in a slit pore with sticky boundaries, i.e., boundaries that absorb particles for a random amount of time. A set of equations is developed that can explicitly be solved for mean travel distance to a plane for a particle released from the origin and can iteratively be used to compute mean first-passage time (MFPT). Results from the theory compare favorably with Monte Carlo simulations.
authors.affiliation: Division of Hydrologic Sciences, Desert Research Institute, Reno, Nevada 89512, USA.
authors.forename: Rishi
authors.initials: R
authors.lastname: Parashar
authors.forename: Daniel
authors.initials: D
authors.lastname: O'Malley
authors.forename: John H
authors.initials: JH
authors.lastname: Cushman