Mean first-passage time for superdiffusion in a slit pore with sticky boundaries.
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.
Parashar
Rishi
R
Division of Hydrologic Sciences, Desert Research Institute, Reno, Nevada 89512, USA.
O'Malley
Daniel
D
Cushman
John H
JH