title: First-passage approach for permeable traps.
abstract: Many reactive processes in complex materials involve absorption of diffusing molecules. Recently, there has been interest in particle interaction with partially absorbing (or permeable) traps. Here, we present a simple and efficient method for accounting for the non-diffusion-limited reaction of particles when the flux of particles to the trap is governed by surface permeability. The trapping probability is determined from a one-dimensional Green's function, which results in a simple algebraic expression. This expression, which applies in the region immediately adjacent to the trap, is then used with a first-passage approach far from the trap. When applied to a suspension of permeable traps, the method is seen to give accurate results over the concentration range. The method is applied to the competition of reactive particles in a suspension of permeable spheres with a reactive continuous phase.
authors.affiliation: Department of Chemical Engineering, P.O. Box 43121, Texas Tech University, Lubbock, Texas 79409-3121, USA.
authors.forename: Mark W
authors.initials: MW
authors.lastname: Vaughn
mesh_terms: D000465:Algorithms; D003198:Computer Simulation; D004058:Diffusion; D008962:Models, Theoretical; D016062:Porosity