Related Experiment Video
Updated: Aug 24, 2026

A Method for Determination and Simulation of Permeability and Diffusion in a 3D Tissue Model in a Membrane Insert System for Multi-well Plates
Published on: February 23, 2018
Diffusion and percolation in anisotropic random barrier models
1Centro Atómico Bariloche, 8400 San Carlos de Bariloche, Río Negro, Argentina.
Abstract:
An anisotropic random barrier model is presented, in which the transition probabilities in different directions have different probability density functions. At low temperatures, the anisotropic long-time diffusion coefficients, obtained using an effective medium approximation, follow an Arrhenius temperature dependence, with the same activation energy for each direction. Such activation energy is related to the anisotropic percolation properties of the lattice, and can be analyzed in terms of the critical percolation path approximation. The anisotropic effective medium approximation is shown to predict the correct percolation threshold for an anisotropic two-dimensional square lattice. In addition, results are compared with numerical simulations using a fast kinetic Monte Carlo algorithm.
Related Concept Videos
Theories of Dissolution: The Danckwerts' Model and Interfacial Barrier Model
Diffusion
Diffusion
Protein Diffusion in the Membrane
Physiological Pharmacokinetic Models: Blood Flow-Limited Versus Diffusion-Limited Models
Behavior of Gas Molecules: Molecular Diffusion, Mean Free Path, and Effusion

