title: Boundary conditions of normal and anomalous diffusion from thermal equilibrium.
abstract: Infiltration of diffusing particles from one material to another, where the diffusion mechanism is either normal or anomalous, is a widely observed phenomenon. Starting with an underlying continuous-time random-walk model, we derive the boundary conditions for the diffusion equations describing this problem. We discuss a simple method showing how the boundary conditions can be determined from equilibrium experiments. When the diffusion processes are close to thermal equilibrium, the boundary conditions are determined by a thermal Boltzmann factor, which in turn controls the solution of the problem.
authors: Physics Department, Institute of Nanotechnology and Advanced Materials, Bar-Ilan University, Ramat-Gan, Israel.
authors: Nickolay
authors: N
authors: Korabel
authors: Eli
authors: E
authors: Barkai
mesh_terms: D004058:Diffusion; D008962:Models, Theoretical; D013269:Stochastic Processes; D013696:Temperature