Diffusion with Moving Boundary on Spherical Surfaces
Christian Andre Amatore, Oleksiy V. Klymenko, Alexander I. Oleinick, Свирь Ирина Борисовна · ChemPhysChem · 2009
Abstract Coming together: Surface diffusion of particles over a sphere and their clustering (see picture) may be adequately modelled by means of Brownian motion simulations or by using continuous Fick's diffusion law with a moving boundary in the low‐concentration limit. magnified image In this work, we illustrate two approaches to the simulation of surface diffusion over a sphere coupled with the formation of a cluster by reactive particles as a paradigm of a wide variety of problems occurring in many areas of nanosciences and biology. The problem is treated using a Brownian motion approach and a numerical solution of the corresponding continuous Fick’s laws of diffusion. While being computationally more expensive, the Brownian motion approach allows one to consider a wider range of situations, particularly those corresponding to relatively high concentrations of diffusing particles and the ensuing problem of particle overlap when they are ascribed finite sizes.