title: Diffusion with moving boundary on spherical surfaces.
abstract: 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.
authors.affiliation: Département de Chimie, Ecole Normale Supérieure, UMR CNRS-ENS-UPMC 8640 Pasteur, 24 rue Lhomond, 75231 Paris Cedex 05, France. christian.amatore@ens.fr
authors.forename: Christian
authors.initials: C
authors.lastname: Amatore
authors.forename: Oleksiy V
authors.initials: OV
authors.lastname: Klymenko
authors.forename: Alexander I
authors.initials: AI
authors.lastname: Oleinick
authors.forename: Irina
authors.initials: I
authors.lastname: Svir