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Diffusion with Moving Boundary on Spherical Surfaces
Author(s) -
Amatore Christian,
Klymenko Oleksiy V.,
Oleinick Alexander I.,
Svir Irina
Publication year - 2009
Publication title -
chemphyschem
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.016
H-Index - 140
eISSN - 1439-7641
pISSN - 1439-4235
DOI - 10.1002/cphc.200900169
Subject(s) - brownian motion , diffusion , brownian dynamics , statistical physics , boundary (topology) , particle (ecology) , anomalous diffusion , cluster (spacecraft) , range (aeronautics) , surface diffusion , classical mechanics , limit (mathematics) , surface (topology) , boundary value problem , diffusion process , work (physics) , physics , materials science , chemistry , mathematical analysis , mathematics , geometry , computer science , thermodynamics , knowledge management , oceanography , innovation diffusion , adsorption , quantum mechanics , programming language , composite material , geology
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.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.