Time scale of random sequential adsorption

Radek Erban and S. Jonathan Chapman
Phys. Rev. E 75, 041116 – Published 26 April 2007

Abstract

A simple multiscale approach to the diffusion-driven adsorption from a solution to a solid surface is presented. The model combines two important features of the adsorption process: (i) The kinetics of the chemical reaction between adsorbing molecules and the surface and (ii) geometrical constraints on the surface made by molecules which are already adsorbed. The process (i) is modeled in a diffusion-driven context, i.e., the conditional probability of adsorbing a molecule provided that the molecule hits the surface is related to the macroscopic surface reaction rate. The geometrical constraint (ii) is modeled using random sequential adsorption (RSA), which is the sequential addition of molecules at random positions on a surface; one attempt to attach a molecule is made per one RSA simulation time step. By coupling RSA with the diffusion of molecules in the solution above the surface the RSA simulation time step is related to the real physical time. The method is illustrated on a model of chemisorption of reactive polymers to a virus surface.

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  • Received 27 November 2006

DOI:https://doi.org/10.1103/PhysRevE.75.041116

©2007 American Physical Society

Authors & Affiliations

Radek Erban* and S. Jonathan Chapman

  • Mathematical Institute, University of Oxford, 24-29 St. Giles’, Oxford, OX1 3LB, United Kingdom

  • *Electronic address: erban@maths.ox.ac.uk
  • Electronic address: chapman@maths.ox.ac.uk

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Issue

Vol. 75, Iss. 4 — April 2007

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