The Mathematical Institute, University of Oxford, Eprints Archive

Time scale of random sequential adsorption

Erban, R. and Chapman, S. J. (2007) Time scale of random sequential adsorption. Physical Review E, 75 (4). 041116-041120. ISSN 1539-3755


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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 modelled 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 modelled 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.

Item Type:Article
Uncontrolled Keywords:adsorption; surface chemistry; reaction rate constants; surface diffusion; chemisorption; polymers; microorganisms; biochemistry; reaction kinetics
Subjects:A - C > Biology and other natural sciences
O - Z > Statistical mechanics, structure of matter
O - Z > Probability theory and stochastic processes
Research Groups:Oxford Centre for Industrial and Applied Mathematics
Centre for Mathematical Biology
ID Code:302
Deposited By: Jon Chapman
Deposited On:16 May 2007
Last Modified:29 May 2015 18:19

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