dorsal/arxiv
View SchemaWhat is the time scale of random sequential adsorption?
| Authors | Radek Erban, S. Jonathan Chapman |
|---|---|
| Categories | |
| ArXiv ID | physics/0611252 |
| URL | https://arxiv.org/abs/physics/0611252 |
| DOI | 10.1103/PhysRevE.75.041116 |
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 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.
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"abstract": "A simple multiscale approach to the diffusion-driven adsorption from a\nsolution to a solid surface is presented. The model combines two important\nfeatures of the adsorption process: (i) the kinetics of the chemical reaction\nbetween adsorbing molecules and the surface; and (ii) geometrical constraints\non the surface made by molecules which are already adsorbed. The process (i) is\nmodelled in a diffusion-driven context, i.e. the conditional probability of\nadsorbing a molecule provided that the molecule hits the surface is related to\nthe macroscopic surface reaction rate. The geometrical constraint (ii) is\nmodelled using random sequential adsorption (RSA), which is the sequential\naddition of molecules at random positions on a surface; one attempt to attach a\nmolecule is made per one RSA simulation time step. By coupling RSA with the\ndiffusion of molecules in the solution above the surface the RSA simulation\ntime step is related to the real physical time. The method is illustrated on a\nmodel of chemisorption of reactive polymers to a virus surface.",
"arxiv_id": "physics/0611252",
"authors": [
"Radek Erban",
"S. Jonathan Chapman"
],
"categories": [
"physics.chem-ph",
"q-bio.QM"
],
"doi": "10.1103/PhysRevE.75.041116",
"title": "What is the time scale of random sequential adsorption?",
"url": "https://arxiv.org/abs/physics/0611252"
},
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