RANDOM SEQUENTIAL ADSORPTION ON A DASHED LINE
| Autor: | B. Bonnier, E. Pommiers, Y. Leroyer |
|---|---|
| Jazyk: | angličtina |
| Rok vydání: | 1995 |
| Předmět: |
Physics
Continuous modelling Condensed Matter (cond-mat) FOS: Physical sciences General Physics and Astronomy Statistical and Nonlinear Physics Jamming Condensed Matter Exponential function Random sequential adsorption Transition point Lattice (order) Statistical physics Car parking Mathematical Physics |
| Popis: | We study analytically and numerically a model of random sequential adsorption (RSA) of segments on a line, subject to some constraints suggested by two kinds of physical situations: - deposition of dimers on a lattice where the sites have a spatial extension; - deposition of extended particles which must overlap one (or several) adsorbing sites on the substrate. Both systems involve discrete and continuous degrees of freedom, and, in one dimension, are equivalent to our model, which depends on one length parameter. When this parameter is varied, the model interpolates between a variety of known situations : monomers on a lattice, "car-parking" problem, dimers on a lattice. An analysis of the long-time behaviour of the coverage as a function of the parameter exhibits an anomalous 1/t^2 approach to the jamming limit at the transition point between the fast exponential kinetics, characteristic of the lattice model, and the 1/t law of the continuous one. 14 pages (Latex) + 4 Postscript figures |
| Databáze: | OpenAIRE |
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