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Phase Transitions, Patterns and Statistical Mechanics of Front Propagation in a Dynamic Random Impurity Model for Strip, Unusual Trees and Other Geometries

Published online by Cambridge University Press:  10 February 2011

N. Vandewalle  and
M. Ausloos
N. Vandewalle
Affiliation:
SUPRAS, Institut de Physique B5, Université de Liège, B-4000 Liège, Belgium
M. Ausloos
Affiliation:
SUPRAS, Institut de Physique B5, Université de Liège, B-4000 Liège, Belgium
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Abstract

A dynamic random impurity model is studied lor describing the evolution of an advancing interface through a multiphase random medium containing mobile impurities. A short range repulsion between the Iront and the impurities leads to an aggregation process along the front, and to the trapping of aggregates behind the front. The patterns of trapped impurities are found to be self-organized. Some theoretical treatment is performed through a transfer matrix technique in various geometries: trees with loops instead of branches, chains of squares and triangles joined by vertices. Arguments are given for applications of such concepts, techniques and models in various cases: chemistry, biology, trafic, sociology, economy,…

Type
Research Article
Information
MRS Online Proceedings Library (OPL) , Volume 463: Symposia EE – Statistical Mechanics in Physics and Biology , 1996 , 287
Copyright
Copyright © Materials Research Society 1997

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References

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