Pattern Formation and a Clustering Transition in Power-Law Sequential Adsorption

Details Pattern Formation and a Clustering Transition in Power-Law Sequential Adsorption Pattern Formation and a Clustering Transition in Power-Law Sequential Adsorption

1999-08-15

arxiv.org/abs/cond-mat/9908215v1

Phys. Rev. E 59, R4713 (1999)

Physics

Condensed Matter

Statistical Mechanics

4 pages, 5 figures

Scientific paper

10.1103/PhysRevE.59.R4713

A new model that describes adsorption and clustering of particles on a surface is introduced. A {\it clustering} transition is found which separates between a phase of weakly correlated particle distributions and a phase of strongly correlated distributions in which the particles form localized fractal clusters. The order parameter of the transition is identified and the fractal nature of both phases is examined. The model is relevant to a large class of clustering phenomena such as aggregation and growth on surfaces, population distribution in cities, plant and bacterial colonies as well as gravitational clustering.

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