Work

Pattern formation and a clustering transition in power-law sequential adsorption

Year: 1999

Type: article

Abstract: We present a model that describes adsorption and clustering of particles on a surface. A clustering transition is found that 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, and plant and bacterial colonies, as well as gravitational clustering.

Source: Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics

DOI: 10.1103/physreve.59.r4713

Authors: Ofer Biham, Ofer Malcai, Daniel A. Lidar (Hamburger), David Avnir

Institutions: Hebrew University of Jerusalem, University of California, Berkeley

Language: English

Topic: Theoretical and Computational Physics

Subfield: Condensed Matter Physics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W2039437280

FWCI: 1.523

Cites: 29

Cited by: 8

Related to: 10