Birth, death and diffusion of interacting particles

Details Birth, death and diffusion of interacting particles Birth, death and diffusion of interacting particles

2005-07-18

arxiv.org/abs/cond-mat/0507418v1

J. Phys.: Condens. Matter 17 (2005) S4263-S4274

Physics

Condensed Matter

Statistical Mechanics

15 pages, 6 figures, Iop style. To appear in Journal of Physics A: Condensed matter

Scientific paper

10.1088/0953-8984/17/49/019

Individual-based models of chemical or biological dynamics usually consider individual entities diffusing in space and performing a birth-death type dynamics. In this work we study the properties of a model in this class where the birth dynamics is mediated by the local, within a given distance, density of particles. Groups of individuals are formed in the system and in this paper we concentrate on the study of the properties of these clusters (lifetime, size, and collective diffusion). In particular, in the limit of the interaction distance approaching the system size, a unique cluster appears which helps to understand and characterize the clustering dynamics of the model.

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