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Open Access item Birth, death and diffusion of interacting particles

Authors:Hernández-García, Emilio
López, Cristóbal
Keywords:[PACS] Complex systems: Patterns, [PACS] Population dynamics and ecological pattern formation, [PACS] Fluctuation phenomena, random processes, noise, and Brownian motion, [PACS] Pattern selection; pattern formation
Issue Date:25-Nov-2005
Publisher:Institute of Physics Publishing
Citation:Journal of Physics: Condensed Matter 17: S4263-S4274 (2005)
Abstract: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.
Description:12 pages (final publisher version), 15 pages, 6 figures (attached post-print version).-- PACS nrs.: 89.75.Kd, 87.23.Cc, 05.40.-a, 47.54.+r.-- ArXiv pre-print available: http://arxiv.org/abs/cond-mat/0507418
Publisher version (URL):http://dx.doi.org/10.1088/0953-8984/17/49/019
URI:http://hdl.handle.net/10261/7484
ISSN:0953-8984
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Appears in Collections:(IFISC) Artículos

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