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Título: | Birth, death and diffusion of interacting particles |
Autor: | Hernández-García, Emilio CSIC ORCID ; López, Cristóbal CSIC ORCID | Palabras clave: | [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 |
Fecha de publicación: | 25-nov-2005 | Editor: | Institute of Physics Publishing | Citación: | Journal of Physics: Condensed Matter 17: S4263-S4274 (2005) | Resumen: | 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. | Descripción: | 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 | Versión del editor: | http://dx.doi.org/10.1088/0953-8984/17/49/019 | URI: | http://hdl.handle.net/10261/7484 | DOI: | 10.1088/0953-8984/17/49/019 | ISSN: | 0953-8984 |
Aparece en las colecciones: | (IFISC) Artículos |
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