Emilio Hernández-García and Cristóbal López 2005 J. Phys.: Condens. Matter 17 S4263 doi:10.1088/0953-8984/17/49/019
Emilio Hernández-García and Cristóbal López
Show affiliationsIndividual-entity-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 us to understand and characterize the clustering dynamics of the model.
87.23.Cc Population dynamics and ecological pattern formation
Issue 49 (14 December 2005)
Received 8 July 2005
Published 25 November 2005
Emilio Hernández-García and Cristóbal López 2005 J. Phys.: Condens. Matter 17 S4263
Ana-Maria Popa et al 2009 Nanotechnology 20 485303
Yong Jiang et al 2009 J. Phys.: Conf. Ser. 190 012106
Sergei G Matinyan and Berndt Müller 2006 J. Phys. A: Math. Gen. 39 L285
T A Fedorova et al 2000 J. Phys. B: At. Mol. Opt. Phys. 33 5007
P Q Wang et al 2005 J. Phys. B: At. Mol. Opt. Phys. 38 L251
Maria Lugaro et al. 2004 ApJ 615 934
Jiseok Lim and Shinill Kang 2009 J. Micromech. Microeng. 19 125001
C E Patton and Yi-hua Liu 1983 J. Phys. C: Solid State Phys. 16 5995
R Frahm et al 2009 J. Phys.: Conf. Ser. 190 012040