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Please use this identifier to cite or link to this item: http://hdl.handle.net/10261/6150
Title: Crystallization and melting of bacteria colonies and Brownian bugs
Authors: Ramos, Francisco; López, Cristóbal; Hernández-García, Emilio; Muñoz, Miguel A.
Keywords: Brownian motion
Issue Date: 6-Feb-2008
Publisher: American Physical Society
Citation: Physical Review E 77, 021102 (2008)
Abstract: Motivated by the existence of remarkably ordered cluster arrays of bacteria colonies growing in Petri dishes and other similar problems, we study the spontaneous emergence of clustering and patterns in a simple nonequilibrium model: the individual-based interacting Brownian bug model. We map this discrete model into a continuous Langevin equation which is the starting point for our extensive numerical analyses. For the two-dimensional case we report on the spontaneous generation of localized clusters of activity as well as a melting/freezing transition from a disordered or isotropic phase to an ordered one characterized by hexagonal patterns. We study in detail the analogies and differences with the well-established Kosterlitz-Thouless-Halperin-Nelson-Young theory of equilibrium melting, as well as with another competing theory. For that we study translational and orientational correlations and perform a careful defect analysis. We find a non standard one-stage, defect-mediated, transition whose nature is only partially uncovered.
Description: 12 pages.-- PACS numbers: 02.50.Ey, 05.10.Gg, 87.18.Ed.-- ArXiv pre-print: http://arxiv.org/abs/0710.1771.-- Final full-text version of the paper available at: http://dx.doi.org/10.1103/PhysRevE.77.021102.
URI: http://hdl.handle.net/10261/6150
ISSN: 1539-3755
DOI: 10.1103/PhysRevE.77.021102
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