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Open Access item Crystallization and melting of bacteria colonies and Brownian bugs

Authors:Ramos, Francisco
López, Cristóbal
Hernández-García, Emilio
Muñoz, Miguel A.
Keywords:Brownian motion, Crystallisation, Freezing, Melting, Microorganisms
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
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Appears in Collections:(IFISC) Artículos

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