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Crystallization and melting of bacteria colonies and Brownian bugs

AutorRamos, Francisco; López, Cristóbal ; Hernández-García, Emilio ; Muñoz, Miguel A.
Palabras claveBrownian motion
Crystallisation
Freezing
Melting
Microorganisms
Fecha de publicación6-feb-2008
EditorAmerican Physical Society
CitaciónPhysical Review E 77, 021102 (2008)
ResumenMotivated 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.
Descripción12 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.
URIhttp://hdl.handle.net/10261/6150
DOI10.1103/PhysRevE.77.021102
ISSN1539-3755
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