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Title: | Crystallization and melting of bacteria colonies and Brownian bugs |
Authors: | Ramos, Francisco; López, Cristóbal ![]() ![]() |
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 |
DOI: | 10.1103/PhysRevE.77.021102 |
ISSN: | 1539-3755 |
Appears in Collections: | (IFISC) Artículos |
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