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dc.contributor.authorRamos, Franciscoen_US
dc.contributor.authorLópez, Cristóbalen_US
dc.contributor.authorHernández-García, Emilioen_US
dc.contributor.authorMuñoz, Miguel A.en_US
dc.date.accessioned2008-07-22T15:31:48Z-
dc.date.available2008-07-22T15:31:48Z-
dc.date.issued2008-02-06en_US
dc.identifier.citationPhysical Review E 77, 021102 (2008)en_US
dc.identifier.issn1539-3755-
dc.identifier.urihttp://hdl.handle.net/10261/6150-
dc.description12 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.en_US
dc.description.abstractMotivated 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.en_US
dc.description.sponsorshipThis work was supported in part by the Spanish projects FIS2005-00791 and FIS2004-00953 (Ministerio de Educación y Ciencia), FQM-165 (Junta de Andalucía), and the European Commission through the NESTComplexity project PATRES (043268).-
dc.format.extent2373 bytes-
dc.format.extent848151 bytes-
dc.format.mimetypetext/plain-
dc.format.mimetypeapplication/pdf-
dc.language.isoeng-
dc.publisherAmerican Physical Society-
dc.rightsopenAccess-
dc.source.urihttp://dx.doi.org/10.1103/PhysRevE.77.021102-
dc.subjectBrownian motion-
dc.subjectCrystallisation-
dc.subjectFreezing-
dc.subjectMelting-
dc.subjectMicroorganisms-
dc.titleCrystallization and melting of bacteria colonies and Brownian bugsen_US
dc.typeartículoen_US
dc.identifier.doihttp://dx.doi.org/10.1103/PhysRevE.77.021102-
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