摘要翻译：
受培养皿中细菌菌落群的有序性和相关问题的启发，我们研究了一个简单的非平衡系统：基于个体的相互作用布朗虫模型中细菌群和模式的自发出现。我们把这个离散模型映射成一个连续的朗之万方程，这是我们广泛的数值分析的起点。对于二维情形，我们报告了局域活性团簇的自发产生，以及从无序或各向同性相到以六角形图案为特征的有序相的熔融/冻结转变。我们详细研究了平衡熔化理论与Kosterlitz-Thouless-Halperin-Nelson-Young理论的类比和区别，以及与另一个竞争理论的类比和区别。为此，我们研究了平移和方向的相关性，并进行了仔细的缺陷分析。我们发现一个非标准的单阶段，缺陷介导的，其性质只被部分阐明。
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英文标题：
《Crystallization and melting of bacteria colonies and Brownian Bugs》
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作者：
Francisco Ramos, Cristobal Lopez, E. Hernandez-Garcia, and Miguel A.
  Munoz
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最新提交年份：
2007
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分类信息：

一级分类：Physics        物理学
二级分类：Statistical Mechanics        统计力学
分类描述：Phase transitions, thermodynamics, field theory, non-equilibrium phenomena, renormalization group and scaling, integrable models, turbulence
相变，热力学，场论，非平衡现象，重整化群和标度，可积模型，湍流
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英文摘要：
  Motivated by the existence of remarkably ordered cluster arrays of bacteria colonies growing in Petri dishes and related problems, we study the spontaneous emergence of clustering and patterns in a simple nonequilibrium system: 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 elucidated.
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PDF链接：
https://arxiv.org/pdf/710.1771