细菌菌落和布朗虫的结晶和熔化
Crystallization and melting of bacteria colonies and Brownian Bugs
摘要：
基于培养皿中生长的细菌菌落的有序簇阵列的存在及其相关问题，我们研究了一个简单的非平衡系统中簇和模式的自发出现：基于个体的相互作用布朗虫模型.我们将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。对于二维的情况下，我们报告的自发产生的本地集群的活动，以及从无序或各向同性相的熔融/冻结过渡到一个有序的特征在于由六边形图案。我们详细研究的类比和差异与完善的Kosterlitz，无核武器的Halperin-Nelson-Young理论的平衡熔化，以及与另一个竞争的理论。为此，我们研究了平移和取向相关性，并进行了仔细的缺陷分析。我们发现一个非标准的一阶段，缺陷介导的，过渡的性质只是部分阐明。
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.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
