Bacterial range expansions on a growing front: Roughness, fixation, and directed percolation
Bacterial range expansions on a growing front: Roughness, fixation, and directed percolation
复制标题
细菌范围不断扩大：粗糙度、固定性和定向渗滤
DOI：
10.1103/physreve.99.042134
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发表时间：
2019
影响因子：
2.4
通讯作者：
Kardar, Mehran
中科院分区：
文献类型：
--
作者：
Horowitz, Jordan M.;Kardar, Mehran
定向渗流(DP)是一个经典的非平衡相变到单一吸收态的模型()。在不同的背景下，人们通过分析和数值技术对其进行了广泛的研究。最近，DP作为竞争细菌种群进化和生态动力学的通用模型出现。范围扩展-细菌竞争其后代占据的空间的随机繁殖-导致波动和粗糙的生长前沿，从实验和模拟得知，这影响DP转变的潜在临界行为。在这项工作中，我们利用对称性引理构造了一对描述表面粗糙度与DP合成场的协同演化的非线性随机偏微分方程组。讨论了这些方程在生长模式和射程扩展的谱系轨迹上的宏观表现(现象学)；然后对DP转变时可能的标度行为进行了重整化群分析。
Directed percolation(DP) is a classic model for nonequilibrium phase transitions into a single absorbing state (). It has been extensively studied by analytical and numerical techniques in diverse contexts. Recently, DP has appeared as a generic model for the evolutionary and ecological dynamics of competing bacterial populations.Range expansion—the stochastic reproduction of bacteria competing for space to be occupied by their progeny—leads to a fluctuating and roughgrowth front, which is known from experiment and simulation to affect the underlying critical behavior of the DP transition. In this work, we employ symmetry arguments to construct a pair of nonlinear stochastic partial differential equations describing the coevolution of surface roughness with the composition field of DP. Macroscopic manifestations (phenomenology) of these equations on growth patterns and genealogical tracks of range expansion are discussed; followed by a renormalization group analysis of possible scaling behaviors at the DP transition.