弱非保守动力学对标量活性物质中图案形成的影响
Effect of Weak Non-Conservative Dynamics on Pattern Formation in Scalar Active Matter
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中文总结 AI 辅助
该研究通过在最小连续介质模型中引入反应项，揭示弱非保守动力学可阻止标量活性物质相分离的粗化、稳定非平衡微相分离态，且质量守恒弱破坏会改变活性相分离的非线性粗化动力学。
中文摘要 AI 辅助
细菌和细胞等生物系统会经历生长或降解过程，导致质量守恒出现弱破坏。我们通过在一个最小连续介质模型中引入反应项，研究这类弱非保守动力学如何影响标量活性物质中的相分离。通过数值模拟和线性稳定性分析，我们发现即使是弱非保守反应也能阻止粗化并稳定非平衡微相分离态。随着活性增加，系统会经历形态转变，从相互连接的迷宫状图案变为蠕虫状结构，最终变为孤立液滴。对关联函数和静态结构因子的定量分析揭示了明确定义的稳态特征长度。对所得相的定性分析表明，非保守反应主要促进微相分离并增强局部六角有序性，而活性则主要控制畴的形态。我们的结果表明，质量守恒的弱破坏从根本上改变了活性相分离的非线性粗化动力学，并为理解相关系统中的图案形成提供了一个最小框架。
英文摘要
Biological systems such as bacteria and cells undergo growth or degradation, resulting in weak violations of mass conservation. We investigate how such weak non-conservative dynamics affect phase separation in scalar active matter by incorporating a reaction term into a minimal continuum model. Through numerical simulations and linear stability analysis, we show that even weak non-conservative reactions arrest coarsening and stabilize nonequilibrium microphase-separated states. With increasing activity, the system undergoes a morphological transition from interconnected labyrinthine patterns to worm-like structures and eventually to isolated droplets. Quantitative analysis of the correlation function and static structure factor reveals a well-defined steady-state characteristic length. Qualitative analysis of the resulting phases shows that the non-conservative reaction primarily promotes microphase separation and enhances local hexagonal ordering, while activity predominantly controls the domain morphology. Our results demonstrate that weak violations of mass conservation fundamentally alter the nonlinear coarsening dynamics of active phase separation and provide a minimal framework for understanding pattern formation in related systems.
