相互作用极性时空模型中的极性域模式
Patterns of polar domains in a spatiotemporal model of interacting polarities
摘要：
已知在物理和生物系统中，极性场都表现出长距离模式。人们对这种模式背后的机制知之甚少。在这里，我们描述了极性场的动力学，使用一个原始的物理模型，概括了经典的自旋模型的晶格上，通过将相邻站点之间的极性分子的有效运输。我们占一个外部场和铁磁网站之间的相互作用，并规定使用两个不同的耗散类的系统的时间演化的非保守和保守的变量代表极性方向和幅度，分别。我们观察到两种主要类型的稳态配置-无序的配置和图案的高极性点周围的区域具有低极性-我们的模式和配置之间的过渡。我们的研究结果可能会提供替代图案生成机制的材料赋予极性场。
英文摘要：
Polarity fields are known to exhibit long distance patterns, in both physical and biological systems. The mechanisms behind such patterns are poorly understood. Here, we describe the dynamics of polarity fields using an original physical model that generalizes classical spin models on a lattice by incorporating effective transport of polarity molecules between neighboring sites. We account for an external field and for ferromagnetic interactions between sites and prescribe the time-evolution of the system using two distinct dissipative classes for non-conserved and conserved variables representing polarity orientation and magnitude, respectively. We observe two main types of steady-state configurations --disordered configurations and patterns of highly polar spots surrounded by regions with low polarity-- and we characterise patterns and transitions between configurations. Our results may provide alternative pattern-generating mechanisms for materials endowed with polarity fields.
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