论文标题
公制和拓扑羊群中的非转录力和特殊的相变
Non-reciprocal forces and exceptional phase transitions in metric and topological flocks
论文作者
论文摘要
许多羊群模型涉及基于相邻粒子的平均方向的比对规则，我们显示的是微观的非重生相互作用。在没有这种微观非股展的情况下，在极性比对物质的碳音-TU框架内预测，在低噪声强度下进行特殊的相变。我们通过大规模的数值模拟证明了这一过渡。通过在更常见的羊群模型中发现的显微镜非晶状体作用，我们在流体动力描述中确定了其他术语，该术语在公制模型中导致高度有序的聚类相，并恢复拓扑模型中的均匀羊群。
Many models of flocking involve alignment rules based on the mean orientation of neighboring particles, which we show introduces microscopic non-reciprocal interactions. In the absence of this microscopic non-reciprocity an exceptional phase transition is predicted at low noise strength within the Toner-Tu framework of polar aligning matter; we demonstrate this transition via large-scale numerical simulations. By coarse-graining the microscopic non-reciprocal forces found in more common models of flocking, we identify additional terms in a hydrodynamic description which lead to a highly ordered clustered phase in metric models and restore the homogeneous flocking phase in topological models.
