度量与拓扑集群中的非互易力与例外相变
软凝聚态物质
2023-09-19 v2
摘要
许多集群模型涉及基于相邻粒子平均取向的对齐规则，我们表明这引入了微观非互易相互作用。在缺乏此种微观非互易性时，在极性对齐物质的 Toner-Tu 框架内预言了低噪声强度下的例外相变；我们通过大规模数值模拟展示了该相变。通过对更常见集群模型中发现的微观非互易力进行粗粒化，我们识别了流体力学描述中的附加项，这些项在度量模型中导致高度有序的团簇相，并在拓扑模型中恢复了均匀集群相。
引用
@article{arxiv.2208.09461,
title = {Non-reciprocal forces and exceptional phase transitions in metric and topological flocks},
author = {Charles Packard and Daniel M. Sussman},
journal= {arXiv preprint arXiv:2208.09461},
year = {2023}
}
备注
We have found an important bug in the code used to implement the simulations described in this work. We have fixed the bug but cannot yet verify that the numerical claims made are correct