论文标题
无噪声的Vicsek羊群中的信息传导和对流
Information conduction and convection in noiseless Vicsek flocks
论文作者
论文摘要
物理相互作用通常尊重某些对称性，例如互惠性和能量保存，这些对称性在粗粒度等温描述中生存。主动多体系统通常在粒子层面上本质上打破这种对称性，因此通常会由于信息交换而自然地解释其集体行为。在这里，我们从数值上研究信息如何通过最初的对准羊群从“领导者”粒子传播，这是由Vicsek模型描述的，没有噪声。在静态自旋晶格的低速极限中，我们发现纯粹的导电扩散，让人联想到传热。群的运动和异质性可以打破互惠和旋转保护。但是，对于群体的反应似乎更重要的是，分散关系在领导者的运动方向上获得了重大的对流贡献。
Physical interactions generally respect certain symmetries, such as reciprocity and energy conservation, which survive in coarse grained isothermal descriptions. Active many-body systems usually break such symmetries intrinsically, on the particle level, so that their collective behavior is often more naturally interpreted as a result of information exchange. Here, we study numerically how information spreads from a "leader" particle through an initially aligned flock, described by the Vicsek model without noise. In the low-speed limit of a static spin lattice, we find purely conductive spreading, reminiscent of heat transfer. Swarm motility and heterogeneity can break reciprocity and spin conservation. But what seems more consequential for the swarm response is that the dispersion relation acquires a significant convective contribution along the leader's direction of motion.
