论文标题
极地羊群和键障
Polar flock with bond disorder
论文作者
论文摘要
在这项研究中，我们引入了一个最小模型，用于在二维基板上收集极性自旋转颗粒（SPP），每个粒子都具有与邻居相互作用的能力不同的能力。 SPP通过从均匀分布获得每个粒子的短距离比对相互作用和相互作用强度相互作用。此外，通过引入排斥性相互作用来照顾SPP中的体积排除。我们表征了系统的稳态和动力学的有序稳态，以实现疾病的不同优势。我们发现该疾病的存在不会破坏系统中通常的远程顺序。令我们惊讶的是，我们注意到在存在疾病的情况下，密度聚类得到了增强。此外，该疾病导致形成不同相互作用强度的随机网络，这使得对齐变得较弱，并且导致动力学较慢。因此，这种疾病导致颗粒之间的凝聚力更大。此外，我们注意到在疾病存在下，有序状态的动力学仍然不受影响。随着动态增长指数的时间，定向有序的域和密度簇的大小随时间而增长，$ z_ {o} \ sim 2 $和$z_ρ\ sim 4 $。
In this study, we introduce a minimal model for a collection of polar self-propelled particles (SPPs) on a two-dimensional substrate where each particle has a different ability to interact with its neighbours. The SPPs interact through a short-range alignment interaction and interaction strength of each particle is obtained from a uniform distribution. Moreover, the volume exclusion among the SPPs is taken care of by introducing a repulsive interaction among them. We characterise the ordered steady state and kinetics of the system for different strengths of the disorder. We find that the presence of the disorder does not destroy the usual long-range ordering in the system. To our surprise, we note that the density clustering is enhanced in the presence of the disorder. Moreover, the disorder leads to the formation of a random network of different interaction strengths, which makes the alignment weaker and it results in the slower dynamics. Hence, the disorder leads to more cohesion among the particles. Furthermore, we note that the kinetics of the ordered state remains unaffected in the presence of the disorder. Size of orientationally ordered domains and density clusters grow with time with dynamic growth exponents $z_{o} \sim 2$ and $z_ρ \sim 4$, respectively.
