Instituto de Física de Líquidos y Sistemas Biológicos (IFLySiB)-Universidad Nacional de La Plata and CONICET, Calle 59 n. 789, B1900BTE La Plata, Argentina.
CCT CONICET La Plata, Consejo Nacional de Investigaciones Científicas y Técnicas, La Plata, Argentina.
J Phys Condens Matter. 2022 Jun 10;34(31). doi: 10.1088/1361-648X/ac7429.
We study the short-time dynamics (STD) of the Vicsek model (VM) with vector noise. The study of STD has proved to be very useful in the determination of the critical point, critical exponents and spinodal points in equilibrium phase transitions. Here we aim is to test its applicability in active systems. We find that, despite the essential non-equilibrium characteristics of the VM (absence of detailed balance, activity), the STD presents qualitatively the same phenomenology as in equilibrium systems. From the STD one can distinguish whether the transition is continuous or discontinuous (which we have checked also computing the Binder cumulant). When the transition is continuous, one can determine the critical point and the critical exponents.
我们研究了带有向量噪声的 Vicsek 模型(VM)的短时动力学(STD)。STD 的研究已被证明在确定平衡相变中的临界点、临界指数和旋节线点方面非常有用。在这里,我们的目的是测试其在主动系统中的适用性。我们发现,尽管 VM 具有基本的非平衡特性(缺乏详细平衡、活性),但 STD 表现出与平衡系统相同的现象学。从 STD 中,人们可以区分相变是连续的还是不连续的(我们已经通过计算 Binder 累积量来检查)。当相变是连续的时,人们可以确定临界点和临界指数。