English

Short-time dynamics in active systems: the Vicsek model

Statistical Mechanics 2022-06-29 v1 Biological Physics

Abstract

We study the short-time dynamics (STD) of the Vicsek model 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 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.

Keywords

Cite

@article{arxiv.2205.04436,
  title  = {Short-time dynamics in active systems: the Vicsek model},
  author = {M. Leticia Rubio Puzzo and Ernesto S. Loscar and Andres De Virgiliis and Tomas S. Grigera},
  journal= {arXiv preprint arXiv:2205.04436},
  year   = {2022}
}

Comments

12 pages, 5 figures

R2 v1 2026-06-24T11:11:49.578Z