title: Criticality and the onset of ordering in the standard Vicsek model.
abstract: Experimental observations of animal collective behaviour have shown stunning evidence for the emergence of large-scale cooperative phenomena resembling phase transitions in physical systems. Indeed, quantitative studies have found scale-free correlations and critical behaviour consistent with the occurrence of continuous, second-order phase transitions. The standard Vicsek model (SVM), a minimal model of self-propelled particles in which their tendency to align with each other competes with perturbations controlled by a noise term, appears to capture the essential ingredients of critical flocking phenomena. In this paper, we review recent finite-size scaling and dynamical studies of the SVM, which present a full characterization of the continuous phase transition through dynamical and critical exponents. We also present a complex network analysis of SVM flocks and discuss the onset of ordering in connection with XY-like spin models.
authors: Instituto de Física de Líquidos y Sistemas Biológicos (CCT-CONICET-La Plata, UNLP), 59 Nro 789, 1900 La Plata, Argentina ; Departamento de Ciencias Básicas, Facultad de Ingeniería (UNLP), La Plata, Argentina.
authors: Gabriel
authors: G
authors: Baglietto
authors: Ezequiel V
authors: EV
authors: Albano
authors: Julián
authors: J
authors: Candia
keywords: animal collective behaviour; large-scale cooperative phenomena; standard Vicsek model