Criticality and the Onset of Ordering in the Standard Vicsek Model

Abstract

Experimental observations of animal collective behavior 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 behavior 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.

15 pages, 4 figures. To appear in Interface Focus

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Cited by in corpus (5)

• Density regulation in strictly metric-free swarms
• Coarsening Dynamics in the Vicsek Model of Active Matter
• The collective motion of self-propelled particles affected by the spatial-dependent noise
• Self-Propelled Collective Motion with Multiplicative Scalar Noise
• Individual particle persistence antagonizes global ordering in populations of nematically-aligning self-propelled particles