Criticality and the Onset of Ordering in the Standard Vicsek Model

Autor:	Baglietto, Gabriel, Albano, Ezequiel V., Candia, Julián
Rok vydání:	2012
Předmět:	Condensed Matter - Statistical Mechanics Condensed Matter - Disordered Systems and Neural Networks Physics - Computational Physics
Zdroj:	Interface Focus (2012) 2, 708
Druh dokumentu:	Working Paper
DOI:	10.1098/rsfs.2012.0021
Popis:	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. Comment: 15 pages, 4 figures. To appear in Interface Focus
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1206.2901 Zobrazit plný text záznamu View this record from Arxiv