Criticality and the onset of ordering in the standard Vicsek model

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 oc...

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Autores principales: Baglietto, Gabriel, Albano, Ezequiel Vicente, Candia, Julián Marcelo
Formato: Articulo
Lenguaje:Inglés
Publicado: 2012
Materias:
Acceso en línea:http://sedici.unlp.edu.ar/handle/10915/84649
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id I19-R120-10915-84649
record_format dspace
institution Universidad Nacional de La Plata
institution_str I-19
repository_str R-120
collection SEDICI (UNLP)
language Inglés
topic Física
Animal collective behaviour
Large-scale cooperative phenomena
Standard Vicsek model
spellingShingle Física
Animal collective behaviour
Large-scale cooperative phenomena
Standard Vicsek model
Baglietto, Gabriel
Albano, Ezequiel Vicente
Candia, Julián Marcelo
Criticality and the onset of ordering in the standard Vicsek model
topic_facet Física
Animal collective behaviour
Large-scale cooperative phenomena
Standard Vicsek model
description 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.
format Articulo
Articulo
author Baglietto, Gabriel
Albano, Ezequiel Vicente
Candia, Julián Marcelo
author_facet Baglietto, Gabriel
Albano, Ezequiel Vicente
Candia, Julián Marcelo
author_sort Baglietto, Gabriel
title Criticality and the onset of ordering in the standard Vicsek model
title_short Criticality and the onset of ordering in the standard Vicsek model
title_full Criticality and the onset of ordering in the standard Vicsek model
title_fullStr Criticality and the onset of ordering in the standard Vicsek model
title_full_unstemmed Criticality and the onset of ordering in the standard Vicsek model
title_sort criticality and the onset of ordering in the standard vicsek model
publishDate 2012
url http://sedici.unlp.edu.ar/handle/10915/84649
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AT candiajulianmarcelo criticalityandtheonsetoforderinginthestandardvicsekmodel
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