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Gregarious vs Individualistic Behavior in Vicsek Swarms and the Onset of First-Order Phase Transitions | | Gabriel Baglietto
; Ezequiel V. Albano
; Julián Candia
; | | Date: |
25 Mar 2013 | | Abstract: | The Standard Vicsek Model (SVM) is a minimal nonequilibrium model of
self-propelled particles that appears to capture the essential ingredients of
critical flocking phenomena. In the SVM, particles tend to align with each
other and form ordered flocks of collective motion; however, perturbations
controlled by a noise term lead to a noise-driven, continuous order-disorder
phase transition. In this work, we extend the SVM by introducing a parameter
$alpha$ that allows particles to be individualistic instead of gregarious,
i.e. to choose a direction of motion independently of their neighbors. By
focusing on the small-noise regime, we show that a relatively small probability
of individualistic motion (around 10%) is sufficient to drive the system from a
Vicsek-like ordered phase to a disordered phase. Despite the fact that the
$alpha-$extended Model preserves the O(n) symmetry, the interaction range, as
well as the dimensionality of the underlying SVM, this novel phase transition
is found to be discontinuous (first-order), an intriguing manifestation of the
richness of the nonequilibrium flocking/swarming phenomenon. | | Source: | arXiv, 1303.6315 | | Services: | Forum | Review | PDF | Favorites | |
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