Transitions in a self-propelled-particles model with coupling of accelerations

Péter Szabó, Máté Nagy, T. Vicsek

Research output: Contribution to journalArticle

24 Citations (Scopus)

Abstract

We consider a three-dimensional, generalized version of the original self-propelled-particles (SPP) model for collective motion. By extending the factors influencing the ordering, we investigate the case when the movement of the SPPs depends on both the velocity and the acceleration of the neighboring particles, instead of being determined solely by the former one. By changing the value of a weight parameter s determining the relative influence of the velocity and the acceleration terms, the system undergoes a kinetic phase transition as a function of a behavioral pattern. Below a critical value of s the system exhibits disordered motion, while above it the dynamics resembles that of the SPP model. We show that the critical value of the strategy variable could correspond to an evolutionary optimum in the sense that the information exchange between the units of the system is maximal in this point.

Original languageEnglish
Article number021908
JournalPhysical Review E - Statistical, Nonlinear, and Soft Matter Physics
Volume79
Issue number2
DOIs
Publication statusPublished - Feb 2 2009

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Critical value
Collective Motion
Phase Transition
Kinetics
Model
Three-dimensional
Unit
Motion
kinetics
Term
Movement
Influence
Strategy

ASJC Scopus subject areas

  • Condensed Matter Physics
  • Statistical and Nonlinear Physics
  • Statistics and Probability

Cite this

Transitions in a self-propelled-particles model with coupling of accelerations. / Szabó, Péter; Nagy, Máté; Vicsek, T.

In: Physical Review E - Statistical, Nonlinear, and Soft Matter Physics, Vol. 79, No. 2, 021908, 02.02.2009.

Research output: Contribution to journalArticle

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