Novel type of phase transition in a system of self-driven particles

T. Vicsek, A. Czirók, Eshel Ben-Jacob, Inon Cohen, Ofer Shochet

Research output: Contribution to journalArticle

3827 Citations (Scopus)

Abstract

A simple model with a novel type of dynamics is introduced in order to investigate the emergence of self-ordered motion in systems of particles with biologically motivated interaction. In our model particles are driven with a constant absolute velocity and at each time step assume the average direction of motion of the particles in their neighborhood with some random perturbation () added. We present numerical evidence that this model results in a kinetic phase transition from no transport (zero average velocity, |va|=0) to finite net transport through spontaneous symmetry breaking of the rotational symmetry. The transition is continuous, since |va| is found to scale as (c-) with 0.45.

Original languageEnglish
Pages (from-to)1226-1229
Number of pages4
JournalPhysical Review Letters
Volume75
Issue number6
DOIs
Publication statusPublished - 1995

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broken symmetry
perturbation
kinetics
symmetry
interactions

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  • Physics and Astronomy(all)

Cite this

Novel type of phase transition in a system of self-driven particles. / Vicsek, T.; Czirók, A.; Ben-Jacob, Eshel; Cohen, Inon; Shochet, Ofer.

In: Physical Review Letters, Vol. 75, No. 6, 1995, p. 1226-1229.

Research output: Contribution to journalArticle

Vicsek, T. ; Czirók, A. ; Ben-Jacob, Eshel ; Cohen, Inon ; Shochet, Ofer. / Novel type of phase transition in a system of self-driven particles. In: Physical Review Letters. 1995 ; Vol. 75, No. 6. pp. 1226-1229.
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