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Collective motion of self-propelled particles: kinetic phase transition in one dimension

1997/12/14 by Andras Czirok, András Czirók, Albert-Ĺaszló Barabási +6 · 1 citation
Engineering · Materials Science · Physics and Astronomy · #FOS: Physical sciences #Micro and Nano Robotics #Modular Robots and Swarm Intelligence #Pickering emulsions and particle stabilization #Statistical Mechanics (cond-mat.stat-mech) #cond-mat.stat-mech

paper · pdf · doi:10.48550/arxiv.cond-mat/9712154

4 pages, 5 figures

arxiv created 1997/12/15 · openalex publication_date 1997/12/15 · arxiv updated 2009/11/30 · openalex created_date 2022/10/02 · openalex updated_date 2026/07/28

Abstract

We demonstrate that a system of self-propelled particles (SPP) exhibits spontaneous symmetry breaking and self-organization in one dimension, in contrast with previous analytical predictions. To explain this surprising result we derive a new continuum theory that can account for the development of the symmetry broken state and belongs to the same universality class as the discrete SPP model.

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