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

Andras Czirok·Albert-Laszlo Barabasi·Tamas Vicsek
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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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Andras Czirok, Albert-Laszlo Barabasi, Tamas Vicsek. 1997-12-15. Collective motion of self-propelled particles: kinetic phase transition in one dimension. https://arxiv.org/abs/cond-mat/9712154

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