Phase Transitions and superuniversality in the dynamics of a self-driven particle

Details Phase Transitions and superuniversality in the dynamics of a self-driven particle Phase Transitions and superuniversality in the dynamics of a self-driven particle

2006-07-20

arxiv.org/abs/cond-mat/0607521v1

Physical Review E 74, 011125 (2006)

Physics

Condensed Matter

Statistical Mechanics

14 pages, 4 figures

Scientific paper

10.1103/PhysRevE.74.011125

We study an active random walker model in which a particle's motion is determined by a self-generated field. The field encodes information about the particle's path history. This leads to either self-attractive or self-repelling behavior. For self-repelling behavior, we find a phase transition in the dynamics: when the coupling between the field and the walker exceeds a critical value, the particle's behavior changes from renormalized diffusion to one characterized by a diverging diffusion coefficient. The dynamical behavior for all cases is surprisingly independent of dimension and of the noise amplitude.

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