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

R. Grima*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

Abstract

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. (c) 2006 American Institute of Physics.

Original languageEnglish
Article number011125
Number of pages6
JournalPhysical Review E - Statistical, Nonlinear and Soft Matter Physics
Volume74
Issue number1
DOIs
Publication statusPublished - Jul 2006

Keywords

  • REINFORCED RANDOM-WALK
  • DIFFUSION
  • SYSTEMS

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