Phase Transitions and superuniversality in the dynamics of a self-driven particle
Statistical Mechanics
2009-11-11 v1
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.
Keywords
Cite
@article{arxiv.cond-mat/0607521,
title = {Phase Transitions and superuniversality in the dynamics of a self-driven particle},
author = {R. Grima},
journal= {arXiv preprint arXiv:cond-mat/0607521},
year = {2009}
}
Comments
14 pages, 4 figures