Self Organization and Self Avoiding Limit Cycles
Statistical Mechanics
2015-03-24 v1
Abstract
A simple periodically driven system displaying rich behavior is introduced and studied. The system self-organizes into a mosaic of static ordered regions with three possible patterns, which are threaded by one-dimensional paths on which a small number of mobile particles travel. These trajectories are self-avoiding and non-intersecting, and their relationship to self-avoiding random walks is explored. Near the distribution of path lengths becomes power-law like up to some cutoff length, suggesting a possible critical state.
Keywords
Cite
@article{arxiv.1401.0897,
title = {Self Organization and Self Avoiding Limit Cycles},
author = {Daniel Hexner and Dov Levine},
journal= {arXiv preprint arXiv:1401.0897},
year = {2015}
}