Self-organization and self-avoiding limit cycles
Department of Physics, Technion-IIT - 32000 Haifa, Israel
Received: 16 November 2014
Accepted: 23 January 2015
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.
PACS: 05.65.+b – Self-organized systems / 74.40.Gh – Nonequilibrium superconductivity
© EPLA, 2015