Dynamics of Eulerian walkers

Thumbnail Image

Date

Authors

Journal Title

Journal ISSN

Volume Title

Publisher

Abstract

Description

We investigate the dynamics of Eulerian walkers as a model of self-organized criticality. The evolution of the system is subdivided into characteristic periods which can be seen as avalanches. The structure of avalanches is described and the critical exponent in the distribution of first avalanches $τ=2$ is determined. We also study a mean square displacement of Eulerian walkers and obtain a simple diffusion law in the critical state. The evolution of underlying medium from a random state to the critical one is also described.
8 pages in RevTeX, 4 PostScript figures

Keywords

Statistical Mechanics

Citation

URI

http://salesiana.dossiersoluciones.com/handle/123456789/98009

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/cond-mat/9802070
 http://arxiv.org/abs/cond-mat/9802070
 Phys. Rev. E 58, 5449Â?"5454 (1998)
 doi:10.1103/PhysRevE.58.5449

Collections

arXiv