Dynamics of Eulerian walkers

Details Dynamics of Eulerian walkers Dynamics of Eulerian walkers

1998-02-06

arxiv.org/abs/cond-mat/9802070v1

Phys. Rev. E 58, 5449\^A?"5454 (1998)

Physics

Condensed Matter

Statistical Mechanics

8 pages in RevTeX, 4 PostScript figures

Scientific paper

10.1103/PhysRevE.58.5449

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 $\tau=2$ 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.

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