Work

Dynamics of Eulerian walkers

Year: 1998

Type: article

Abstract: We investigate the dynamics of Eulerian walkers as a model of self-organized criticality. The evolution of the system is divided 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 $\ensuremath{\tau}=2$ 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 an underlying medium from a random state to the critical one is described.

Source: Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics

DOI: 10.1103/physreve.58.5449

Authors: A. M. Povolotsky, V. B. Priezzhev, R. R. Shcherbakov

Institution: Joint Institute for Nuclear Research

Language: English

Topic: Theoretical and Computational Physics

Subfield: Condensed Matter Physics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W2074843797

FWCI: 0.463

Cites: 15

Cited by: 27

Related to: 10