Critical Dynamics of Self-Organizing Eulerian Walkers

R. R. Shcherbakov; Vl. V. Papoyan; A. M. Povolotsky

doi:10.1103/PhysRevE.55.3686

Critical Dynamics of Self-Organizing Eulerian Walkers

Condensed Matter 2009-10-28 v1 adap-org Adaptation and Self-Organizing Systems

Authors: R. R. Shcherbakov , Vl. V. Papoyan , A. M. Povolotsky

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Abstract

The model of self-organizing Eulerian walkers is numerically investigated on the square lattice. The critical exponents for the distribution of a number of steps ( $\tau_l$ ) and visited sites ( $\tau_s$ ) characterizing the process of transformation from one recurrent configuration to another are calculated using the finite-size scaling analysis. Two different kinds of dynamical rules are considered. The results of simulations show that both the versions of the model belong to the same class of universality with the critical exponents $\tau_l=\tau_s=1.75\pm 0.1$ .

Keywords

critical phenomena random walk theory self-organized criticality

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@article{arxiv.cond-mat/9609006,
  title  = {Critical Dynamics of Self-Organizing Eulerian Walkers},
  author = {R. R. Shcherbakov and Vl. V. Papoyan and A. M. Povolotsky},
  journal= {arXiv preprint arXiv:cond-mat/9609006},
  year   = {2009}
}

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3 pages, 4 Postscript figures, RevTeX, additional information available at http://thsun1.jinr.dubna.su/~shcher

Critical Dynamics of Self-Organizing Eulerian Walkers

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