Critical Dynamics of Self-Organizing Eulerian Walkers

Details Critical Dynamics of Self-Organizing Eulerian Walkers Critical Dynamics of Self-Organizing Eulerian Walkers

1996-08-31

arxiv.org/abs/cond-mat/9609006v1

Phys. Rev. E, v.55 (1997) 3686

Physics

Condensed Matter

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

Scientific paper

10.1103/PhysRevE.55.3686

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 $\tau_l=\tau_s=1.75\pm 0.1$.

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