Asymmetric dynamics and critical behavior in the BakSneppen model
Abstract
We investigate, using meanfield theory and simulation, the effect of asymmetry on the critical behavior and probability density of BakSneppen models. Two kinds of anisotropy are investigated: (i) different numbers of sites to the left and right of the central (minimum) site are updated and (ii) sites to the left and right of the central site are renewed in different ways. Of particular interest is the crossover from symmetric to asymmetric scaling for weakly asymmetric dynamics, and the collapse of data with different numbers of updated sites but the same degree of asymmetry. All nonsymmetric rules studied fall, independent of the degree of asymmetry, in the same universality class. Conversely, symmetric variants reproduce the exponents of the original model. Our results confirm the existence of two symmetrybased universality classes for extremal dynamics.
 Publication:

Physica A Statistical Mechanics and its Applications
 Pub Date:
 November 2004
 DOI:
 10.1016/j.physa.2004.04.133
 arXiv:
 arXiv:condmat/0408164
 Bibcode:
 2004PhyA..342..516G
 Keywords:

 Condensed Matter  Statistical Mechanics
 EPrint:
 14 pages, 8 figures, 1 table