The conventional Hamming distance measurement captures only short-time dynamics of the displacement between uncorrelated random configurations. The minimum difference technique introduced by Tirnakli and Lyra [U. Tirnakli, M.L. Lyra. Int. J. Mod. Phys. C 14 (2003) 805] is used to study...

The correlations in the Bak–Sneppen (BS) model are studied from fluctuations of three variables with detrended fluctuation analysis method. Similar scaling behaviors of the detrended fluctuations are found for the series of the minimum fitness in one- and two-dimensional (1D and 2D) BS models....

We investigate, using mean-field theory and simulation, the effect of asymmetry on the critical behavior and probability density of Bak–Sneppen 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...

We report a simple method to accurately determine the threshold and the exponent ν of the Bak–Sneppen (BS) model and also investigate the BS universality class. For the random-neighbor version of the BS model, we find the threshold x∗=0.33332(3), in agreement with the exact result x∗=13...

A model for economic behavior, under heterogeneous spatial economic conditions is developed. The role of selection pressure in a Bak–Sneppen-like dynamics with entity diffusion on a lattice is studied by Monte-Carlo simulation taking into account business rule(s), like enterprise–enterprise...

In this work, the short-time dynamics of the isotropic and anisotropic versions of the Bak–Sneppen (BS) model has been investigated using the standard damage spreading technique. Since the system sizes attained in our simulations are larger than the ones employed in previous studies, our...