Bak-Sneppen model: Local equilibrium and critical value
نویسندگان
چکیده
منابع مشابه
Local equilibrium in the Bak-Sneppen model
The Bak Sneppen (BS) model is a very simple model that exhibits all the richness of self-organized criticality theory. At the thermodynamic limit, the BS model converges to a situation where all particles have a fitness that is uniformly distributed between a critical value pc and 1. The pc value is unknown, as are the variables that influence and determine this value. Here, we study the Bak Sn...
متن کاملAsymmetric dynamics and critical behavior in the Bak-Sneppen model
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 (ii) sites to the left and right of the central site are renewed in different ways. Of particular intere...
متن کاملBak - Sneppen Model
R. Cafiero, P. De Los Rios, A. Valleriani, and J. L. Vega 1 P.M.M.H., Ecole Supérieure de Physique et de chimie Industrielles, 10, rue Vaquelin, 75231 Paris, France. 2 Institut de Physique Theorique, Université de Fribourg, CH-1700 Fribourg, Switzerland. 3 Max-Planck-Institute of Colloids and Interfaces Theory Division Kantstrasse 55, D-14513 Teltow-Seehof, Germany 4 BANCOTEC GmbH, Calwerstraße...
متن کاملCritical exponents of the anisotropic Bak-Sneppen model
We analyze the behavior of the spatially anisotropic Bak-Sneppen model. We demonstrate that a nontrivial relation between critical exponents t and m5d/D , recently derived for the isotropic Bak-Sneppen model, holds for its anisotropic version as well. For the one-dimensional anisotropic Bak-Sneppen model, we derive an exact equation for the distribution of avalanche spatial sizes, and extract t...
متن کاملCritical values in Bak-Sneppen type models
In the Bak–Sneppen model, the lowest fitness particle and its two nearest neighbors are renewed at each temporal step with a uniform (0,1) fitness distribution. The model presents a critical value that depends on the interaction criteria (two nearest neighbors) and on the update procedure (uniform). Here we calculate the critical value for models where one or both properties are changed. We stu...
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ژورنال
عنوان ژورنال: Physical Review E
سال: 2018
ISSN: 2470-0045,2470-0053
DOI: 10.1103/physreve.97.042123