Journal
PHYSICAL REVIEW E
Volume 62, Issue 1, Pages 295-298Publisher
AMERICAN PHYSICAL SOC
DOI: 10.1103/PhysRevE.62.295
Keywords
-
Categories
Ask authors/readers for more resources
We consider the Bak-Sneppen model near zero dimension, where the avalanche exponent tau is close to 1 and the exponents mu, and sigma are close to 0. We demonstrate that tau - 1 = mu - sigma= exp{-mu(-1)- gamma+...} in this limit, where gamma is Euler's constant. The avalanche hierarchy equation is rewritten in a form that makes it possible to find the relation between the critical exponents sigma and mu. with high accuracy. We obtain precise values of the critical exponents for the one and two-dimensional Bak-Sneppen model and for the one-dimensional anisotropic Bak-Sneppen model.
Authors
I am an author on this paper
Click your name to claim this paper and add it to your profile.
Reviews
Recommended
No Data Available