Avalanche and spreading exponents in systems with absorbing states
Statistical Mechanics
2009-10-31 v2
Abstract
We present generic scaling laws relating spreading critical exponents and avalanche exponents (in the sense of self-organized criticality) in general systems with absorbing states. Using these scaling laws we present a collection of the state-of-the-art exponents for directed percolation, dynamical percolation and other universality classes. This collection of results should help to elucidate the connections of self-organized criticality and systems with absorbing states. In particular, some non-universality in avalanche exponents is predicted for systems with many absorbing states.
Keywords
Cite
@article{arxiv.cond-mat/9811287,
title = {Avalanche and spreading exponents in systems with absorbing states},
author = {Miguel A. Munoz and Ronald Dickman and Alessandro Vespignani and Stefano Zapperi},
journal= {arXiv preprint arXiv:cond-mat/9811287},
year = {2009}
}
Comments
5 pages. Small changes, new references added