Avalanche and spreading exponents in systems with absorbing states

Miguel A. Munoz, Ronald Dickman, Alessandro Vespignani, Stefano Zapperi

Published 1998-11-19, updated 1999-03-01Version 2

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.