Avalanche and spreading exponents in systems with absorbing states
- 1 May 1999
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review E
- Vol. 59 (5) , 6175-6179
- https://doi.org/10.1103/physreve.59.6175
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 nonuniversality in avalanche exponents is predicted for systems with many absorbing states.Keywords
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