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.

Notes

Originally published in Physical Review E, v.59 no.5 (1999), pp.6175-6179. DOI:10.1103/PhysRevE.59.6175. Dr. Vespignani is affiliated with Northeastern University as of the time of deposit.

Keywords

absorbing states, avalanche exponents, critical exponents

Subject Categories

Scaling laws (Statistical physics)

Disciplines

Physics

Publisher

American Physical Society

Publication Date

5-1-1999

Rights Information

©1999 American Physical Society

Rights Holder

American Physical Society

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