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
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
Permanent URL
Recommended Citation
Munoz, M A.; Dickman, R; Vespignani, A; and Zapperi, S, "Avalanche and spreading exponents in systems with absorbing states" (1999). Physics Faculty Publications. Paper 210. http://hdl.handle.net/2047/d20002170
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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.