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.
Avalanche and spreading exponents in systems with absorbing states / M.A. Muñoz, R. Dickman, A. Vespignani, S. Zapperi. - In: PHYSICAL REVIEW E. - ISSN 1063-651X. - 59:5(1999 May 01), pp. 6175-6179. [10.1103/PhysRevE.59.6175]
Avalanche and spreading exponents in systems with absorbing states
S. Zapperi
1999
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.File | Dimensione | Formato | |
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