Avalanche and spreading exponents in systems with absorbing states

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  • 19 November 1998
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-art exponents for directed percolation and dynamical percolation in different spatial dimensions, and for 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 sta

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