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arxiv: cond-mat/9811287 · v2 · submitted 1998-11-19 · ❄️ cond-mat.stat-mech

Avalanche and spreading exponents in systems with absorbing states

classification ❄️ cond-mat.stat-mech
keywords exponentsabsorbingstatessystemsavalanchecollectioncriticalitylaws
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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 non-universality in avalanche exponents is predicted for systems with many absorbing states.

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