We use a phenomenological field theory, reflecting the symmetries and conservation laws of sandpiles, to compare the driven dissipative sandpile, widely studied in the context of self-organized criticality, with the corresponding fixed-energy model. The latter displays an absorbing-state phase transition with upper critical dimension dc = 4. We show that the driven model exhibits a fundamentally different approach to the critical point, and compute a subset of critical exponents. We present numerical simulations in support of our theoretical predictions

Driving, Conservation, and Absorbing States in Sandpiles / A. Vespignani, R. Dickman, M.A. Muñoz, S. Zapperi. - In: PHYSICAL REVIEW LETTERS. - ISSN 0031-9007. - 81:25(1998 Dec 21), pp. 5676-5679.

Driving, Conservation, and Absorbing States in Sandpiles

S. Zapperi
1998

Abstract

We use a phenomenological field theory, reflecting the symmetries and conservation laws of sandpiles, to compare the driven dissipative sandpile, widely studied in the context of self-organized criticality, with the corresponding fixed-energy model. The latter displays an absorbing-state phase transition with upper critical dimension dc = 4. We show that the driven model exhibits a fundamentally different approach to the critical point, and compute a subset of critical exponents. We present numerical simulations in support of our theoretical predictions
Self-organized criticality; critical-behavior; phase-transitions; model; exponents; lattice
Settore FIS/02 - Fisica Teorica, Modelli e Metodi Matematici
Settore FIS/03 - Fisica della Materia
21-dic-1998
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/2434/656517
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