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 predictionsFile | Dimensione | Formato | |
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