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 d(c) = 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.
Keywords
sandpile models, absorbing-state phase transition, driven models, fixed energy models
Subject Categories
Phase transformations (Statistical physics)
Disciplines
Physics
Publisher
American Physical Society
Publication Date
12-21-1998
Rights Information
©1998 American Physical Society
Rights Holder
American Physical Society
Permanent URL
Recommended Citation
Vespignani, A; Dickman, R; Munoz, M A.; and Zapperi, S, "Driving, conservation, and absorbing states in sandpiles" (1998). Physics Faculty Publications. Paper 212. http://hdl.handle.net/2047/d20002172
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Notes
Originally published in Physical Review Letters, v.81 no.25 (1998), pp.5676-5679. DOI:10.1103/PhysRevLett.81.5676. Dr. Vespignani is affiliated with Northeastern University as of the time of deposit.