Abstract
We study two driven dynamical systems with conserved energy. The two automata contain the basic dynamical rules of the Bak, Tang, and Wiesenfeld sandpile model. In addition a global constraint on the energy contained in the lattice is imposed. In the limit of an infinitely slow driving of the system, the conserved energy E becomes the only parameter governing the dynamical behavior of the system. Both models show scale-fret behavior at a critical value E-c of the fixed energy. The scaling with respect to the relevant scaling field points out that the developing of critical correlations is in a different universality class than self-organized critical sandpiles. Despite this difference, the activity (avalanche) probability distributions appear to coincide with the one of the standard self-organized critical sandpile.
Keywords
sandpile models, driven dynamical systems, conserved energy
Subject Categories
Dynamics
Disciplines
Physics
Publisher
American Physical Society
Publication Date
5-11-1998
Rights Information
©1998 American Physical Society
Rights Holder
American Physical Society
Permanent URL
Recommended Citation
Chessa, A; Marinari, E; and Vespignani, A, "Energy constrained sandpile models" (1998). Physics Faculty Publications. Paper 215. http://hdl.handle.net/2047/d20002175
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Notes
Originally published in Physical Review Letters, v.80 no.19 (1998), pp.4217-4220. DOI:10.1103/PhysRevLett.80.4217. Dr. Vespignani is affiliated with Northeastern University as of the time of deposit.