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.

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.

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

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