%V 80
%I American Physical Society
%O ? 1998 American Physical Society
%T Energy constrained sandpile models
%P 4217-4220
%R 10.1103/PhysRevLett.80.4217
%J Physical Review Letters
%X 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-free behavior at a critical value Ec 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.
%D 1998
%L eprints1870
%K PACS: 64.60.Lx, 05.40.+j, 05.70.Ln, 46.10.+z

%A Alessandro Chessa
%A Enzo Marinari
%A Alessandro Vespignani