Nonconservative abelian sandpile model with the bak-tang-wiesenfeld toppling rule
Nonconservative abelian sandpile model with the bak-tang-wiesenfeld toppling rule
A. Vazquez
2000 · DOI: 10.1103/PhysRevE.62.7797
Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics · 4 Citations
TLDR
It is shown that this nonconservative Abelian sandpile model with the Bah-Tang-Wiesenfeld toppling rule belongs to a universality class different from that of previous models considered in the literature.
Abstract
A nonconservative Abelian sandpile model with the Bah-Tang-Wiesenfeld toppling rule introduced by Tsuchiya and Katori [Phys. Rev. E 61, 1183 (2000)] is studied. Using a scaling analysis of the different energy scales involved in the model and numerical simulations it is shown that this model belongs to a universality class different from that of previous models considered in the literature.