Self-organized criticality and the lattice topology

✍ Scribed by Alberto Saa

• Publisher: Elsevier Science
• Year: 1996
• Tongue: English
• Weight: 366 KB
• Volume: 227
• Category: Article
• ISSN: 0378-4371
• DOI: 10.1016/0378-4371(96)00010-6

✦ Synopsis

We examine exhaustively the behavior of avalanches in critical height sandpile models based in two-and three-dimensional lattices of various topologies. We get that for two-dimensional lattices the spatial and temporal distributions characterizing bulk avalanches do not depend on the lattice topology. For the three-dimensional case, we detect a small dependence of the topology for the temporal distribution, while the spatial ones are independent. The two-dimensional lattices studied are: the plane (R2), the cylinder (S 1 x R), and the M6bius-strip (M); and the three-dimensional are: R 3, S 1 x R 2, S 1 × S 1 × R, M x R, S 2 x R, K x R, and RP x R, where K and RP are, respectively, the Klein bottle and the real projective plane.