J. Phys. France
Volume 51, Numéro 11, juin 1990
|Page(s)||1077 - 1098|
Some more sandpilesP. Grassberger1 et S.S. Manna2
1 Physics Department, University of Wuppertal, D-5600 Wuppertal 1, Gauss-Strasse 20, F.R.G.
2 HLRZ, c/o Forschungszentrum (KFA) Jülich, D-5170 Jülich 1, F.R.G.
For the critical sandpile model of P. Bak et al., we present high statistics results obtained by a fast non-parallel algorithm. In particular, we give results for 2, 3, 4 and 5 dimensional hypercubic lattices, and for Bethe lattices. On the latter, the model is in the same universality class as (dynamic) percolation, but the upper critical dimension seems to be 4 instead of 6 as for percolation. Between d = 4 and d = 6, the model seems to correspond to branched true SAW's as suggested by Obukhov. But this breaks down definitely below d = 3.
0550 - Lattice theory and statistics (Ising, Potts, etc.).
0570J - Critical point phenomena.
critical phenomena -- lattice theory and statistics -- percolation