Some more sandpiles
- 1 January 1990
- journal article
- Published by EDP Sciences in Journal de Physique
- Vol. 51 (11) , 1077-1098
- https://doi.org/10.1051/jphys:0199000510110107700
Abstract
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 = 3Keywords
This publication has 9 references indexed in Scilit:
- Large-scale simulation of avalanche cluster distribution in sand pile modelJournal of Statistical Physics, 1990
- Exactly solved model of self-organized critical phenomenaPhysical Review Letters, 1989
- The physics of fractalsPhysica D: Nonlinear Phenomena, 1989
- Dissipative transport in open systems: An investigation of self-organized criticalityPhysical Review Letters, 1989
- A physicist's sandboxJournal of Statistical Physics, 1989
- Critical Exponents and Scaling Relations for Self-Organized Critical PhenomenaPhysical Review Letters, 1988
- Self-organized criticality: An explanation of the 1/fnoisePhysical Review Letters, 1987
- Integral representation for the dimensionally renormalized Feynman amplitudeCommunications in Mathematical Physics, 1981
- Low-frequency fluctuations in solids:noiseReviews of Modern Physics, 1981