TY  - JOUR
UR  - http://link.aps.org/doi/10.1103/PhysRevE.57.R6241
N2  - We present results of large scale numerical simulations of the Bak, Tang, and Wiesenfeld [Phys. Rev. Lett. 59, 381 (1987); Phys. Rev. A 38, 364 (1988)] sandpile model. We analyze the critical behavior of the model in Euclidean dimensions 2<~d<~6. We consider a dissipative generalization of the model and study the avalanche size and duration distributions for different values of the lattice size and dissipation. We find that the scaling exponents in d=4 significantly differ from mean-field predictions, thus suggesting an upper critical dimension dc>~5. Using the relations among the dissipation rate ? and the finite lattice size L, we find that a subset of the exponents displays mean-field values below the upper critical dimensions. This behavior is explained in terms of conservation laws.
JF  - Physical Review E
KW  - PACS: 64.60.Lx
KW  -  05.40.+j
KW  -  05.70.Ln

AV  - none
ID  - eprints1871
TI  - Mean-field behavior of the sandpile model below the upper critical dimension
Y1  - 1998/06//
SP  - R6241
A1  - Chessa, Alessandro
A1  - Marinari, Enzo
A1  - Vespignani, Alessandro
A1  - Zapperi, Stefano
SN  - 1539-3755
VL  - 57
PB  - American Physical Society
EP  - R6244
ER  -