<> "The repository administrator has not yet configured an RDF license."^^ . <> . . . "Mean-field behavior of the sandpile model below the upper critical dimension"^^ . "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 ε 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."^^ . "1998-06" . "57" . . "American Physical Society"^^ . . . "Physical Review E"^^ . . . "15393755" . . . . . . . . . . . . . . . . "Enzo"^^ . "Marinari"^^ . "Enzo Marinari"^^ . . "Alessandro"^^ . "Chessa"^^ . "Alessandro Chessa"^^ . . "Alessandro"^^ . "Vespignani"^^ . "Alessandro Vespignani"^^ . . "Stefano"^^ . "Zapperi"^^ . "Stefano Zapperi"^^ . . . . . "HTML Summary of #1871 \n\nMean-field behavior of the sandpile model below the upper critical dimension\n\n" . "text/html" . . . "QC Physics"@en . .