Some more sandpiles
Some more sandpiles
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DOI:
10.1051/jphys:0199000510110107700
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发表时间:
1990-06
期刊:
影响因子:
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通讯作者:
P. Grassberger;S. S. Manna-S.
中科院分区:
文献类型:
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作者:
P. Grassberger;S. S. Manna-S.
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