Multifractality of self-avoiding walks on percolation clusters.
Multifractality of self-avoiding walks on percolation clusters.
复制标题
渗流簇上自回避行走的多重分形。
DOI：
10.1103/physrevlett.101.125701
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发表时间：
2008
影响因子：
8.6
通讯作者：
W. Janke
中科院分区：
文献类型：
--
作者：
V. Blavatska;W. Janke
我们考虑了空间维d= 2，3，4中渗流簇主干上的自回避行走.应用数值模拟，我们表明，整个多重分形谱的奇异性出现在探索的特殊性的模型。我们获得了一组临界指数的估计，这些指数决定了自避免行走所访问的渗透簇站点分布的高阶矩的标度律，与适当求和的场论的π =6-d扩展[H.- K. Janssen和O. Stenull，Phys.Rev.E75，020801（R）（2007）10.1103/PhysRevE.75.020801]。
We consider self-avoiding walks on the backbone of percolation clusters in space dimensions d=2,3,4. Applying numerical simulations, we show that the whole multifractal spectrum of singularities emerges in exploring the peculiarities of the model. We obtain estimates for the set of critical exponents that govern scaling laws of higher moments of the distribution of percolation cluster sites visited by self-avoiding walks, in a good correspondence with an appropriately summed field-theoretical epsilon=6-d expansion [H.-K. Janssen and O. Stenull, Phys. Rev. E 75, 020801(R) (2007)10.1103/PhysRevE.75.020801].