Growing Cayley trees described by a Fermi distribution

Growing Cayley trees described by a Fermi distribution
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DOI:
10.1103/physreve.66.036116
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发表时间:
2002-09-01
期刊:
影响因子:
2.4
通讯作者:
Bianconi, G
Bianconi, G
中科院分区:
物理与天体物理3区
文献类型:
--
作者:
Bianconi, G

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在不断增长的凯莱树与热噪声,我们表明,键强度(能量)的分布所描述的费米统计。在T->0和T->无穷大的极限下,这些等级网络的演化分别归结为Eden模型和入侵渗流模型。我们讨论了目前的结果与玻色统计描述的无标度网络的关系。
In growing Cayley trees with thermal noise we show that the distribution of the bond strengths (energies) is described by the Fermi statistics. The evolution of these hierarchical networks reduces to the Eden model and the invasion percolation model in the limits T-->0 and T-->infinity, respectively. We discuss the relation of the present results with the scale-free networks described by Bose statistics.