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Growing Cayley trees described by a Fermi distribution.

作者信息

Bianconi Ginestra

机构信息

Department of Physics, University of Notre Dame, Indiana 46556, USA.

出版信息

Phys Rev E Stat Nonlin Soft Matter Phys. 2002 Sep;66(3 Pt 2A):036116. doi: 10.1103/PhysRevE.66.036116. Epub 2002 Sep 19.

DOI:10.1103/PhysRevE.66.036116
PMID:12366193
Abstract

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.

摘要

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