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Principles of statistical mechanics of random networks | | S.N. Dorogovtsev
; J.F.F. Mendes
; A.N. Samukhin
; | | Date: |
4 Apr 2002 | | Journal: | Nucl. Phys. B 666, 396 (2003) | | Subject: | Statistical Mechanics; Networking and Internet Architecture; Mathematical Physics; Adaptation and Self-Organizing Systems | cond-mat.stat-mech cs.NI hep-lat hep-th math-ph math.MP nlin.AO | | Abstract: | We develop a statistical mechanics approach for random networks with uncorrelated vertices. We construct equilibrium statistical ensembles of such networks and obtain their partition functions and main characteristics. We find simple dynamical construction procedures that produce equilibrium uncorrelated random graphs with an arbitrary degree distribution. In particular, we show that in equilibrium uncorrelated networks, fat-tailed degree distributions may exist only starting from some critical average number of connections of a vertex, in a phase with a condensate of edges. | | Source: | arXiv, cond-mat/0204111 | | Services: | Forum | Review | PDF | Favorites | |
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