Scale free networks from a Hamiltonian dynamics

Details Scale free networks from a Hamiltonian dynamics Scale free networks from a Hamiltonian dynamics

2003-05-03

arxiv.org/abs/cond-mat/0305054v2

Phys. Rev. E 68, 047103 (2003)

Physics

Condensed Matter

Statistical Mechanics

4 pages, revtex4, 5 figures. v2: corrected statements about equilibrium

Scientific paper

10.1103/PhysRevE.68.047103

Contrary to many recent models of growing networks, we present a model with fixed number of nodes and links, where it is introduced a dynamics favoring the formation of links between nodes with degree of connectivity as different as possible. By applying a local rewiring move, the network reaches equilibrium states assuming broad degree distributions, which have a power law form in an intermediate range of the parameters used. Interestingly, in the same range we find non-trivial hierarchical clustering.

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