A statistical mechanics approach for scale-free networks and finite-scale networks
نویسندگان
چکیده
منابع مشابه
A statistical mechanics approach for scale-free networks and finite-scale networks.
We present a statistical mechanics approach for the description of complex networks. We first define an energy and an entropy, associated with a degree distribution, which have a geometrical interpretation. Next we evaluate the distribution that extremizes the free energy of the network. We find two important limiting cases: a scale-free degree distribution and a finite-scale degree distributio...
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‘aging’ scaling property typical of glassy dynamics when σ → 0. 4) A progression from normal diffusiveness to subdiffusive behavior and finally to a stop in the growth of the mean square displacement as demonstrated by the use of a repeated-cell map. (see Fig. 3) The existence of this analogy is perhaps not accidental since the limit of vanishing noise amplitude σ → 0 involves loss of ergodicity.
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Many complex natural and physical systems exhibit patterns of interconnection that conform, approximately, to a network structure referred to as scale-free. Preferential attachment is one of many algorithms that have been introduced to model the growth and structure of scale-free networks. With so many different models of scale-free networks it is unclear what properties of scale-free networks ...
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Based on a rigorous extension of classical statistical mechanics to networks, we study a specific microscopic network Hamiltonian. The form of this Hamiltonian is derived from the assumption that individual nodes increase or decrease their utility by linking to nodes with a higher or lower degree than their own. We interpret utility as an equivalent to energy in physical systems and discuss the...
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ژورنال
عنوان ژورنال: Chaos: An Interdisciplinary Journal of Nonlinear Science
سال: 2007
ISSN: 1054-1500,1089-7682
DOI: 10.1063/1.2720642