A thermostatistical approach to scale-free networks

Autor:	da Cruz, João P., Araújo, Nuno A. M., Raischel, Frank, Lind, Pedro G.
Rok vydání:	2013
Předmět:	Physics - Physics and Society Condensed Matter - Statistical Mechanics Physics - Computational Physics
Druh dokumentu:	Working Paper
Popis:	We describe an ensemble of growing scale-free networks in an equilibrium framework, providing insight into why the exponent of empirical scale-free networks in nature is typically robust. In an analogy to thermostatistics, to describe the canonical and microcanonical ensembles, we introduce a functional, whose maximum corresponds to a scale-free configuration. We then identify the equivalents to energy, Zeroth-law, entropy and heat capacity for scale-free networks. Discussing the merging of scale-free networks, we also establish an exact relation to predict their final "equilibrium" degree exponent. All analytic results are complemented with Monte Carlo simulations. Our approach illustrates the possibility to apply the tools of equilibrium statistical physics to study the properties of growing networks, and it also supports the recent arguments on the complementarity between equilibrium and nonequilibrium systems. Comment: 6 pages, 5 figures
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1311.4075 Zobrazit plný text záznamu View this record from Arxiv