A thermostatistical approach to scale-free networks
João P. da Cruz,
Nuno A. M. Araújo,
Frank Raischel and
Pedro G. Lind
Additional contact information
João P. da Cruz: Closer Consulting Ltd, Knowledge Dock Business Centre, University of East London, 4-6 University Way, London E16 2RD, UK;
Nuno A. M. Araújo: Departamento de Física, Faculdade de Ciências, Universidade de Lisboa, P-1749-016 Lisboa, Portugal;
Frank Raischel: Instituto Dom Luiz, Faculdade de Ciências, 1749-016 University of Lisbon, Lisbon, Portugal
Pedro G. Lind: ForWind and Institute of Physics, University of Oldenburg, DE-26111 Oldenburg, Germany
International Journal of Modern Physics C (IJMPC), 2015, vol. 26, issue 06, 1-12
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.
Keywords: Networks; complex systems; criticality; nonequilibrium systems; 82.75.-k; 05.65.+b; 64.60.aq (search for similar items in EconPapers)
References: View complete reference list from CitEc
Citations View citations in EconPapers (1) Track citations by RSS feed
Downloads: (external link)
Access to full text is restricted to subscribers.
This item may be available elsewhere in EconPapers: Search for items with the same title.
Export reference: BibTeX
RIS (EndNote, ProCite, RefMan)
Persistent link: https://EconPapers.repec.org/RePEc:wsi:ijmpcx:v:26:y:2015:i:06:n:s0129183115500709
Ordering information: This journal article can be ordered from
Access Statistics for this article
International Journal of Modern Physics C (IJMPC) is currently edited by H. J. Herrmann
More articles in International Journal of Modern Physics C (IJMPC) from World Scientific Publishing Co. Pte. Ltd.
Series data maintained by Tai Tone Lim ().