IDEAS home Printed from https://ideas.repec.org/a/wsi/ijmpcx/v26y2015i06ns0129183115500709.html
   My bibliography  Save this article

A thermostatistical approach to scale-free networks

Author

Listed:
  • João P. da Cruz

    (Closer Consulting Ltd, Knowledge Dock Business Centre, University of East London, 4-6 University Way, London E16 2RD, UK;
    Centro de Física Teórica e Computacional, Universidade de Lisboa, P-1749-016 Lisboa, Portugal)

  • Nuno A. M. Araújo

    (Departamento de Física, Faculdade de Ciências, Universidade de Lisboa, P-1749-016 Lisboa, Portugal;
    Centro de Física Teórica e Computacional, 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)

Abstract

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.

Suggested Citation

  • João P. da Cruz & Nuno A. M. Araújo & Frank Raischel & Pedro G. Lind, 2015. "A thermostatistical approach to scale-free networks," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 26(06), pages 1-12.
  • Handle: RePEc:wsi:ijmpcx:v:26:y:2015:i:06:n:s0129183115500709
    DOI: 10.1142/S0129183115500709
    as

    Download full text from publisher

    File URL: http://www.worldscientific.com/doi/abs/10.1142/S0129183115500709
    Download Restriction: Access to full text is restricted to subscribers

    File URL: https://libkey.io/10.1142/S0129183115500709?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Moghavvemi, Sedigheh & Ormond, Meghann & Musa, Ghazali & Mohamed Isa, Che Ruhana & Thirumoorthi, Thinaranjeney & Bin Mustapha, Mohd Zulkhairi & Kanapathy, Kanagi A./P. & Chiremel Chandy, Jacob John, 2017. "Connecting with prospective medical tourists online: A cross-sectional analysis of private hospital websites promoting medical tourism in India, Malaysia and Thailand," Tourism Management, Elsevier, vol. 58(C), pages 154-163.
    2. Di Marcoberardino, G. & Chiarabaglio, L. & Manzolini, G. & Campanari, S., 2019. "A Techno-economic comparison of micro-cogeneration systems based on polymer electrolyte membrane fuel cell for residential applications," Applied Energy, Elsevier, vol. 239(C), pages 692-705.
    3. Ozcan, Mustafa, 2018. "The role of renewables in increasing Turkey's self-sufficiency in electrical energy," Renewable and Sustainable Energy Reviews, Elsevier, vol. 82(P3), pages 2629-2639.
    4. Blanco, Victor & Holzhauer, Sascha & Brown, Calum & Lagergren, Fredrik & Vulturius, Gregor & Lindeskog, Mats & Rounsevell, Mark D.A., 2017. "The effect of forest owner decision-making, climatic change and societal demands on land-use change and ecosystem service provision in Sweden," Ecosystem Services, Elsevier, vol. 23(C), pages 174-208.
    5. Söder, Lennart & Lund, Peter D. & Koduvere, Hardi & Bolkesjø, Torjus Folsland & Rossebø, Geir Høyvik & Rosenlund-Soysal, Emilie & Skytte, Klaus & Katz, Jonas & Blumberga, Dagnija, 2018. "A review of demand side flexibility potential in Northern Europe," Renewable and Sustainable Energy Reviews, Elsevier, vol. 91(C), pages 654-664.

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:wsi:ijmpcx:v:26:y:2015:i:06:n:s0129183115500709. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    We have no bibliographic references for this item. You can help adding them by using this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Tai Tone Lim (email available below). General contact details of provider: http://www.worldscinet.com/ijmpc/ijmpc.shtml .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.