IDEAS home Printed from https://ideas.repec.org/a/eee/phsmap/v387y2008i14p3701-3707.html
   My bibliography  Save this article

The existence of negative absolute temperatures in Axelrod’s social influence model

Author

Listed:
  • Villegas-Febres, J.C.
  • Olivares-Rivas, W.

Abstract

We introduce the concept of temperature as an order parameter in the standard Axelrod’s social influence model. It is defined as the relation between suitably defined entropy and energy functions, T=(∂S/∂E)−1. We show that at the critical point, where the order/disorder transition occurs, this absolute temperature changes in sign. At this point, which corresponds to the transition homogeneous/heterogeneous culture, the entropy of the system shows a maximum. We discuss the relationship between the temperature and other properties of the model in terms of cultural traits.

Suggested Citation

  • Villegas-Febres, J.C. & Olivares-Rivas, W., 2008. "The existence of negative absolute temperatures in Axelrod’s social influence model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 387(14), pages 3701-3707.
    • Handle: RePEc:eee:phsmap:v:387:y:2008:i:14:p:3701-3707
    DOI: 10.1016/j.physa.2008.02.001
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S037843710800143X
    Download Restriction: Full text for ScienceDirect subscribers only. Journal offers the option of making the article available online on Science direct for a fee of $3,000
    File URL: https://libkey.io/10.1016/j.physa.2008.02.001?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.

    References listed on IDEAS

    as
    1. Ball, Philip, 2002. "The physical modelling of society: a historical perspective," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 314(1), pages 1-14.
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Victor M. Yakovenko, 2007. "Econophysics, Statistical Mechanics Approach to," Papers 0709.3662, arXiv.org, revised Aug 2008.
    2. Jerker Denrell & Christina Fang & Chengwei Liu, 2015. "Perspective—Chance Explanations in the Management Sciences," Organization Science, INFORMS, vol. 26(3), pages 923-940, June.
    3. Anirban Chakraborti & Dhruv Raina & Kiran Sharma, 2016. "Can an interdisciplinary field contribute to one of the parent disciplines from which it emerged?," Papers 1605.08354, arXiv.org.
    4. Oliveira, Igor V.G. & Wang, Chao & Dong, Gaogao & Du, Ruijin & Fiore, Carlos E. & Vilela, André L.M. & Stanley, H. Eugene, 2024. "Entropy production on cooperative opinion dynamics," Chaos, Solitons & Fractals, Elsevier, vol. 181(C).
    5. Mario Paolucci & Jaime Simão Sichman, 2014. "Reputation to understand society," Computational and Mathematical Organization Theory, Springer, vol. 20(2), pages 211-217, June.
    6. Rodríguez, Ricardo A. & Herrera, Ada M. & Riera, Rodrigo & Santander, Jacobo & Miranda, Jezahel V. & Quirós, Ángel & Fernández-Rodríguez, María J. & Fernández-Palacios, José M. & Otto, Rüdiger & Escud, 2015. "Distribution of species diversity values: A link between classical and quantum mechanics in ecology," Ecological Modelling, Elsevier, vol. 313(C), pages 162-180.
    7. Jo~ao P. da Cruz & Pedro G. Lind, 2011. "The dynamics of financial stability in complex networks," Papers 1103.0717, arXiv.org, revised Jan 2013.
    8. Aleksejus Kononovicius, 2017. "Empirical Analysis and Agent-Based Modeling of the Lithuanian Parliamentary Elections," Complexity, Hindawi, vol. 2017, pages 1-15, November.
    9. Cristian Valeriu STANCIU & Cristi SPULBAR & Sabin RIZESCU, 2012. "Econophysics - related Remarks in Considering the Necessity of a Distribution Adjustment in the Eurozone Real Economy and Re-modeling its Financial System and Markets. Thermodynamics and Statistical P," Journal of Knowledge Management, Economics and Information Technology, ScientificPapers.org, vol. 2(1), pages 1-9, February.
    10. Victor M. Yakovenko & J. Barkley Rosser, 2009. "Colloquium: Statistical mechanics of money, wealth, and income," Papers 0905.1518, arXiv.org, revised Dec 2009.

    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:eee:phsmap:v:387:y:2008:i:14:p:3701-3707. 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.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with 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: Catherine Liu (email available below). General contact details of provider: http://www.journals.elsevier.com/physica-a-statistical-mechpplications/ .

    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.