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

J.C. Villegas-Febres and W. Olivares-Rivas

Physica A: Statistical Mechanics and its Applications, 2008, vol. 387, issue 14, 3701-3707

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.

Keywords: Socio-chemistry; Social influence; Axelrod model; Social temperature (search for similar items in EconPapers)
Date: 2008
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:387:y:2008:i:14:p:3701-3707

DOI: 10.1016/j.physa.2008.02.001

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