The nature of the continuous non-equilibrium phase transition of Axelrod's model

Autor(es)

Peres, Lucas R. ^[1] ; Fontanari, Jose F. ^[1]

Afiliação do(s) autor(es)

^[1] Univ Sao Paulo, Inst Fis Sao Carlos, BR-13560970 Sao Paulo - Brazil

• Tipo de documento: Artigo Científico
• Fonte: EPL; v. 111, n. 5 SEP 2015.
• Citações Web of Science: 2

Resumo

Axelrod's model in the square lattice with nearest-neighbors interactions exhibits culturally homogeneous as well as culturally fragmented absorbing configurations. In the case in which the agents are characterized by F = 2 cultural features and each feature assumes k states drawn from a Poisson distribution of parameter q, these regimes are separated by a continuous transition at q(c) = 3.10 +/- 0.02. Using Monte Carlo simulations and finite-size scaling we show that the mean density of cultural domains mu is an order parameter of the model that vanishes as mu similar to (q - q(c))(beta) with beta = 0.67 +/- 0.01 at the critical point. In addition, for the correlation length critical exponent we find v = 1.63 +/- 0.04 and for Fisher's exponent, tau = 1.76 +/- 0.01. This set of critical exponents places the continuous phase transition of Axelrod's model apart from the known universality classes of non-equilibrium lattice models. Copyright (C) EPLA, 2015 (AU)

• Processo FAPESP: 13/17131-0 - Estudos no modelo de Axelrod: transições de fase de não-equilíbrio, difusão de inovações, e computação coletiva
• Beneficiário: José Fernando Fontanari
• Modalidade de apoio: Auxílio à Pesquisa - Regular