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The consensus in the two-feature two-state one-dimensional Axelrod model revisited

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Autor(es):
Biral, Elias J. P. ; Tilles, Paulo F. C. ; Fontanari, Jose F.
Número total de Autores: 3
Tipo de documento: Artigo Científico
Fonte: JOURNAL OF STATISTICAL MECHANICS-THEORY AND EXPERIMENT; v. N/A, p. 10-pg., 2015-04-01.
Resumo

The Axelrod model for the dissemination of culture exhibits a rich spatial distribution of cultural domains, which depends on the values of the two model parameters: F, the number of cultural features and q, the common number of states each feature can assume. In the one-dimensional model with F = q = 2, which is closely related to the constrained voter model, Monte Carlo simulations indicate the existence of multicultural absorbing configurations in which at least one macroscopic domain coexist with a multitude of microscopic ones in the thermodynamic limit. However, rigorous analytical results for the infinite system starting from the configuration where all cultures are equally likely show convergence to only monocultural or consensus configurations. Here we show that this disagreement is due simply to the order that the time-asymptotic limit and the thermodynamic limit are taken in the simulations. In addition, we show how the consensus-only result can be derived using Monte Carlo simulations of finite chains. (AU)

Processo FAPESP: 11/11386-1 - Estudo das transições de fase de não-equilíbrio do modelo de Axelrod de disseminação cultural
Beneficiário:Paulo Fernando Coimbra Tilles
Modalidade de apoio: Bolsas no Brasil - Pós-Doutorado
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