| Full text | |
| Author(s): |
Total Authors: 2
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| Affiliation: | [1] Univ Sao Paulo, Inst Fis Sao Carlos, BR-13560970 Sao Paulo - Brazil
Total Affiliations: 1
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| Document type: | Journal article |
| Source: | EPL; v. 111, n. 5 SEP 2015. |
| Web of Science Citations: | 2 |
| Abstract | |
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) | |
| FAPESP's process: | 13/17131-0 - Explorations in Axelrod's model: non-equilibrium phase transitions, diffusion of innovations and collective computation |
| Grantee: | José Fernando Fontanari |
| Support Opportunities: | Regular Research Grants |