| Full text | |
| Author(s): |
Biral, Elias J. P.
;
Tilles, Paulo F. C.
;
Fontanari, Jose F.
Total Authors: 3
|
| Document type: | Journal article |
| Source: | JOURNAL OF STATISTICAL MECHANICS-THEORY AND EXPERIMENT; v. N/A, p. 10-pg., 2015-04-01. |
| Abstract | |
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) | |
| FAPESP's process: | 11/11386-1 - Analysis of the bonequilibrium phase transition of Axelrods model for cultural dissemination |
| Grantee: | Paulo Fernando Coimbra Tilles |
| Support Opportunities: | Scholarships in Brazil - Post-Doctoral |
| 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 |