Issue |
EPL
Volume 111, Number 5, September 2015
|
|
---|---|---|
Article Number | 58001 | |
Number of page(s) | 5 | |
Section | Interdisciplinary Physics and Related Areas of Science and Technology | |
DOI | https://doi.org/10.1209/0295-5075/111/58001 | |
Published online | 18 September 2015 |
The nature of the continuous non-equilibrium phase transition of Axelrod's model
Instituto de Física de São Carlos, Universidade de São Paulo - Caixa Postal 369, 13560-970 São Carlos, São Paulo, Brazil
Received: 11 July 2015
Accepted: 24 August 2015
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 . Using Monte Carlo simulations and finite-size scaling we show that the mean density of cultural domains μ is an order parameter of the model that vanishes as
with
at the critical point. In addition, for the correlation length critical exponent we find
and for Fisher's exponent,
. 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.
PACS: 87.23.Ge – Dynamics of social systems / 89.75.Fb – Structures and organization in complex systems / 05.50.+q – Lattice theory and statistics (Ising, Potts, etc.)
© EPLA, 2015
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