Polarization inhibits the phase transition of Axelrod's model
| Autor: | Alexis R. Hernández, Yamir Moreno, Carlos Gracia-Lázaro, Edgardo Brigatti |
|---|---|
| Rok vydání: | 2021 |
| Předmět: |
Physics
Phase transition Physics - Physics and Society Phase (waves) Finite system FOS: Physical sciences Percolation threshold Physics and Society (physics.soc-ph) Polarization (waves) 01 natural sciences 010305 fluids & plasmas 0103 physical sciences Thermodynamic limit Statistical physics 010306 general physics Stationary state |
| Zdroj: | Zaguán. Repositorio Digital de la Universidad de Zaragoza instname |
| ISSN: | 2470-0053 |
| Popis: | We study the effect of polarization in Axelrod's model of cultural dissemination. This is done through the introduction of a cultural feature that takes only two values, while the other features can present a larger number of possible traits. Our numerical results and mean-field approximations show that polarization reduces the characteristic phase transition of the original model to a finite-size effect, since at the thermodynamic limit only the ordered phase is present. Furthermore, for finite system sizes, the stationary state depends on the percolation threshold of the network where the model is implemented: a polarized phase is obtained for percolation thresholds below 1/2, a fragmented multicultural one otherwise. 7 pages, 5 figures |
| Databáze: | OpenAIRE |
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