Abstract
We analyze the effect of cultural drift, modeled as noise, in Axelrod’s model for the dissemination of culture. The disordered multicultural frozen configurations are found not to be stable. This general result is proven rigorously in [Formula presented] where the dynamics is described in terms of a Lyapunov potential. In [Formula presented] the dynamics is governed by the average relaxation time T of perturbations. Noise at a rate [Formula presented] induces monocultural configurations, whereas [Formula presented] sustains disorder. In the thermodynamic limit, the relaxation time diverges and global polarization persists in spite of a dynamics of local convergence.
| Original language | English |
|---|---|
| Number of pages | 1 |
| Journal | Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics |
| Volume | 67 |
| Issue number | 4 |
| DOIs | |
| Publication status | Published - Jan 1 2003 |
ASJC Scopus subject areas
- Statistical and Nonlinear Physics
- Mathematical Physics
- Condensed Matter Physics
- Physics and Astronomy(all)
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Klemm, K., Eguíluz, V. M., Toral, R., & Miguel, M. S. (2003). Global culture: A noise-induced transition in finite systems. Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics, 67(4). https://doi.org/10.1103/PhysRevE.67.045101