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 |
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ASJC Scopus subject areas
- Statistical and Nonlinear Physics
- Mathematical Physics
- Condensed Matter Physics
- Physics and Astronomy(all)
Cite this
Global culture : A noise-induced transition in finite systems. / Klemm, Konstantin; Eguíluz, Víctor M.; Toral, Raúl; Miguel, Maxi San.
In: Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics, Vol. 67, No. 4, 01.01.2003.Research output: Contribution to journal › Article
}
TY - JOUR
T1 - Global culture
T2 - A noise-induced transition in finite systems
AU - Klemm, Konstantin
AU - Eguíluz, Víctor M.
AU - Toral, Raúl
AU - Miguel, Maxi San
PY - 2003/1/1
Y1 - 2003/1/1
N2 - 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.
AB - 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.
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U2 - 10.1103/PhysRevE.67.045101
DO - 10.1103/PhysRevE.67.045101
M3 - Article
VL - 67
JO - Physical review. E
JF - Physical review. E
SN - 2470-0045
IS - 4
ER -