Global culture: A noise-induced transition in finite systems

Konstantin Klemm; Víctor M. Eguíluz; Raúl Toral; Maxi San Miguel

doi:10.1103/PhysRevE.67.045101

Global culture: A noise-induced transition in finite systems

Konstantin Klemm, Víctor M. Eguíluz, Raúl Toral, Maxi San Miguel

Department of Computer Science

Research output: Contribution to journal › Article › peer-review

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	https://doi.org/10.1103/PhysRevE.67.045101
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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Global culture: A noise-induced transition in finite systems

Abstract

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