Work

Global culture: A noise-induced transition in finite systems

Year: 2003

Type: article

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 d=1, where the dynamics is described in terms of a Lyapunov potential. In d=2, the dynamics is governed by the average relaxation time T of perturbations. Noise at a rate r <or=T(-1) induces monocultural configurations, whereas r > or =T(-1) sustains disorder. In the thermodynamic limit, the relaxation time diverges and global polarization persists in spite of a dynamics of local convergence.

Source: Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics

DOI: 10.1103/physreve.67.045101

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

Institutions: University of Copenhagen, Consejo Superior de Investigaciones Científicas, Mediterranean Institute for Advanced Studies, Universitat de les Illes Balears

Language: English

Topic: Opinion Dynamics and Social Influence

Subfield: Statistical and Nonlinear Physics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: bronze

OpenAlex ID: W2128767232

FWCI: 3.485

Cites: 14

Cited by: 213

Related to: 10