Global culture: A noise-induced transition in finite systems Export

@article{citeulike:5032004, 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 ≲ T -1 induces monocultural configurations; whereas r ≳ T -1 sustains disorder. In the thermodynamic limit; the relaxation time diverges and global polarization persists in spite of a dynamics of local convergence.}, author = {Klemm, Konstantin and Egu\'iluz, V\'ictor M. and Toral, Ra\'ul and San Miguel, Maxi}, citeulike-article-id = {5032004}, citeulike-linkout-0 = {http://dx.doi.org/10.1103/PhysRevE.67.045101}, citeulike-linkout-1 = {http://link.aps.org/abstract/PRE/v67/i4/e045101}, citeulike-linkout-2 = {http://link.aps.org/pdf/PRE/v67/i4/e045101}, doi = {10.1103/PhysRevE.67.045101}, journal = {Physical Review E}, keywords = {axelrod, culture, finite, noise}, month = {Apr}, number = {4}, pages = {045101+}, posted-at = {2009-07-01 12:46:09}, priority = {0}, publisher = {American Physical Society}, title = {Global culture: A noise-induced transition in finite systems}, url = {http://dx.doi.org/10.1103/PhysRevE.67.045101}, volume = {67}, year = {2003} }

TY - JOUR ID - citeulike:5032004 L3 - citeulike-article-id:5032004 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 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 ≲ T -1 induces monocultural configurations; whereas r ≳ T -1 sustains disorder. In the thermodynamic limit; the relaxation time diverges and global polarization persists in spite of a dynamics of local convergence. IS - 4 JF - Physical Review E TI - Global culture: A noise-induced transition in finite systems PB - American Physical Society VL - 67 SP - 045101 KW - axelrod KW - culture KW - finite KW - noise AU - Klemm, Konstantin AU - Egu\'iluz, V\'ictor AU - Toral, Ra\'ul AU - San Miguel, Maxi PY - 2003/Apr// UR - http://dx.doi.org/10.1103/PhysRevE.67.045101 ER -