Role of dimensionality in Axelrod's model for the dissemination of culture Export

@article{citeulike:1090947, abstract = {We analyze a model of social interaction in one- and two-dimensional lattices for a moderate number of features. We introduce an order parameter as a function of the overlap between neighboring sites. In a one-dimensional chain, we observe that the dynamics is consistent with a second-order transition, where the order parameter changes continuously and the average domain diverges at the transition point. However, in a two-dimensional lattice the order parameter is discontinuous at the transition point characteristic of a first-order transition between an ordered and a disordered state.}, author = {Klemm, K. and Eguiluz, V. and Toral, R. and Miguel, M.}, booktitle = {Proceedings of the XIIIth Conference on Nonequilibrium Statistical Mechanics and Nonlinear Physics}, citeulike-article-id = {1090947}, citeulike-linkout-0 = {http://dx.doi.org/10.1016/S0378-4371(03)00428-X}, citeulike-linkout-1 = {http://linkinghub.elsevier.com/retrieve/pii/S037843710300428X}, citeulike-linkout-2 = {http://www.sciencedirect.com/science/article/B6TVG-48XYFXM-1/2/0b675c18d86be4e3c44da32bcdfbe553}, day = {01}, doi = {10.1016/S0378-4371(03)00428-X}, issn = {03784371}, journal = {Physica A: Statistical Mechanics and its Applications}, keywords = {axelrod, culture, social\_influence}, month = {September}, number = {1-2}, pages = {1--5}, posted-at = {2009-06-30 10:47:16}, priority = {0}, title = {Role of dimensionality in Axelrod's model for the dissemination of culture}, url = {http://dx.doi.org/10.1016/S0378-4371(03)00428-X}, volume = {327}, year = {2003} }

TY - JOUR ID - citeulike:1090947 L3 - citeulike-article-id:1090947 N2 - We analyze a model of social interaction in one- and two-dimensional lattices for a moderate number of features. We introduce an order parameter as a function of the overlap between neighboring sites. In a one-dimensional chain, we observe that the dynamics is consistent with a second-order transition, where the order parameter changes continuously and the average domain diverges at the transition point. However, in a two-dimensional lattice the order parameter is discontinuous at the transition point characteristic of a first-order transition between an ordered and a disordered state. IS - 1-2 JF - Physica A: Statistical Mechanics and its Applications SN - 03784371 EP - 5 TI - Role of dimensionality in Axelrod's model for the dissemination of culture VL - 327 T2 - Proceedings of the XIIIth Conference on Nonequilibrium Statistical Mechanics and Nonlinear Physics SP - 1 KW - axelrod KW - culture KW - social_influence AU - Klemm, K AU - Eguiluz, V AU - Toral, R AU - Miguel, M PY - 2003/09/01/ UR - http://dx.doi.org/10.1016/S0378-4371(03)00428-X ER -