%0 Journal Article %1 Kle-03 %A Klemm, Konstantin %A Eguíluz, Víctor %A Toral, Raúl %A Miguel, Maxi %D 2003 %J Physica A %K Non-equilibrium Sociophysics and transition %N 1-2 %P 1--5 %T Role of Dimensionality in Axelrod's Model for the Dissemination of Culture %U linkinghub.elsevier.com/retrieve/pii/S037843710300428X %V 327 %X 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 parameters 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.

@article{Kle-03, 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 parameters 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.}, added-at = {2008-03-13T16:33:57.000+0100}, author = {Klemm, Konstantin and Egu\'iluz, V\'ictor and Toral, Ra{\'u}l and Miguel, Maxi}, biburl = {https://www.bibsonomy.org/bibtex/2b28a1e62d5ce83f1af8ab2fbb834cf46/bertil.hatt}, date-added = {2007-06-11 17:22:07 +0200}, date-modified = {2007-08-23 10:08:27 +0200}, description = {March 2008}, interhash = {194afbe0e55d7570c356cafd876bacfc}, intrahash = {b28a1e62d5ce83f1af8ab2fbb834cf46}, journal = {Physica A}, keywords = {Non-equilibrium Sociophysics and transition}, number = {1-2}, pages = {1--5}, rating = {0}, timestamp = {2008-03-13T16:35:35.000+0100}, title = {Role of Dimensionality in Axelrod's Model for the Dissemination of Culture}, uri = {papers://C3B117CD-23C4-4854-9426-AC96AFB113DA/Paper/p116}, url = {linkinghub.elsevier.com/retrieve/pii/S037843710300428X}, volume = 327, year = 2003 }