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

✍ Scribed by Konstantin Klemm; Vı́ctor M Eguı́luz; Raúl Toral; Maxi San Miguel

• Book ID: 104340889
• Publisher: Elsevier Science
• Year: 2003
• Tongue: English
• Weight: 209 KB
• Volume: 327
• Category: Article
• ISSN: 0378-4371
• DOI: 10.1016/s0378-4371(03)00428-x

✦ Synopsis

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 ÿrst-order transition between an ordered and a disordered state.