Nonequilibrium Phase Transition in a Model for Social Influence

The phase diagram of the Axelrod's model for social influence is studied and a nonequilibrium phase transition separating an ordered (culturally polarized) phase from a disordered ( Culturally fragmented) one is uncovered.

Abstract

We present extensive numerical simulations of the Axelrod's model for social influence, aimed at understanding the formation of cultural domains. This is a nonequilibrium model with short range interactions and a remarkably rich dynamical behavior. We study the phase diagram of the model and uncover a nonequilibrium phase transition separating an ordered (culturally polarized) phase from a disordered (culturally fragmented) one. The nature of the phase transition can be continuous or discontinuous depending on the model parameters. At the transition, the size of cultural regions is power-law distributed.