Finite size scaling analysis of a nonequilibrium phase transition in the naming game model

Abstract

We realize an extensive numerical study of the Naming Game model with a noise term which accounts for perturbations. This model displays a non-equilibrium phase transition between an absorbing ordered consensus state, which occurs for small noise, and a disordered phase with fragmented clusters characterized by heterogeneous memories, which emerges at strong noise levels. The nature of the phase transition is studied by means of a finite-size scaling analysis of the moments. We observe a scaling behavior typical of a discontinuous transition and we are able to estimate the thermodynamic limit. The scaling behavior of the clusters size seems also compatible with this kind of transition.

arXiv comment5 pages, 5 figures

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• Discontinuous transitions can survive to quenched disorder in a 2-dimensional nonequilibrium system
• The Role of bilinguals in the Bayesian naming game
• Exploring the onset of collective motion in self-organised trails of social organisms
• Polarization inhibits the phase transition of Axelrod's model