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arXiv · 1609.02869

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

E. Brigatti·A. Hernández
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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.

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BibTeXRIS

E. Brigatti, A. Hernández. 2016-09-09. Finite size scaling analysis of a nonequilibrium phase transition in the naming game model. https://doi.org/10.1103/physreve.94.052308

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