Finite size scaling analysis of a nonequilibrium phase transition in the naming game model release_n6yd4lb53ne3zcgmvl2opgztqu

by E. Brigatti, A. Hernández

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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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Type  article
Stage   accepted
Date   2016-11-14
Version   v2
Language   en ?
arXiv  1609.02869v2
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