2016/09/30 by E. Brigatti, A. Hernández · 1 citation
Physics and Astronomy · #cond-mat.stat-mech #physics.comp-ph #physics.soc-ph
paper · pdf · doi:10.1103/physreve.94.052308
published as Phys. Rev. E 94, 052308 (2016) · 5 pages, 5 figures
arxiv created 2016/11/14 · arxiv updated 2016/11/15
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.