title: Percolation and coarsening in the bidimensional voter model.
abstract: We study the bidimensional voter model on a square lattice with numerical simulations. We demonstrate that the evolution takes place in two distinct dynamic regimes; a first approach towards critical site percolation and a further approach towards full consensus. We calculate the time dependence of the two growing lengths, finding that they are both algebraic but with different exponents (apart from possible logarithmic corrections). We analyze the morphology and statistics of clusters of voters with the same opinion. We compare these results to the ones for curvature driven two-dimensional coarsening.
authors.affiliation: Sorbonne Universités, Université Pierre et Marie Curie-Paris VI, Laboratoire de Physique Théorique et Hautes Energies UMR 7589, 4 Place Jussieu, 75252 Paris Cedex 05, France.
authors.forename: Alessandro
authors.initials: A
authors.lastname: Tartaglia
authors.affiliation: Sorbonne Universités, Université Pierre et Marie Curie-Paris VI, Laboratoire de Physique Théorique et Hautes Energies UMR 7589, 4 Place Jussieu, 75252 Paris Cedex 05, France.
authors.forename: Leticia F
authors.initials: LF
authors.lastname: Cugliandolo
authors.affiliation: Sorbonne Universités, Université Pierre et Marie Curie-Paris VI, Laboratoire de Physique Théorique et Hautes Energies UMR 7589, 4 Place Jussieu, 75252 Paris Cedex 05, France.
authors.forename: Marco
authors.initials: M
authors.lastname: Picco
mesh_terms: D008962:Models, Theoretical; D011057:Politics; D062211:Spatio-Temporal Analysis; D013269:Stochastic Processes