Fluid limit of threshold voter models on tori
arXiv:1405.2209 · doi:10.1007/s10955-015-1192-2
Abstract
In this paper, we are concerned with threshold voter models on tori. Assuming that the initial distribution of the process is product measure with density p, we obtain a fluid limit of the proportion of vertices in state 1 as the dimension of the torus grows to infinity. The fluid limit performs a phase transition phenomenon from p < 1/2 to p > 1/2.
18 pages