THE NOISY VOTER MODEL

The noisy voter model is a spin system on a graph which may be obtaine d from the basic voter model by adding spontaneous flipping from 0 to 1 and from 1 to 0 at each site. Using duality, we obtain exact formula s for some important time-dependent and equilibrium functionals of thi s process. By letting the spontaneous flip rates tend to zero, we get the basic voter model, and we calculate the exact critical exponents a ssociated with this ''phase transition''. Finally, we use the noisy vo ter model to present an alternate view of a result due to Cox and Grif feath on clustering in the two-dimensional basic voter model.