Persistence in the Voter model: continuum reaction-diffusion approach

We investigate the persistence probability in the Voter model for dimensions . This is achieved by mapping the Voter model onto a continuum reaction-diffusion system. Using path-integral methods, we compute the persistence probability , where q is the number of `opinions' in the original Voter model. We find in d = 2; for 2 4 . The results of our analysis are checked by Monte Carlo simulations.