Persistence in the Voter model: continuum reaction-diffusion approach
- 20 March 1998
- journal article
- letter
- Published by IOP Publishing in Journal of Physics A: General Physics
- Vol. 31 (11) , L209-L215
- https://doi.org/10.1088/0305-4470/31/11/001
Abstract
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; in d = 4; and for d>4. The results of our analysis are checked by Monte Carlo simulations.Keywords
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