Intermediate model between majority voter PCA and its mean field model

Bricmont, Jean;Van Den Bosch, Hanne
(2015) Journal of Statistical Physics — Vol. 158, n° 5, p. 1090-1099 (2014)

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  • Bricmont, JeanUCLouvain
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  • Van Den Bosch, HannePontificia Universidad Católica de Chil
    Author
Abstract
Probabilistic cellular automata (PCA) are simple models used to study dynamical phase transitions. There exist mean field approximations to PCA that can be shown to exhibit a phase transition. We introduce a model interpolating between a class of PCA, called majority voters, and their corresponding mean field models. Using graphical methods, we prove that this model undergoes a phase transition.
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Bricmont, J., & Van Den Bosch, H. (2015). Intermediate model between majority voter PCA and its mean field model. Journal of Statistical Physics, 158(5), 1090-1099. https://doi.org/10.1007/s10955-014-1037-4 (Original work published 2014)