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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Acknowledgments
This work is partially funded by the Belgian Interuniversity Attraction Pole, P7/18 and by Iniciativa Científica Milenio, ICM (Chile), through the Millenium Nucleus RC120002 “Física Matemática”.
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Bricmont, J., Van Den Bosch, H. Intermediate Model Between Majority Voter PCA and Its Mean Field Model. J Stat Phys 158, 1090–1099 (2015). https://doi.org/10.1007/s10955-014-1037-4
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DOI: https://doi.org/10.1007/s10955-014-1037-4