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arXiv · 1310.0960

Intermediate model between Majority voter PCA and its Mean Field model

Jean Bricmont·Hanne Van Den Bosch
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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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Jean Bricmont, Hanne Van Den Bosch. 2013-10-03. Intermediate model between Majority voter PCA and its Mean Field model. https://doi.org/10.1007/s10955-014-1037-4

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