Intermediate model between Majority voter PCA and its Mean Field model
Mathematical Physics
2015-06-17 v1 Statistical Mechanics
math.MP
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.
Keywords
Cite
@article{arxiv.1310.0960,
title = {Intermediate model between Majority voter PCA and its Mean Field model},
author = {Jean Bricmont and Hanne Van Den Bosch},
journal= {arXiv preprint arXiv:1310.0960},
year = {2015}
}
Comments
12 pages, 4 figures