MIXING LENGTH SCALES OF LOW TEMPERATURE SPIN PLAQUETTES MODELS

Abstract : Plaquette models are short range ferromagnetic spin models that play a key role in the dynamic facilitation approach to the liquid glass transition. In this paper we perform a rigorous study of the thermodynamic properties of two dimensional plaquette models, the square and triangular plaquette models. We prove that for any positive temperature both models have a unique infinite volume Gibbs measure with exponentially decaying correlations. We analyse the scaling of three a priori different static correlation lengths in the small temperature regime, the mixing, cavity and mul-tispin correlation lengths. Finally, using the symmetries of the model we determine an exact self similarity property for the infinite volume Gibbs measure.
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Journal of Statistical Physics, Springer Verlag, 2017
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Contributeur : Cristina Toninelli <>
Soumis le : mardi 30 janvier 2018 - 14:02:02
Dernière modification le : vendredi 4 janvier 2019 - 17:33:38
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P Chleboun, A Faggionato, F. Martinelli, C. Toninelli. MIXING LENGTH SCALES OF LOW TEMPERATURE SPIN PLAQUETTES MODELS. Journal of Statistical Physics, Springer Verlag, 2017. 〈hal-01696428〉

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