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- Title
Mixing Length Scales of Low Temperature Spin Plaquettes Models.
- Authors
Chleboun, P.; Faggionato, A.; Martinelli, F.; Toninelli, C.
- 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 multispin correlation lengths. Finally, using the symmetries of the model we determine an exact self similarity property for the infinite volume Gibbs measure.
- Subjects
FERROMAGNETISM; PLAQUETTE bindings; GIBBS' equation; THERMODYNAMICS; STATISTICAL correlation; PRIORIES
- Publication
Journal of Statistical Physics, 2017, Vol 169, Issue 3, p441
- ISSN
0022-4715
- Publication type
Article
- DOI
10.1007/s10955-017-1880-1