Giulio Biroli, Charlotte Rulquin, Gilles Tarjus, Marco Tarzia
SciPost Phys. 1, 007 (2016) ·
published 25 October 2016

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We study the role of fluctuations on the thermodynamic glassy properties of
plaquette spin models, more specifically on the transition involving an overlap
order parameter in the presence of an attractive coupling between different
replicas of the system. We consider both shortrange fluctuations associated
with the local environment on Bethe lattices and longrange fluctuations that
distinguish Euclidean from Bethe lattices with the same local environment. We
find that the phase diagram in the temperaturecoupling plane is very sensitive
to the former but, at least for the $3$dimensional (square pyramid) model,
appears qualitatively or semiquantitatively unchanged by the latter. This
surprising result suggests that the meanfield theory of glasses provides a
reasonable account of the glassy thermodynamics of models otherwise described
in terms of the kinetically constrained motion of localized defects and taken
as a paradigm for the theory of dynamic facilitation. We discuss the possible
implications for the dynamical behavior.
Mrs Rulquin: "We thank the referee for the a..."
in Report on Role of fluctuations in the phase transitions of coupled plaquette spin models of glasses