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Glassy properties of a XOR-SAT model in finite dimensions
Giacomo Gradenigo, LPTMS
Two competing scenarios have been proposed since a long time as alternative to explain the critical slowing down of glass-forming materials: the dynamic facilitation scenario, well represented by kinetically constrained models (KCM), where glassiness arise just as a dynamical phenomenon, and the thermodynamic scenario of the Random First-Order Transition (RFOT) theory, according to which the slowing down of dynamics is the signature of a true thermodynamic transition, the glass transition.
In this talk I will review and discuss some properties of a finite dimensional XOR-SAT model, the triangular plaquette model, which is a typical example of kinetically constrained model. In particular I will explain the mechanism by which the addition of an arbitrarily small perturbation in the Hamiltonian of this system may induce a finite temperature glass transition. I discuss therefore how the model studied, just by tuning a parameter, can be either representative of the dynamic facilitation scenario or of the thermodynamic one: this result suggest that the two scenarios should be regarded not as alternative but just as two complementary ways to explain the same kind of phenomenology.