Random-field-like criticality in glass-forming liquids

Giulio Biroli; Chiara Cammarota; Gilles Tarjus; Marco Tarzia

doi:10.1103/physrevlett.112.175701

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arXiv · 1309.3194

Random-field-like criticality in glass-forming liquids

Giulio Biroli·Chiara Cammarota·Gilles Tarjus·Marco Tarzia

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Abstract

We introduce an approach to derive an effective scalar field theory for the glass transition; the fluctuating field is the overlap between equilibrium configurations. We apply it to the case of constrained liquids for which the introduction of a conjugate source to the overlap field was predicted to lead to an equilibrium critical point. We show that the long-distance physics in the vicinity of this critical point is in the same universality class as that of a paradigmatic disordered model: the random-field Ising model. The quenched disorder is provided here by a reference equilibrium liquid configuration. We discuss to what extent this field-theoretical description and the mapping to the random field Ising model hold in the whole supercooled liquid regime, in particular near the glass transition.

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Giulio Biroli, Chiara Cammarota, Gilles Tarjus, Marco Tarzia. 2013-09-12. Random-field-like criticality in glass-forming liquids. https://doi.org/10.1103/physrevlett.112.175701

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