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Random-field-like criticality in glass-forming liquids

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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Contributor : Emmanuelle De Laborderie Connect in order to contact the contributor
Submitted on : Monday, August 31, 2015 - 12:04:30 PM
Last modification on : Monday, December 13, 2021 - 9:16:04 AM

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  • HAL Id : cea-01188630, version 1
  • ARXIV : 1309.3194


Giulio Biroli, Chiara Cammarota, Gilles Tarjus, Marco Tarzia. Random-field-like criticality in glass-forming liquids. Physical Review Letters, American Physical Society, 2015, 112, pp.175701. ⟨cea-01188630⟩



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