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Critical dynamical heterogeneities close to continuous second-order glass transitions

Abstract : We analyse, using Inhomogenous Mode-Coupling Theory, the critical scaling behaviour of the dynamical susceptibility at a distance epsilon from continuous second-order glass transitions. We find that the dynamical correlation length xi behaves generically as epsilon^{-1/3} and that the upper critical dimension is equal to six. More surprisingly, we find activated dynamic scaling, where xi grows with time as [ln(t)]^2 exactly at criticality. All these results suggest a deep analogy between the glassy behaviour of attractive colloids or randomly pinned supercooled liquids and that of the Random Field Ising Model.
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Contributor : Emmanuelle de Laborderie Connect in order to contact the contributor
Submitted on : Wednesday, April 2, 2014 - 11:20:22 AM
Last modification on : Wednesday, April 14, 2021 - 12:12:07 PM

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  • HAL Id : cea-00969202, version 1
  • ARXIV : 1401.3253



Saroj Kumar Nandi, Giulio Biroli, Jean-Philippe Bouchaud, Kunimasa Miyazaki, David R. Reichman. Critical dynamical heterogeneities close to continuous second-order glass transitions. 2014. ⟨cea-00969202⟩



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