Critical dynamical heterogeneities close to continuous second-order glass transitions

Saroj Kumar Nandi; Giulio Biroli; Jean-Philippe Bouchaud; Kunimasa Miyazaki; David R. Reichman

doi:10.1103/physrevlett.113.245701

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arXiv · 1401.3253

Critical dynamical heterogeneities close to continuous second-order glass transitions

Saroj Kumar Nandi·Giulio Biroli·Jean-Philippe Bouchaud·Kunimasa Miyazaki·David R. Reichman

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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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Saroj Kumar Nandi, Giulio Biroli, Jean-Philippe Bouchaud, Kunimasa Miyazaki, David R. Reichman. 2014-01-27. Critical dynamical heterogeneities close to continuous second-order glass transitions. https://doi.org/10.1103/physrevlett.113.245701

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