# 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$^2t$ 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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Submitted on : Wednesday, April 2, 2014 - 11:20:22 AM
Last modification on : Thursday, June 30, 2022 - 3:15:50 AM

### Citation

Saroj Kumar Nandi, Giulio Biroli, Jean-Philippe Bouchaud, Kunimasa Miyazaki, David R. Reichman. Critical dynamical heterogeneities close to continuous second-order glass transitions. Physical Review Letters, American Physical Society, 2014, 113, pp.245701. ⟨10.1103/PhysRevLett.113.245701⟩. ⟨cea-00969202⟩

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