Long-wavelength fluctuations lead to a model of the glass crossover

Abstract

The effect of long wavelength fluctuations on the Mode-Coupling-Theory (MCT) dynamical singularity at $T_c$ in the $\beta$ regime is studied by means of the standard field-theoretical procedure for a genuine second-order phase transition. The resulting perturbative loop expansion can be resummed leading to an extension of the MCT equation for the critical correlator with local random fluctuations of the separation parameter. The corresponding model explains both qualitatively and quantitatively why the MCT dynamical singularity is transformed into a crossover from relaxational to activated dynamics. Dynamical Heterogeneities emerge naturally as the ergodicity-restoring mechanism instead of {\it ad hoc} hopping processes.

Accepted for publication on EPL, based on talk given at 7 IDMRCS (arxiv:1307.4303)

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Cited by in corpus (13)

• Non-linear dynamic response of glass-forming liquids to random pinning
• Path Integral Approach Unveils the Role of Complex Energy Landscape for Activated Dynamics of Glassy Systems
• Non-monotonic dynamic correlations beneath the surface of glass-forming liquids
• From sub-aging to hyper-aging in structural glasses
• The Fredrickson-Andersen model with random pinning on Bethe lattices and its MCT transitions
• Unveiling the anatomy of mode-coupling theory
• Thermodynamics of the Fredrickson-Andersen Model on the Bethe Lattice
• Theory of Kinetically-Constrained-Models Dynamics
• Logarithmic critical slowing down in complex systems: from statics to dynamics
• Theory of the $\beta$-Relaxation Beyond Mode-Coupling Theory: A Microscopic Treatment
• Microscopic Theory of a Fluctuation-Induced Dynamical Crossover in Supercooled Liquids
• An alternative, dynamic density functional-like theory for time-dependent density fluctuations in glass-forming fluids
• Full replica symmetry breaking in p-spin-glass-like systems