Dynamical susceptibilities near ideal glass transitions

Abstract

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Replica Field Theory for a Generalized Franz–Parisi Potential of Inhomogeneous Glassy Systems: New Closure and the Associated Self-Consistent Equation

“…Second, we can develop the replica field theory to include TCF fluctuations around the metastable field as described above. Thus, the present field-theoretical formalism opens up promising avenues to advance studies on the dynamical heterogeneity in terms of the correlation function of TCF fluctuations (i.e., the so-called four-point correlation function [ 7 , 8 , 9 , 10 ]) as well as the FEL that includes fluctuations around a metastable state.…”

“…A remarkable feature of the random structure is that glass microscopically lacks the long-range order and is similar to liquid in terms of density–density correlations [ 1 , 2 , 3 , 4 , 5 , 6 ]. As a precursor to the random structure of glass, supercooled liquids show heterogeneity over space and time [ 1 , 2 , 3 , 4 , 5 , 6 , 7 , 8 , 9 , 10 , 11 ]. The dynamical heterogeneity and facilitation [ 4 , 7 , 8 , 9 , 10 , 11 , 12 , 13 , 14 ] emerges on approaching the dynamical transition temperature ( ), accompanied by the crossover from relaxational to activated dynamics.…”

“…As a precursor to the random structure of glass, supercooled liquids show heterogeneity over space and time [ 1 , 2 , 3 , 4 , 5 , 6 , 7 , 8 , 9 , 10 , 11 ]. The dynamical heterogeneity and facilitation [ 4 , 7 , 8 , 9 , 10 , 11 , 12 , 13 , 14 ] emerges on approaching the dynamical transition temperature ( ), accompanied by the crossover from relaxational to activated dynamics. For , transport is not collective on a large scale.…”

“…The MCT describes the onset of the two-step relaxation above and predicts the divergence of -relaxation time at . Extension to the inhomogeneous MCT further allows us to describe a growing dynamical heterogeneity using a time-dependent three-or four-point correlation function [ 2 , 7 , 8 , 9 , 10 , 11 ]. Yet the dynamical transition temperature is higher than the glass transition temperature observed in simulation and experimental studies.…”

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