Dynamical Susceptibilities Near Ideal Glass Transitions
arXiv:2208.07578 · doi:10.1103/PhysRevE.106.064136
Abstract
Building on the recently derived inhomogeneous mode-coupling theory, we extend the generalised mode-coupling theory of supercooled liquids to inhomogeneous environments. This provides a first-principles-based, systematic and rigorous way of deriving high-point dynamical susceptibilities from variations of the many-body dynamic structure factors with respect to their conjugate field. This new framework allows for a novel and fully microscopic possibility to probe for collective relaxation mechanisms in supercooled liquids near the mode-coupling glass transition.
11 pages, 4 figures
References in corpus (14)
- Probing the equilibrium dynamics of colloidal hard spheres above the mode-coupling glass transition
- Inhomogeneous Mode-Coupling Theory and Growing Dynamic Length in Supercooled Liquids
- Spatial correlations in the dynamics of glassforming liquids: Experimental determination of their temperature dependence
- Spontaneous and induced dynamic fluctuations in glass-formers I: General results and dependence on ensemble and dynamics
- Dynamic heterogeneity in amorphous materials
- Spontaneous and induced dynamic correlations in glass-formers II: Model calculations and comparison to numerical simulations
- Logarithmic Relaxation in Glass-Forming Systems
- Cooperativity Beyond Caging: Generalized Mode Coupling Theory
- Multiple length and time scales of dynamic heterogeneities in model glass-forming liquids: A systematic analysis of multi-point and multi-time correlations
- Understanding, predicting, and tuning the fragility of vitrimeric polymers
- Short and long range correlated motion observed in colloidal glasses and liquids
- Dynamic Correlation Length Scales under Isochronal Conditions
- Dynamics of interacting Brownian particles: a diagrammatic formulation
- Three-point susceptibilities and : mode-coupling approximation
Cited by in corpus (4)
- Unveiling the anatomy of mode-coupling theory
- Mode-coupling theory of the glass transition for a liquid in a periodic potential
- Replica Field Theory for a Generalized Franz--Parisi Potential of Inhomogeneous Glassy Systems: New Closure and the Associated Self-Consistent Equation
- Theory of the -Relaxation Beyond Mode-Coupling Theory: A Microscopic Treatment