Do current-density nonlinearities cut off the glass transition?

Abstract

Extended mode coupling theories for dense fluids predict that nonlinear current-density couplings cut off the singular `ideal glass transition', present in the standard mode coupling theory where such couplings are ignored. We suggest here that, rather than allowing for activated processes as sometimes supposed, contributions from current-density couplings are always negligible close to a glass transition. We discuss in schematic terms how activated processes can nonetheless cut off the transition, by causing the memory function to become linear in correlators at late times.

4 pages

References in corpus (3)

• Glassy dynamics of kinetically constrained models
• Relaxation in a glassy binary mixture: Comparison of the mode-coupling theory to a Brownian dynamics simulation
• Metastable States, Relaxation Times and Free-energy Barriers in Finite Dimensional Glassy Systems

Cited by in corpus (27)

• Theoretical perspective on the glass transition and amorphous materials
• 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
• Mode-Coupling Theory of the Glass Transition: A Primer
• Glass Rheology: From mode-coupling theory to a dynamical yield criterion
• The Monte-Carlo dynamics of a binary Lennard-Jones glass-forming mixture
• Nonlinear rheology of colloidal dispersions
• Cooperativity Beyond Caging: Generalized Mode Coupling Theory
• Dynamic light scattering measurements in the activated regime of dense colloidal hard spheres
• Dynamic heterogeneities above and below the mode-coupling temperature. Evidence of a dynamic crossover
• Revisiting the slow dynamics of a silica melt using Monte Carlo simulations
• Qualitative Features at the Glass Crossover
• Equilibrium dynamics of the Dean-Kawasaki model: MCT and beyond
• Replica theory for fluctuations of the activation barriers in glassy systems
• Relaxation Patterns in Supercooled Liquids from Generalized Mode-Coupling Theory
• Mode-coupling theory and beyond: a diagrammatic approach
• Does Fluctuating Nonlinear Hydrodynamics Support an Ergodic-Nonergodic Transition?
• Systematic expansion in the order parameter for replica theory of the dynamical glass transition
• The mode-coupling glass transition in a fluid confined by a periodic potential
• Crossover behavior and multi-step relaxation in a schematic model of the cut-off glass transition
• Structure, diffusion and orientational freezing in lithium metasilicate
• Random Diffusion Model
• Density nonlinearities in field theories for a toy model of fluctuating nonlinear hydrodynamics of supercooled liquids
• Understanding the approximations of mode-coupling theory for sheared steady states of colloids
• A numerical study of longtime dynamics and ergodic-nonergodic transitions in dense simple fluids
• Breakdown of a renormalized perturbation expansion around mode-coupling theory of the glass transition
• Following the evolution of metastable glassy states under external perturbations: compression and shear-strain