Critical fluctuations and breakdown of Stokes-Einstein relation in the Mode-Coupling Theory of glasses

Abstract

We argue that the critical dynamical fluctuations predicted by the mode-coupling theory (MCT) of glasses provide a natural mechanism to explain the breakdown of the Stokes-Einstein relation. This breakdown, observed numerically and experimentally in a region where MCT should hold, is one of the major difficulty of the theory, for which we propose a natural resolution based on the recent interpretation of the MCT transition as a bona fide critical point with a diverging length scale. We also show that the upper critical dimension of MCT is d_c=8.

Proceedings of the workshop on non-equilibrium phenomena in supercooled fluids, glasses and amorphous materials (17-22 September, 2006, Pisa)

References in corpus (5)

• Direct experimental evidence of a growing length scale accompanying the glass transition
• Inhomogeneous Mode-Coupling Theory and Growing Dynamic Length in Supercooled Liquids
• Predicting the long time dynamic heterogeneity in a supercooled liquid on the basis of short time heterogeneities
• Rigorous Inequalities between Length and Time Scales in Glassy Systems
• Excitation lines and the breakdown of Stokes-Einstein relations in supercooled liquids

Cited by in corpus (45)

• Theoretical perspective on the glass transition and amorphous materials
• Perspective: The Glass Transition
• Breakdown of the Stokes-Einstein relation in two, three and four dimensions
• Hopping and the Stokes-Einstein relation breakdown in simple glass formers
• Correlation of Local Order with Particle Mobility in Supercooled Liquids is Highly System Dependent
• Mode-Coupling Theory as a Mean-Field Description of the Glass Transition
• Active glasses
• Dimensional Study of the Caging Order Parameter at the Glass Transition
• Dynamical transition of glasses: from exact to approximate
• Glass transition of hard spheres in high dimensions
• Quantitative field theory of the glass transition
• Mode-Coupling as a Landau Theory of the Glass Transition
• Dimensional dependence of the Stokes--Einstein relation and its violation
• Spinodals with Disorder: from Avalanches in Random Magnets to Glassy Dynamics
• Validity of Stokes-Einstein Relation in Soft Colloids up to the Glass Transition
• Modeling multiple time scales during glass formation with phase-field crystals
• Spurious violation of the Stokes-Einstein-Debye relation in supercooled water
• Qualitative Features at the Glass Crossover
• Viscoelasticity and Stokes-Einstein relation in repulsive and attractive colloidal glasses
• Quantitative approximation schemes for glasses
• Numerical and Theoretical Study of a Monodisperse Hard-Sphere Glass Former
• Slow Dynamics of the High Density Gaussian Core Model
• Numerical solution of the dynamical mean field theory of infinite-dimensional equilibrium liquids
• Dynamical Heterogeneity and Nonlinear Susceptibility in Short-Ranged Attractive Supercooled Liquids
• Static replica approach to critical correlations in glassy systems
• Dynamical heterogeneity in aging colloidal glasses of Laponite
• Polymer Glass-Formation in Variable Dimension
• Finite-dimensional vestige of spinodal criticality above the dynamical glass transition
• Comparative classical and ab initio Molecular Dynamics study of molten and glassy germanium dioxide
• Predictive power of MCT: Numerics and Finite size scaling for a mean field spin glass
• Scaling and universality in glass transition
• Critical dynamical heterogeneities close to continuous second-order glass transitions
• Qualitatively different collective and single particle dynamics in a supercooled liquid
• Efficient $d$-dimensional molecular dynamics simulations for studies of the glass-jamming transition
• Dynamics and fluctuations of minimally-structured glass formers
• Theory of simple glasses
• Liquid pair correlations in four spatial dimensions: Theory versus simulation
• Breakdown of a renormalized perturbation expansion around mode-coupling theory of the glass transition
• Scaling behavior of the self diffusion coefficients: dependence on the mass ratio of a binary mixture
• Study of the upper-critical dimension of the East model through the breakdown of the Stokes-Einstein relation
• Critical behaviour of large scale dynamical heterogeneities in glasses: a complete theory
• Tagged-particle motion in quasi-confined colloidal hard-sphere liquids
• Microscopic Theory of a Fluctuation-Induced Dynamical Crossover in Supercooled Liquids
• Theory of the $\beta$-Relaxation Beyond Mode-Coupling Theory: A Microscopic Treatment
• Negative differential mobility of weakly driven particles in models of glass formers