Microscopic Theory of a Fluctuation-Induced Dynamical Crossover in Supercooled Liquids
arXiv:2512.13082 · doi:10.1103/8lw2-352q
Abstract
Mean-field theories of the glass transition predict a phase transition to a dynamically arrested state, yet no such transition is observed in experiments or simulations of finite-dimensional systems. We resolve this long-standing discrepancy by incorporating critical dynamical fluctuations into a microscopic mode-coupling framework. We show that these fluctuations round off the mean-field singularity and restore ergodicity at all finite densities (or temperatures) without invoking activated dynamics or facilitation. The resulting effective theory describes the order parameter as a stochastic process with self-induced, annealed disorder, determined self-consistently at the mean-field level. In the -relaxation regime it reduces to stochastic beta-relaxation theory, thereby unifying mode-coupling and replica-based approaches beyond mean-field. All parameters of the stochastic -relaxation theory are fixed by the static structure, enabling parameter-free predictions that extend mean-field theory into finite dimensions.
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References in corpus (43)
- Direct experimental evidence of a growing length scale accompanying the glass transition
- Mean field theory of hard sphere glasses and jamming
- Geometrical explanation and scaling of dynamical heterogeneities in glass forming systems
- Dynamics of Highly Supercooled Liquids:Heterogeneity, Rheology, and Diffusion
- Perspective: The Glass Transition
- 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
- Dynamical Heterogeneity close to the Jamming Transition in a Sheared Granular Material
- Spontaneous and induced dynamic fluctuations in glass-formers I: General results and dependence on ensemble and dynamics
- Time and length scales in supercooled liquids
- On nonlinear susceptibility in supercooled liquids
- Dynamic criticality in glass-forming liquids
- Diverging length scale and upper critical dimension in the Mode-Coupling Theory of the glass transition
- Spontaneous and induced dynamic correlations in glass-formers II: Model calculations and comparison to numerical simulations
- Unified Theory of Activated Relaxation in Liquids over 14 Decades in Time
- Field Theory of Fluctuations in Glasses
- Thirty milliseconds in the life of a supercooled liquid
- Growing Correlation Length on Cooling Below the Onset of Caging in a Simulated Glass-Forming Liquid
- Dynamic heterogeneity in a glass forming fluid: susceptibility, structure factor and correlation length
- Cooperativity Beyond Caging: Generalized Mode Coupling Theory
- From boiling point to glass transition temperature: transport coefficients in molecular liquids follow three-parameter scaling
- Critical fluctuations and breakdown of Stokes-Einstein relation in the Mode-Coupling Theory of glasses
- Microscopic dynamics of supercooled liquids from first principles
- Connections of activated hopping processes with the breakdown of the Stokes-Einstein relation and with aspects of dynamical heterogeneities
- Quantitative field theory of the glass transition
- Probing a critical length scale at the glass transition
- Elasticity, Facilitation and Dynamic Heterogeneity in Glass-Forming liquids
- Solid-that-flows picture of glass-forming liquids
- Self-induced heterogeneity in deeply supercooled liquids
- Qualitative Features at the Glass Crossover
- Statistical Mechanics and Dynamics of a 3-Dimensional Glass-Forming System
- Dynamics of interacting Brownian particles: a diagrammatic formulation
- Long-wavelength fluctuations lead to a model of the glass crossover
- Dynamical Landau Theory of the Glass Crossover
- Comment: Characterizing dynamic length scales in glass forming liquids
- Finite-dimensional vestige of spinodal criticality above the dynamical glass transition
- Solvable Models of Supercooled Liquids in Three Dimensions
- Signature of Dynamical Heterogeneity in Spatial Correlations of Particle Displacement and its Temporal Evolution in Supercooled Liquids
- The glass transition in molecules, colloids and grains: universality and specificity
- Divergent four-point dynamic density correlation function of a glassy colloidal suspension: a diagrammatic approach
- The dimensional evolution of structure and dynamics in hard sphere liquids
- Breakdown of a renormalized perturbation expansion around mode-coupling theory of the glass transition
- Theory of the -Relaxation Beyond Mode-Coupling Theory: A Microscopic Treatment