Colloidal glass transition: Beyond mode-coupling theory
arXiv:cond-mat/0305626 · doi:10.1103/PhysRevLett.90.228301
Abstract
A new theory for dynamics of concentrated colloidal suspensions and the colloidal glass transition is proposed. The starting point is the memory function representation of the density correlation function. The memory function can be expressed in terms of a time-dependent pair-density correlation function. An exact, formal equation of motion for this function is derived and a factorization approximation is applied to its evolution operator. In this way a closed set of equations for the density correlation function and the memory function is obtained. The theory predicts an ergodicity breaking transition similar to that predicted by the mode-coupling theory, but at a higher density.
to be published in PRL
References in corpus (5)
- Properties of cage rearrangements observed near the colloidal glass transition
- Higher order glass-transition singularities in colloidal systems with attractive interactions
- Theory of nonlinear rheology and yielding of dense colloidal suspensions
- A quantitative test of the mode-coupling theory of the ideal glass transition for a binary Lennard-Jones system
- Microscopic theory for the glass transition in a system without static correlations
Cited by in corpus (47)
- Mode-Coupling Theory (MCT) Lecture Notes
- Mode-Coupling Theory of the Glass Transition: A Primer
- Locally preferred structures and many-body static correlations in viscous liquids
- Cooperativity Beyond Caging: Generalized Mode Coupling Theory
- Understanding, predicting, and tuning the fragility of vitrimeric polymers
- Microscopic dynamics of supercooled liquids from first principles
- A New Theory of Dynamic Arrest in Colloidal Mixtures
- Mode-Coupling as a Landau Theory of the Glass Transition
- Soft Metamaterials: Adaptation and Intelligence
- Unraveling the success and failure of mode coupling theory from consideration of entropy
- Dynamics of interacting Brownian particles: a diagrammatic formulation
- Relaxation Patterns in Supercooled Liquids from Generalized Mode-Coupling Theory
- Dimensional study of the dynamical arrest in a random Lorentz gas
- Mode-coupling theory and beyond: a diagrammatic approach
- Coarse-grained forms for equations describing the microscopic motion of particles in a fluid
- Microscopic Theory of the Influence of Strong Attractive Forces on the Activated Dynamics of Dense Glass and Gel Forming Fluids
- Gaussian density fluctuations, mode coupling theory, and all that
- Generalized mode-coupling theory of the glass transition: schematic results at finite and infinite order
- Many-body correlations are non-negligible in both fragile and strong glassformers
- Generalized mode-coupling theory of the glass transition. I. Numerical results for Percus-Yevick hard spheres
- Nonequilibrium mode-coupling theory for uniformly sheared underdamped systems
- Generalized mode-coupling theory of the glass transition. II. Analytical scaling laws
- Multi-component generalized mode-coupling theory: Predicting dynamics from structure in glassy mixtures
- Efficient formulation of multitime generalized quantum master equations: Taming the cost of simulating 2D spectra
- Mode-coupling theory for mixtures of athermal self-propelled particles
- Generalized Mode-Coupling Theory for Mixtures of Brownian Particles
- Dynamical Susceptibilities Near Ideal Glass Transitions
- Glass transitions and scaling laws within an alternative mode-coupling theory
- Unveiling the anatomy of mode-coupling theory
- Glassy dynamics of a binary Voronoi fluid: A mode-coupling analysis
- Glassy dynamics from generalized mode-coupling theory: existence and uniqueness of solutions for hierarchically coupled integro-differential equations
- Scaling equations for mode-coupling theories with multiple decay channels
- Glassy dynamics of sticky hard spheres beyond the mode-coupling regime
- A deep learning approach to the measurement of long-lived memory kernels from Generalised Langevin Dynamics
- Analyses of kinetic glass transition in short-range attractive colloids based on time-convolutionless mode-coupling theory
- Improved mean-field dynamical equations are able to detect the two-steps relaxation in glassy dynamics at low temperatures
- Tagged-particle motion of Percus-Yevick hard spheres from first principles
- Dynamics of a noninteracting colloidal fluid in a quenched Gaussian random potential: A time-reversal-symmetry-preserving field-theoretic approach
- A self-consistent current response theory of jamming and vibrational modes in low-temperature amorphous solids
- Revisiting the single-saddle model for the -relaxation of supercooled liquids
- 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
- A simple closure procedure for the study of velocity autocorrelation functions in fluids as a "bridge" between different theoretical approaches
- A Diagrammatic Kinetic Theory of Density Fluctuations in Simple Liquids in the Overdamped Limit. I. A Long Time Scale Theory for High Density
- Theory of the -Relaxation Beyond Mode-Coupling Theory: A Microscopic Treatment
- Ergodicity in glass relaxation
- An alternative, dynamic density functional-like theory for time-dependent density fluctuations in glass-forming fluids