Unveiling the anatomy of mode-coupling theory
arXiv:2307.03443 · doi:10.21468/SciPostPhys.15.5.217
Abstract
The mode-coupling theory of the glass transition (MCT) has been at the forefront of fundamental glass research for decades, yet the theory's underlying approximations remain obscure. Here we quantify and critically assess the effect of each MCT approximation separately. Using Brownian dynamics simulations, we compute the memory kernel predicted by MCT after each approximation in its derivation, and compare it with the exact one. We find that some often-criticized approximations are in fact very accurate, while the opposite is true for others, providing new guiding cues for further theory development.
References in corpus (31)
- Theoretical perspective on the glass transition and amorphous materials
- The role of local structure in dynamical arrest
- Inhomogeneous Mode-Coupling Theory and Growing Dynamic Length in Supercooled Liquids
- A mode coupling theory for Brownian particles in homogeneous steady shear flow
- Glassy dynamics of athermal self-propelled particles: Computer simulations and a nonequilibrium microscopic theory
- Structural relaxation of polydisperse hard spheres: comparison of the mode-coupling theory to a Langevin dynamics simulation
- Thirty milliseconds in the life of a supercooled liquid
- Increasing the density melts ultrasoft colloidal glasses
- Lengthscale dependence of dynamic four-point susceptibilities in glass formers
- Glass Transition in Confined Geometry
- Mode-coupling theory for the slow collective dynamics of fluids adsorbed in disordered porous media
- Cooperativity Beyond Caging: Generalized Mode Coupling Theory
- A critical test of the mode-coupling theory of the glass transition
- Mode-Coupling Theory for Active Brownian Particles
- Glass transition of hard spheres in high dimensions
- Nonequilibrium mode-coupling theory for dense active systems of self-propelled particles
- Revealing the three-dimensional structure of liquids using four-point correlation functions
- Tests of mode-coupling theory in two dimensions
- Four-point susceptibility of a glass-forming binary mixture: Brownian dynamics
- Static triplet correlations in glass-forming liquids: A molecular dynamics study
- Dynamics of interacting Brownian particles: a diagrammatic formulation
- Long-wavelength fluctuations lead to a model of the glass crossover
- Dimensional study of the dynamical arrest in a random Lorentz gas
- Many-body correlations are non-negligible in both fragile and strong glassformers
- Active Glassy Dynamics is Unaffected by the Microscopic Details of Self-Propulsion
- Mode-coupling theory for mixtures of athermal self-propelled particles
- From sub-aging to hyper-aging in structural glasses
- How a Supercooled Liquid Borrows Structure from the Crystal
- Dynamical Susceptibilities Near Ideal Glass Transitions
- The structure-dynamics feedback mechanism governs the glassy dynamics in epithelial monolayers
- Combinatorial Mori-Zwanzig Theory