Dynamics and fluctuations of minimally-structured glass formers
arXiv:2312.07643 · doi:10.1103/PhysRevE.109.054905
Abstract
The mean-field theory (MFT) of simple glasses, which is exact in the limit of infinite spatial dimensions, , offers theoretical insight as well as quantitative predictions about certain features of systems. In order to more systematically relate the behavior of physical systems to MFT, however, various finite- corrections need to be accounted for. Although some efforts along this direction have already been undertaken, theoretical and technical challenges hinder progress. A general approach to sidestep many of these difficulties consists of simulating minimally-structured models whose behavior smoothly converges to that described by the MFT as increases, so as to permit a dimensional extrapolation. Using this approach, we here extract the small fluctuations around the dynamical MFT captured by a standard liquid-state observable the non-Gaussian parameter . The results provide insight into the physical origin of these fluctuations as well as a quantitative reference with which to compare observations in more realistic glass formers.
arXiv comment10 pages, 7 figures
References in corpus (42)
- Theoretical perspective on the glass transition and amorphous materials
- Dynamical heterogeneities in a supercooled Lennard-Jones liquid
- Mean field theory of hard sphere glasses and jamming
- Packing Hyperspheres in High-Dimensional Euclidean Spaces
- Glass and Jamming Transitions: From Exact Results to Finite-Dimensional Descriptions
- The sphere packing problem in dimension 24
- What do we learn from the shape of the dynamical susceptibility of glass-formers?
- Heterogeneous Diffusion in Highly Supercooled Liquids
- How does the relaxation of a supercooled liquid depend on its microscopic dynamics?
- Asymptotic laws for tagged-particle motion in glassy systems
- Jamming versus Glass Transitions
- Exact theory of dense amorphous hard spheres in high dimension. II. The high density regime and the Gardner transition
- Scaling of dynamics with the range of interaction in short-range attractive colloids
- Hiding Quiet Solutions in Random Constraint Satisfaction Problems
- Solution of the dynamics of liquids in the large-dimensional limit
- Hopping and the Stokes-Einstein relation breakdown in simple glass formers
- Event-Driven Brownian Dynamics for Hard Spheres
- Field Theory of Fluctuations in Glasses
- Mode-Coupling Theory as a Mean-Field Description of the Glass Transition
- Glass Transition of the Monodisperse Gaussian Core Model
- Experimental evidences of the Gardner phase in a granular glass
- Dynamical transition of glasses: from exact to approximate
- Critical fluctuations and breakdown of Stokes-Einstein relation in the Mode-Coupling Theory of glasses
- Quantitative field theory of the glass transition
- Critical dynamics of ballistic and Brownian particles in a heterogeneous environment
- A direct link between active matter and sheared granular systems
- Out-of-equilibrium dynamical mean-field equations for the perceptron model
- A simple theory for the dynamics of mean-field-like models of glass-forming fluids
- Quantitative approximation schemes for glasses
- Numerical solution of the dynamical mean field theory of infinite-dimensional equilibrium liquids
- Out-of-equilibrium dynamical equations of infinite-dimensional particle systems. I. The isotropic case
- Interplay between percolation and glassiness in the random Lorentz gas
- Experimental observation of the marginal glass phase in a colloidal glass
- Finite-dimensional vestige of spinodal criticality above the dynamical glass transition
- Local dynamical heterogeneity in glass formers
- Mean-field caging in a random Lorentz gas
- Out-of-equilibrium dynamical equations of infinite-dimensional particle systems. II. The anisotropic case under shear strain
- The dimensional evolution of structure and dynamics in hard sphere liquids
- Unveiling the anatomy of mode-coupling theory
- Gardner-like transition from variable to persistent force contacts in granular crystals
- Jamming, relaxation, and memory in a structureless glass former
- High-dimensional percolation criticality and hints of mean-field-like caging of the random Lorentz gas