An alternative, dynamic density functional-like theory for time-dependent density fluctuations in glass-forming fluids
arXiv:2203.09543 · doi:10.1063/5.0091385
Abstract
We propose an alternative theory for the relaxation of density fluctuations in glass-forming fluids. We derive an equation of motion for the density correlation function which is local in time and is similar in spirit to the equation of motion for the average non-uniform density profile derived within the dynamic density functional theory. We identify the Franz-Parisi free energy functional as the non-equilibrium free energy for the evolution of the density correlation function. An appearance of a local minimum of this functional leads to a dynamic arrest. Thus, the ergodicity breaking transition predicted by our theory coincides with the dynamic transition of the static approach based on the same non-equilibrium free energy functional.
arXiv commentaccepted for publication in J. Chem. Phys. (Communication) Special Topic on Slow Dynamics
References in corpus (36)
- Theoretical perspective on the glass transition and amorphous materials
- Theory of Structural Glasses and Supercooled Liquids
- Mean field theory of hard sphere glasses and jamming
- Dynamic Density Functional Theory of Fluids
- Dynamical density functional theory and its application to spinodal decomposition
- Thermodynamics of glasses: a first principle computation
- Mode-Coupling Theory (MCT) Lecture Notes
- Recipes for metastable states in Spin Glasses
- Classical dynamical density functional theory: from fundamentals to applications
- Phase diagram of glassy systems in an external field
- A first principle computation of the thermodynamics of glasses
- Elastically Cooperative Activated Barrier Hopping Theory of Relaxation in Viscous Fluids. I. General Formulation and Application to Hard Sphere Fluids
- Exact theory of dense amorphous hard spheres in high dimension. III. The full RSB solution
- Exact theory of dense amorphous hard spheres in high dimension. II. The high density regime and the Gardner transition
- Solution of the dynamics of liquids in the large-dimensional limit
- Exact theory of dense amorphous hard spheres in high dimension. I. The free energy
- The ideal glass transition of Hard Spheres
- A tentative Replica Study of the Glass Transition
- Mode-Coupling Theory as a Mean-Field Description of the Glass Transition
- Colloidal glass transition: Beyond mode-coupling theory
- Glass transition of hard spheres in high dimensions
- Independence of the relaxation of a supercooled fluid of its microscopic dynamics: need for yet another extension of the mode-coupling theory
- A phase-separation perspective on dynamic heterogeneities in glass-forming liquids
- Microscopic dynamics of supercooled liquids from first principles
- Activated events in glasses: the structure of entropic droplets
- First steps of a nucleation theory in disordered systems
- Numerical solution of the dynamical mean field theory of infinite-dimensional equilibrium liquids
- Dynamic glass transition: bridging the gap between mode-coupling theory and the replica approach
- Out-of-equilibrium dynamical equations of infinite-dimensional particle systems. I. The isotropic case
- Long-wavelength fluctuations lead to a model of the glass crossover
- Dynamical Landau Theory of the Glass Crossover
- On mean-field theories of dynamics in supercooled liquids
- Systematic expansion in the order parameter for replica theory of the dynamical glass transition
- Quasi-equilibrium in glassy dynamics: a liquid theory approach
- On the dynamics of Kac -spin glasses
- Quasi equilibrium construction for the long time limit of glassy dynamics