A test of non-equilibrium thermodynamics in glassy systems: the soft-sphere case

Abstract

The scaling properties of the soft-sphere potential allow the derivation of an exact expression for the pressure of a frozen liquid, i.e., the pressure corresponding to configurations which are local minima in its multidimensional potential energy landscape. The existence of such a relation offers the unique possibility for testing the recently proposed extension of the liquid free energy to glassy out-of-equilibrium conditions and the associated expression for the temperature of the configurational degrees of freedom. We demonstrate that the non-equilibrium free energy provides an exact description of the soft-sphere pressure in glass states.

References in corpus (15)

• Energy flow, partial equilibration and effective temperatures in systems with slow dynamics
• The relationship between fragility, configurational entropy and the potential energy landscape of glass forming liquids
• Inherent Structure Entropy of Supercooled Liquids
• Thermodynamics of glasses: a first principle computation
• The potential energy landscape of a model glass former: thermodynamics, anharmonicities, and finite size effects
• Extension of the Fluctuation-Dissipation theorem to the physical aging of a model glass-forming liquid
• Thermodynamics of the glassy state: effective temperature as an additional system parameter
• Quasi-equilibrium interpretation of aging dynamics
• Thermodynamics of binary mixture glasses
• Potential Energy Landscape Equation of State
• Energy landscapes, ideal glasses, and their equation of state
• Aging and Energy Landscapes: Application to Liquids and Glasses
• On the Approach to the Equilibrium and the Equilibrium Properties of a Glass-Forming Model
• Effective temperatures in an exactly solvable model for a fragile glass
• Inherent Structures in models for fragile and strong glass

Cited by in corpus (11)

• Pressure-energy correlations in liquids. IV. "Isomorphs" in liquid state diagrams
• "Isomorphs" in liquid state diagrams
• Nonequilibrium Thermodynamics of Amorphous Materials II: Effective-Temperature Theory
• Pressure-energy correlations in liquids. V. Isomorphs in generalized Lennard-Jones systems
• Kovacs effects in an aging molecular liquid
• Investigation of the relation between local diffusivity and local inherent structures in the Kob-Andersen Lennard-Jones model
• Distributions of inherent structure energies during aging
• On the stupendous beauty of closure
• Fitting Effective Diffusion Models to Data Associated with a "Glassy Potential": Estimation, Classical Inference Procedures and Some Heuristics
• Liquid stability in a model for ortho-terphenyl
• Inherent Structures for Soft Long-Range Interactions in Two-Dimensional Many-Particle Systems