Thermodynamical Scaling of the Glass Transition Dynamics

Abstract

Classification of glass-forming liquids based on the dramatic change in their properties upon approach to the glassy state is appealing, since this is the most conspicuous and often-studied aspect of the glass transition. Herein, we show that a generalized scaling, log tau proportional to T^(-1)V^(-gamma), where gamma is a material-constant, yields superpositioning for ten glass-formers, encompassing van der Waals molecules, associated liquids, and polymers. The exponent gamma reflects the degree to which volume, rather than thermal energy, governs the temperature and pressure dependence of the relaxation times.

12 page, 4 figures

References in corpus (1)

• Neutron Scattering Studies of the Model Glass Former Ortho-terphenyl

Cited by in corpus (77)

• Bond orientational ordering in liquids: Towards a unified description of water-like anomalies, liquid-liquid transition, glass transition, and crystallization
• "Isomorphs" in liquid state diagrams
• Pressure-energy correlations in liquids. IV. "Isomorphs" in liquid state diagrams
• Spatial correlations in the dynamics of glassforming liquids: Experimental determination of their temperature dependence
• Thermodynamic Scaling of the Viscosity of Van Der Waals, H-Bonded, and Ionic Liquids
• Thermodynamic interpretation of the scaling of the dynamics of supercooled liquids
• Pressure-energy correlations in liquids. II. Analysis and consequences
• Strong pressure-energy correlations in van der Waals liquids
• Scaling the alpha-relaxation time of supercooled fragile organic liquids
• Scaling of the supercooled dynamics and its relation to the pressure dependences of the dynamic crossover and the fragility of glass-formers
• Thermodynamic scaling of diffusion in supercooled Lennard-Jones liquids
• Nonperturbative effect of attractive forces in viscous liquids
• Pressure-energy correlations in liquids. V. Isomorphs in generalized Lennard-Jones systems
• Beyond power-law density scaling: Theory, Simulation, and Experiment
• Density scaling as a property of strongly correlating viscous liquids
• Hidden scale invariance in molecular van der Waals liquids: A simulation study
• The role of attractive forces in viscous liquids
• An equation for the description of volume and temperature dependences of the dynamics of supercooled liquids and polymer melts
• Thermodynamics of condensed matter with strong pressure-energy correlations
• Temperature and Density Effects on the Local Segmental and Global Chain Dynamics of Poly(oxybutylene)
• Pressure-energy correlations and thermodynamic scaling in viscous Lennard-Jones liquids
• On the correlation between fragility and stretching in glassforming liquids
• Why liquids are fragile
• Effect of Volume and Temperature on the Global and Segmental Dynamics in Polypropylene Glycol and 1,4-polyisoprene
• Density scaling in viscous liquids: From relaxation times to four-point susceptibilities
• Scaling of the dynamics of flexible Lennard-Jones chains
• Determination of the Thermodynamic Scaling Exponent from Static, Ambient-Pressure Quantities
• Understanding the problem of glass transition on the basis of elastic waves in a liquid
• Scaling of the Local Dynamics and the Intermolecular Potential
• Dynamic Correlation Length Scales under Isochronal Conditions
• Two measures of isochronal superposition
• Thermodynamic scaling of vibrational dynamics and relaxation
• Glass-forming liquids: One or more "order" parameters?
• Effect of Chemical Structure on the Isobaric and Isochoric Fragility in Polychlorinated Biphenyls
• Scaling of Volumetric Data in Model Systems Based on the Lennard-Jones Potential
• Experimental evidence of a state-point dependent scaling exponent of liquid dynamics
• Density Scaling and Decoupling in o-Terphenyl, Salol, and Dibutyphthalate
• Entropy Basis for the Thermodynamic Scaling of the Dynamics of OTP
• Solid-liquid coexistence of the noble elements. II. Neon, krypton and xenon
• Solid-liquid coexistence of the noble elements. I. Theory illustrated by the case of argon
• Scaling Theory for Steady State Plastic Flows in Amorphous Solids
• Effect of entropy on the dynamics of supercooled liquids: New results from high pressure data
• Idealized glass transitions under pressure: dynamics versus thermodynamics
• Scaling of the dynamics of flexible Lennard-Jones chains. II. Effects of harmonic bonds
• Thermodynamic scaling of dynamics in polymer melts: Predictions from the generalized entropy theory
• Comparing dynamic correlation lengths from an approximation to the four-point dynamic susceptibility and from the picosecond vibrational dynamics
• Volume Effects on the Glass Transition Dynamics
• Generalized single-parameter aging tests and their application to glycerol
• Activation Volume in the Density Scaling Regime: Equation of State and Its Test by Using Experimental and Simulation Data
• Griffiths-like phase close to the Mott transition
• On the breakdown of the simple Arrhenius law in the normal liquid state
• A pathway towards proper modeling of physical properties
• Correlation of the scaling exponent of the diffusivity-density function in viscous liquids with their elastic properties
• Combined Description of Pressure-Volume-Temperature and Dielectric Relaxation of Several Polymeric and Low-Molecular-Weight Organic Glass-Formers using 'SL-TS2' Mean-Field Approach
• "Pseudoisomorphs" in liquids with intramolecular degrees of freedom
• Intermolecular distance and density scaling of dynamics in molecular liquids
• Equation of state in the generalized density scaling regime studied from ambient to ultra-high pressure conditions
• Tuning Pairwise Potential Can Control the Fragility of Glass-Forming Liquids: From Tetrahedral Network to Isotropic Soft Sphere Models
• On the experimental determination of the repulsive component of the potential from high pressure measurements: what is special about twelve?
• Thermodynamics and dynamics of the inherent states at the glass transition
• Role of entropy in the thermodynamic evolution of the time scale of molecular dynamics near the glass transition
• Density scaling and quasiuniversality of flow-event statistics for athermal plastic flows
• A test for the existence of isomorphs in glass-forming materials
• A perspective on the fragility of glass-forming liquids
• The variation of the dynamic susceptibility along an isochrone
• Hidden scale invariance at high pressures in gold and five other fcc metal crystals
• Dynamic Equivalence between Soft Star Polymers and Hard Spheres
• Density scaling of generalized Lennard-Jones fluids in different dimensions
• High pressure specific heat spectroscopy reveals simple relaxation behavior of glass forming molecular liquid
• Relations between the Material Mechanical Parameters and the Inter-particle Potential in Amorphous Solids
• A plausible interpretation of the density scaling of the diffusivity in viscous liquids
• The origin of the density scaling exponent for polyatomic molecules and the estimation of its value from the liquid structure
• Single parameter aging and density scaling
• In search of invariants for viscous liquids in the density scaling regime: Investigations of dynamic and thermodynamic moduli
• Exploring the expansion of the universe using the Grüneisen parameter
• Variation along liquid isomorphs of the driving force for crystallization
• Cellular Griffiths-like phase