On the Temperature Dependence of Cooperative Relaxation Properties in Glass‐Forming Liquids

  title={On the Temperature Dependence of Cooperative Relaxation Properties in Glass‐Forming Liquids},
  author={Gerold Adam and Julian H. Gibbs},
  journal={Journal of Chemical Physics},
A molecular‐kinetic theory, which explains the temperature dependence of relaxation behavior in glass‐forming liquids in terms of the temperature variation of the size of the cooperatively rearranging region, is presented. The size of this cooperatively rearranging region is shown to be determined by configuration restrictions in these glass‐forming liquids and is expressed in terms of their configurational entropy. The result of the theory is a relation practically coinciding with the… 

Tables from this paper

Effect of pressure on the cooperative relaxation properties and glass transition temperature of amorphous polymers
Abstract The Adam and Gibbs (AG) theory which describes the cooperative relaxation phenomena in the main transition region in terms of the configurational entropy of the system has been extended to
Enthalpy relaxation in polymeric glasses
Constitutive equations are derived for enthalpy recovery in a glassy polymer after quench from above the glass transition temperature T g to a temperature T in the sub-T g region. The model is based
Temperature Dependence of Configurational Entropy on Structural Relaxation Function in Glass-Forming Liquids
A direct correlation between the stretched exponent, β(T), of relaxation functions and configurational entropy of the Adam–Gibbs's theory on cooperatively rearranging region (CRR) in glass-forming
Temperature dependence of intermediate-range orders in the viscosity-temperature relationship of supercooled liquids and glasses.
It is shown that the glass transition is a phase transition from an equilibrium Vogel-Fulcher-Tamman state to a nonequilibrium and (meta-)stable Arrhenius state through fluctuations at T(g), and a microscopic feature of theGlass transition is the self-organization of the IROs.
Advances in the generalized entropy theory of glass-formation in polymer melts.
The generalized entropy theory of polymeric glass-forming liquids is reformulated into a computationally simpler and more natural formalism that greatly facilitates establishing essential trends in the dependence of the segmental relaxation time τ, fragility, characteristic temperatures of glass-formation, etc., on the combined influences of monomer molecular structure, chain rigidity, and cohesive interaction strength.
Thermodynamic aspects of the glass transition phenomenon. II. Molecular liquids with variable interactions
As a contribution to the understanding of the thermodynamics of the glass transition phenomenon a series of molecules having the same steric character, but differing in the strength and nature of


Some Thermodynamic Aspects of the Glass Transition: Free Volume, Entropy, and Enthalpy Theories
The well‐known equation of Davies and Jones for the pressure dependence of the glass transition temperature, dTg/dP=Δβ/Δα=TgVΔα/ΔCp, depends on two independently testable hypotheses: that a
Chain Stiffness and the Lattice Theory of Polymer Phases
General formulas for the thermodynamic properties of amorphous polymer phases are obtained from statistical mechanics, with the aid of the lattice model, in a manner which avoids the use of
Molecular Transport in Liquids and Glasses
We have derived, by using simple considerations, a relation between the diffusion constant D in a liquid of hard spheres and the ``free volume'' vf. This derivation is based on the concept that
The free volume interpretation of the dependence of viscosities and viscoelastic relaxation times on concentration, pressure, and tensile strain
SummaryThe free volume interpretation of the dependence of relaxation times and viscosities on temperature can be extended to their dependence on concentration, pressure, and tensile strain. The
Derivation of the WLF Equation for the Mobility of Molecules in Molten Glasses
A previous theory for the mobility of molecules in glasses near the glass temperature has been extended in an effort to deduce the semiempirical relation proposed by Williams, Landel, and Ferry. By
The heat capacity of linear and branched polyethylene
The heat capacity of linear and branched polyethylene has been measured over the temperature range from 90°K. through the melting point. These and lower temperature data in the literature have been
Specific Heat of Atactic and Isotactic Polypropylene and the Entropy of the Glass
The specific heat of atactic and isotactic polypropylene has been measured from 80° to 490°K. The isotactic sample was 64.9% crystalline, as determined by specific volume, and the atactic sample was
Dielectric Relaxation in Glycerol, Propylene Glycol, and n‐Propanol
Complex dielectric constants have been measured at frequencies from below 20 c/s to 5 mc/s over the temperature range −40° to −75°C in glycerol, −45° to −90° in propylene glycol, and −80° to −140° in
Viscoelastic properties of polymers
  • J. Ferry
  • Materials Science, Engineering
  • 1961
The Nature of Viscoelastic Behavior. Illustrations of Viscoelastic Behavior of Polymeric Systems. Exact Interrelations among the Viscoelastic Functions. Approximate Interrelations among the Linear
Molekularkinetische Theorie der Volumenrelaxation amorpher Hochpolymerer
ZusammenfassungDen Verlauf der isothermen Nachwirkung des Volumens von amorphen Vinylpolymeren erhält man aus der Zeitabhängigkeit der Besetzungszahlen der Niveaus zwischen- und intramolekularer