Av. Granato, THERMODYNAMIC AND KINETIC-PROPERTIES OF AMORPHOUS AND LIQUID STATES, Metallurgical and materials transactions. A, Physical metallurgy andmaterials science, 29(7), 1998, pp. 1837-1843
The magnitude and temperature dependence of the liquid state shear mod
ulus G, specific heat C-p, diffusivity D, and viscosity eta should all
be closely related, according to the interstitialcy model, if a recen
t proposal by Dyre et al. is generally true. They suppose that the vis
cosity is given by eta = eta(0) exp (F/kT), where eta(0) is a referenc
e viscosity and F is given by the work required to shove aside neighbo
ring particle in a diffusion process, where F = GV(c) and V-c is a cha
racteristic volume. In the interstitialcy model the high frequency the
rmodynamic liquid state shear modulus is given by G(T) = G, exp [-gamm
a(T/T-0 - 1)], where G(0) is the shear modulus at a reference temperat
ure T-0, which can be taken as the glass temperature. The resulting no
n-Arrhenius behavior of the viscosity is compared with experimental da
ta. A critical quantitative analysis for a Zr41.2Ti13.8Cu12.5 Ni10Be22
5 alloy does not support the shoving model, but the thermodynamic prop
erties can be understood in terms of mixed interstitials composed of m
etal-beryllium complexes.