Fh. Stillinger et al., RESOLVING VIBRATIONAL AND STRUCTURAL CONTRIBUTIONS TO ISOTHERMAL COMPRESSIBILITY, The Journal of chemical physics, 109(10), 1998, pp. 3983-3988
The well-known and general ''compressibility theorem'' for pure substa
nces relates kappa(T) = -(partial derivative ln V/partial derivative P
)(N,T) to a spatial integral involving the pair correlation function g
((2)). The isochoric inherent structure formalism for condensed phases
separates g(2) into two fundamentally distinct contributions: a gener
ally anharmonic vibrational part, and a structural relaxation part. On
ly the former determines kappa(T) for low-temperature crystals, but bo
th operate in the liquid phase. As a supercooled liquid passes downwar
d in temperature through a glass transition, the structural contributi
on to kappa(T) switches off to produce the experimentally familiar dro
p in this quantity. The Kirkwood-Buff solution theory forms the starti
ng point for extension to mixtures,with electroneutrality conditions c
reating simplifications in the case of ionic systems. (C) 1998 America
n Institute of Physics. [S0021-9606(98)50634-4].