S. Tang et Gt. Evans, COHERENT TRANSLATION AND LIBRATION AS SEEN BY A SHEAR VISCOSITY OF A CLASSICAL HARD-SPHERE FLUID, The Journal of chemical physics, 103(4), 1995, pp. 1544-1552
Thermodynamic transport properties, such as a shear viscosity, can pro
vide evidence of coherent phenomena. In a dilute gas, the coherence ta
kes the form of free translation interrupted by collisions and this ef
fect is reflected in the wavevector dependence of the shear viscosity.
In a dense fluid, near the solidification transition or in a glass, t
he viscosity begins to diverge as a consequence of highly correlated r
ecollisions. In this work, a generalized Langevin formulation of the k
inetic theory of hard spheres is used to calculate the shear viscosity
in these two limiting regimes. In the collision dominant (i.e., cagin
g) regime, the divergence of the shear viscosity can be compensated by
the vanishing self diffusion coefficient. The D eta product is well b
ehaved, illustrates aspects of Stokes-Einstein behavior, in rough acco
rd with the hydrodynamic predictions (obtained using slip boundary con
ditions) and suggests a Stokes-Einstein breakdown in accord with exper
iments on glassy ortho-terphenyl liquids. (C) 1995 American Institute
of Physics.