S. Blenk, H. Ehrentraut and W. Muschik
Orientation balances for Liquid Crystals and their
representation by alignment tensors
Mol. Cryst. Liqu. Cryst. 204, 1991, 133-141
Starting out with statistically founded global balance equations
formulated on the double phase space (position and orientation) we get
local balance equations for mass, momentum, spin, and internal
energy on the position part of this doubled phase space including the
microscopic director as variable. Expansion of the distribution
function concerning the orientations of the microscopic directors
yields an alignment tensor balance. Its production term disappears
with vanishing orientation-diffusion and
orientation-relaxation. Diffusion ansatzes as constitutive equations
yield a simplified alignment tensor balance.