C. Papenfuss and W. Muschik
Constitutive Theory for two dimensional liquid crystals
Mol. Cryst. Liq. Cryst. 262, 1995, 473-484
Two dimensional liquid crystals are considered as mathematical
surfaces of discontinuity of the bulk fields. The equations of motion
for the relevant surface fields in the presence of electromagnetic
fields are summarized. These are the mechanical balance equations,
Maxwell's equations, and an equation of motion for the second order
alignment tensor. The restrictions to constitutive functions implied
by the second law of thermodynamics are discussed. The stress tensor
can be calculated in the frame of this phenomenological theory. For
the alignment production a statistical background is needed, what is
very shortly outlined.