Cx. Wu et M. Iwamoto, POLAR ORIENTATIONAL PHASE-TRANSITION IN SMECTIC MONOLAYERS INDUCED BYMONOLAYER, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics, 57(5), 1998, pp. 5740-5743
Taking into consideration the mean electric field produced by a molecu
lar configuration, a self-consistent-field state equation is derived t
o describe the behavior of polar smectic phase for monolayers. A gener
al equation of orientational phase transition between a normal-directo
r phase and a tilted-director phase induced by monolayer compression f
or monolayers is obtained. It was revealed that smectic monolayers sho
w a possible second-order orientational phase transition under a neces
sary condition 4-16/g(y)<g(z)<g(y)/4, Here g(y) and g(z) are two param
eters proportional to the internal electric fields in the directions p
arallel and perpendicular to the monolayer surface, respectively. The
two-dimensional orientational phase transition theory developed here m
ay reveal such a transition in smectic monolayers by some techniques,
for example, the Maxwell-displacement-current measuring technique.