In
this work, we report a Density Functional Theory based study
of phase behavior of lyotropic liquid-crystalline polymers under both
good and varying solvent conditions in the presence of external electric
or magnetic field. Our microscopic model for the good solvent case
is based on the tangent hard-sphere chain with bond-bending potential
to account for the chain stiffness; the variable solvent quality is
modeled by adding attractive monomer–monomer interactions.
The phase diagrams are constructed in three intensive variables (temperature,
pressure, and field strength), and are characterized by the presence
of critical and triple lines, which originate from the critical and
triple points of the corresponding zero-field case. The merging of
critical and triple lines results in the appearance of the “double
critical” and “critical triple” points, already
known from the earlier studies of the phase behavior of spin fluids
in magnetic fields. The important difference of the present model
from the spin fluids is due to the finite stiffness of the polymer
chains (characterized by their persistence length), which adds an
additional parameter controlling the morphology of the phase diagrams.