Abstract
ABSTRACT Nematic phase transition with both uniaxial and biaxial order parameters is studied in the two kind of external fields where are conjugate to the order parameters, respectively. A global phase diagram on the fields versus temperature space is obtained in the mean field theory, which is similar topologically to the phase diagram of the three-state Potts in three dimension. From this phase diagram, the phase diagram of the system in the uniaxial field is derived, and the result is applied to the phase transition of the thin system anchored uniaxially, i.e., by the homeotropic and planer walls.
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