Generalised descriptions on orientational order parameters and mean field theory for uniaxial and biaxial nematic liquid crystals

2015 ◽  
Vol 43 (1) ◽  
pp. 32-48 ◽  
Author(s):  
Chong Hoon Kwak ◽  
Gun Yeup Kim
Keyword(s):  
Field Theory ◽  
Liquid Crystals ◽  
Nematic Liquid Crystals ◽  
Mean Field Theory ◽  
Orientational Order ◽  
Mean Field ◽  
Order Parameters ◽  
Biaxial Nematic

Molecular Polarizabilities and Orientational Ordering of Two Mesogens

1991 ◽  
Vol 46 (10) ◽  
pp. 858-864 ◽  
Author(s):  
M. Mitra ◽  
S. Paul ◽  
R. Paul
Keyword(s):  
Field Theory ◽  
Liquid Crystalline ◽  
Mean Field Theory ◽  
Orientational Order ◽  
Mean Field ◽  
Continuum Theory ◽  
Order Parameters ◽  
Liquid Phases ◽  
Molecular Polarizabilities ◽  
The Mean

AbstractThe refractive indices (no, ne) and densities of two mesogens have been measured in their liquid crystalline and liquid phases. The molecular polarizabilities (xo, xe) were evaluated by Vuks' and Neugebauer's relations. The polarizabilities thus obtained are compared with those estimated from the bond polarizabilities, and the orientational order parameters, <P2>, are compared with the mean field theory of Maier and Saupe, the modified mean field theory of Humphries, James and Luckhurst. and the continuum theory suggested by T. E. Faber. We have also calculated the three order parameters (<P2), τ, σ) describing the smectic A phase following McMillan's model. Possible causes of the discrepancy are discussed.

Mean Field Theory of Binary Mixtures of Nematic Liquid Crystals

1985 ◽  
Vol 127 (1) ◽  
pp. 301-319 ◽  
Author(s):  
P. Palffy-muhoray ◽  
J. J. De Bruyn ◽  
D. A. Dunmur
Keyword(s):  
Field Theory ◽  
Liquid Crystals ◽  
Binary Mixtures ◽  
Nematic Liquid Crystals ◽  
Mean Field Theory ◽  
Mean Field

A mean field theory of SmCA* liquid crystals

1993 ◽  
Vol 148 (1) ◽  
pp. 59-70
Author(s):  
Masahiro Nakagawa
Keyword(s):  
Field Theory ◽  
Liquid Crystals ◽  
Mean Field Theory ◽  
Mean Field
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