Theory of polar biaxial nematic phases

Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics

Volumn 66, Issue 3, 2002, Pages

  Mettout, Bruno ^a   Tolédano, Pierre ^a,b   Takezoe, Hideo ^b   Watanabe, Junji ^b  

^a EUROPEAN SYNCHROTRON RADIATION FACILITY   (France)

^b TOKYO INSTITUTE OF TECHNOLOGY   (Japan)

Author keywords

[No Author keywords available]

Indexed keywords

COALESCENCE; CRYOGENICS; GIBBS FREE ENERGY; MELTING; NUCLEAR MAGNETIC RESONANCE SPECTROSCOPY; PHASE SEPARATION; PORE SIZE; POROSITY; POROUS MATERIALS;

BINARY LIQUID MIXTURES; CRYOPOROMETRY; GIBBS-THOMPSON RELATION; MOLECULAR SELF-DIFFUSION;

BINARY MIXTURES;

ARTICLE;

EID: 37649030282     PISSN: 1063651X     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevE.66.031701     Document Type: Article

References (29)

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20. The second term in brackets corresponds to (Formula presented) where (Formula presented) (Formula presented) are the unit vectors along x and y. (Formula presented) is the rotation matrix (Formula presented) and (Formula presented) are the directions in the molecular vector space along the molecular polarization, and in the perpendicular plane, respectively. (Formula presented) is taken normal to the molecular mirror plane. Note that a (Formula presented) term, where (Formula presented) is a third vector order parameter, is forbidden by the (Formula presented) molecular symmetry.
21. Equation (2) neglects the secondary order parameters transforming as higher-rank tensors and corresponding to terms proportional to (Formula presented)
22. The effective molecular symmetry depends on the macroscopic symmetry, but these two symmetries do not influence one another in a simple way. For example, in the conventional centrosymmetric uniaxial nematic phase with macroscopic (Formula presented) symmetry the molecules having the symmetry (Formula presented) reach an effective symmetry (Formula presented) The continuous effective symmetry in the polar uniaxial nematic phase results from the absence of the Euler angle α in the corresponding distribution function, as defined by Eq. (2).
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