References
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- The director n is a unit vector along the major principal axis of the second-rank orientational order tensor, averaged over a microscopic volume at r .
- Throughout this work we adopt the one-constant approximation, i.e. we assume that the curvature elastic constants associated with splay, twist, and bend deformations are equal .
- Macroscopic susceptibility measurements average over director fluctuations and hence yield the quantity SΔx, with S the uniaxial order parameter defined in §3 .
- For the classical configurations (β=π/2 and Δπ>O, or β= 0 and Δπ>0), equation (2) predicts a Fréedericksz transition at q-π=2, whereas the director fluctuations in equation (16) diverge at q-ζ=1. The difference is presumably due to the use of a spherical cut-off in our treatment of director fluctuations.
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- In [15], the biaxial relaxation behaviour for the ND phase (Δχ>0) was not recognized, with the consequence that the curvature elastic constant K reported for the ND phase is a factor 1/√2 too small, while the reported 1 –Sdir is a factor √ too large.