External and intrinsic anchoring in nematic liquid crystals: A Monte Carlo study

Details External and intrinsic anchoring in nematic liquid crystals: A Monte Carlo study External and intrinsic anchoring in nematic liquid crystals: A Monte Carlo study

2002-10-08

arxiv.org/abs/cond-mat/0210165v2

Physical Review E 68, 041709 (2003)

Physics

Condensed Matter

Soft Condensed Matter

Revisions primarily in section IV

Scientific paper

10.1103/PhysRevE.68.041709

We present a Monte Carlo study of external surface anchoring in nematic cells with partially disordered solid substrates, as well as of intrinsic anchoring at free nematic interfaces. The simulations are based on the simple hexagonal lattice model with a spatially anisotropic intermolecular potential. We estimate the corresponding extrapolation length $b$ by imposing an elastic deformation in a hybrid cell-like nematic sample. Our estimates for $b$ increase with increasing surface disorder and are essentially temperature--independent. Experimental values of $b$ are approached only when both the coupling of nematic molecules with the substrate and the anisotropy of nematic--nematic interactions are weak.

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