Molecular organization of nematic liquid crystals between concentric cylinders: role of the elastic anisotropy

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
C ChiccoliC Zannoni

Abstract

The orientational order in a nematic liquid crystal sample confined to an annular region between two concentric cylinders is investigated by means of lattice Monte Carlo simulations. Strong anchoring and homeotropic orientations, parallel to the radial direction, are implemented at the confining surfaces. The elastic anisotropy is taken into account in the bulk interactions by using the pair potential introduced by Gruhn and Hess [T. Gruhn and S. Hess, Z. Naturforsch. A 51, 1 (1996)] and parametrized by Romano and Luckhurst [S. Romano, Int. J. Mod. Phys. B 12, 2305 (1998); Phys. Lett. A 302, 203 (2002); G. R. Luckhurst and S. Romano, Liq. Cryst. 26, 871 (1999)], i.e., the so-called GHRL potential. In the case of equal elastic constants, a small but appreciable deformation along the cylinder axis direction is observed, whereas when the values of K(11)/K(33) if K(22)=K(33) are low enough, all the spins in the bulk follow the orientation imposed by the surfaces. For larger values of K(11)/K(33), spontaneous deformations, perpendicular to the polar plane, increase significantly. Our findings indicate that the onset of these deformations also depends on the ratio K(22)/K(33) and on the radius of the cylindrical surfaces. Although ex...Continue Reading

References

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Aug 1, 1994·Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics·D R Williams
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Oct 9, 2002·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·C ChiccoliC Zannoni
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Mar 10, 2010·The Journal of Chemical Physics·A V ZakharovSilvano Romano
Apr 7, 2010·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Giuseppe Bevilacqua, Gaetano Napoli
Dec 21, 2011·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·C ChiccoliC Zannoni

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Citations

Jun 3, 2015·Soft Matter·Tyler N Shendruk, Julia M Yeomans
Apr 20, 2016·Soft Matter·Hythem Sidky, Jonathan K Whitmer
Aug 15, 2015·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·R T Teixeira-SouzaC Zannoni

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