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🆕 Date Issued:
1989
🗄 In DepositOnce:2018-12-18
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Derivation and Application of an Algorithm for the Numerical Calculation of the Local Orientation of Nematic Liquid Crystals

Kilian, A.; Hess, Siegfried

Starting from a relaxation equation for the alignment tensor, an algorithm is derived which allows the numerical calculation of the dynamic and static behavior of the director field n with the correct nematic symmetry property, where n and - n are equivalent. As a first application, a two-dimensional problem is treated where the typical nematic defects with half-integer winding numbers only occur when the algorithm with the correct nematic symmetry property is used. Furthermore, the method is applied to the static and dynamic behavior of a Frederiks cell with strong and weak anchoring.
nematicliquid crystalFrederiks cell
Published in: Zeitschrift für Naturforschung A, 10.1515/zna-1989-0801, De Gruyter
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