Archivio Istituzionale della RicercaThe difficulties arising from the inclusion of term k 13 (div n div n) in the expression of the free energy density are discussed. It is shown that they are related to the fact that in this term second order spatial derivatives ni,jk of the nematic director n appear. Each term containing a second order derivative would give a distorted configuration of the director field. The global effect is zero in the bulk, owing to the divergence structure of the term, but different from zero near to the boundaries.
On the K13-dependent energy term in nematic liquid crystals / Barbero, Giovanni; Oldano, Claudio. - In: MOLECULAR CRYSTALS AND LIQUID CRYSTALS INCORPORATING NONLINEAR OPTICS. - ISSN 1044-1859. - 168:1(1989), pp. 1-5. [10.1080/00268948908045955]
On the K13-dependent energy term in nematic liquid crystals
BARBERO, GIOVANNI;OLDANO, Claudio
1989
Abstract
The difficulties arising from the inclusion of term k 13 (div n div n) in the expression of the free energy density are discussed. It is shown that they are related to the fact that in this term second order spatial derivatives ni,jk of the nematic director n appear. Each term containing a second order derivative would give a distorted configuration of the director field. The global effect is zero in the bulk, owing to the divergence structure of the term, but different from zero near to the boundaries.
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https://hdl.handle.net/11583/1660456
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