SOLUTION OF THE OLDANO-BARBERO PARADOX

Citation
S. Stallinga et G. Vertogen, SOLUTION OF THE OLDANO-BARBERO PARADOX, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics, 53(2), 1996, pp. 1692-1700
Citations number
18
Categorie Soggetti
Physycs, Mathematical","Phsycs, Fluid & Plasmas
ISSN journal
1063651X
Volume
53
Issue
2
Year of publication
1996
Pages
1692 - 1700
Database
ISI
SICI code
1063-651X(1996)53:2<1692:SOTOP>2.0.ZU;2-T
Abstract
The appearance of the splay-bend elastic constant K-13 in the theory o f elasticity of nematic liquid crystals causes a serious problem. This problem is known as the Oldano-Barbero paradox. The approaches of Bar bero et al., Faetti, and Pergamenshchik for solving this paradox are a nalyzed in view of two starting points of the continuum theory. The an alysis clearly shows the imperfections of their treatments. In order t o remedy these imperfections a proposal is made to eliminate the parad ox in accordance with the assumptions of the continuum theory. The sol ution requires a modification of the surface free energy density, name ly, the derivatives of the director field normal to the surface must b e excluded.