Lateral and normal forces between patterned substrates induced by nematic fluctuations

Details Lateral and normal forces between patterned substrates induced by nematic fluctuations Lateral and normal forces between patterned substrates induced by nematic fluctuations

2005-12-10

arxiv.org/abs/cond-mat/0512217v1

Physics

Condensed Matter

Soft Condensed Matter

9 pages, 9 figures

Scientific paper

10.1103/PhysRevE.73.051708

We consider a nematic liquid crystal confined by two parallel flat substrates whose anchoring conditions vary periodically in one lateral direction. Within the Gaussian approximation, we study the effective forces between the patterned substrates induced by the thermal fluctuations of the nematic director. The shear force oscillates as function of the lateral shift between the patterns on the lower and the upper substrates. We compare the strength of this fluctuation-induced lateral force with the lateral van der Waals force arising from chemically structured adsorbed monolayers. The fluctuation-induced force in normal direction is either repulsive or attractive, depending on the model parameters.

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