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J Phys Condens Matter. 2014 Feb 19;26(7):075103. doi: 10.1088/0953-8984/26/7/075103. Epub 2014 Jan 22.

Pseudo-Casimir interactions across nematic films with disordered anchoring axis.

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  • 1Faculty of Physics, Kharazmi University, Karaj 31979-37551, Iran.

Erratum in

  • J Phys Condens Matter. 2014 Apr 30;26(17):179501.


We study the effective pseudo-Casimir interaction forces mediated by a nematic liquid-crystalline film bounded by two planar surfaces, one of which imposes a random (disordered) distribution of the preferred anchoring axis in the so-called easy direction. We consider both the case of a quenched as well as an annealed disorder for the easy direction on the disordered surface and analyze the resultant fluctuation-induced interaction between the surfaces. In the case of quenched disorder, we show that the disorder effects appear additively in the total interaction and are dominant at intermediate inter-surface separations. Disorder effects are shown to be unimportant at both very small and very large separations. In the case of annealed disorder its effects are non-additive in the total inter-surface interaction and can be rationalized in terms of a renormalized extrapolation length.

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