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Published April 1994 | Published + Erratum
Journal Article Open

Kardar-Parisi-Zhang model and anomalous elasticity of two- and three-dimensional smectic-A liquid crystals

Abstract

We reveal a deep theoretical relationship between equilibrium statistical physics of smectic-A liquid crystals and nonequilibrium statistical physics of the Kardar-Parisi-Zhang dynamical model [M. Kardar, G. Parisi, and Y.-C. Zhang, Phys. Rev. Lett. 56, 889 (1986)] for interfaces growing in the presence of a flux of incoming particles. This relationship provides an exact approach to study Landau-Peierls phenomena and anomalous elasticity of two-dimensional smectic-A liquid crystals. Also, it yields prediction of an unusual elastic critical point in three-dimensional smectic-A liquid crystals with broken inversion symmetry (head-to-tail packing of layers). We discuss the elasticity and fluctuations of these unusual smectic-A phases.

Additional Information

©1994 The American Physical Society. Received 4 October 1993. We are grateful to Tom Lubensky and Robijn Bruinsma for discussions. Z.G.W. acknowledges support of the Camille and Henry Dreyfus Foundation. [L.G. acknowledges suuport of the National Science Foundation -- West Virginia Experimental Program to Stimulate Competitive Research.]

Errata

Erratum: Kardar-Parisi-Zhang model and anomalous elasticity of two- and three-dimensional smectic-A liquid crystals [Phys. Rev. E 49, 2567 (1994)]. Phys. Rev. E 50, 4265 (1994).

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Published - GOLpre94.pdf

Erratum - GOLpre94corr.pdf

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