Abstract
We review a recent theoretical progress in understanding equilibrium thermal fluctuations of smectic A liquid crystals. It is based on a relationship of smectics A to a rather different physical problem, namely, the Kardar-Parisi-Zhang (KPZ) dynamical model for interfaces growing in the presence of a flux of incoming particles. This relationship provides an exact approach to study Landau-Peierls phenomena in two-dimensional smectics and reveals the existence of novel elastic critical point in three-dimensional smectics A with broken inversion symmetry.
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