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Published October 26, 1992 | Published
Journal Article Open

Anharmonic elasticity of smectics A and the Kardar-Parisi-Zhang model


We relate anharmonic equilibrium thermal fluctuations of smectics A to fluctuations of the Kardar-Parisi-Zhang (KPZ) dynamical model for a growing interface. The KPZ model in 1+1 dimensions is one to one related to a 2D smectic elastic model whose scaling behavior is then obtained exactly. The KPZ model in 2+1 dimensions maps into an elastic critical point of 3D smectics A with broken inversion symmetry (head-to-tail packing of layers). We discuss the elasticity and fluctuations of these novel smectic-A phases.

Additional Information

©1992 The American Physical Society. Received 7 August 1992. We thank Tom Lubensky and Robijn Bruinsma for useful discussions. This work was supported in part by the Camille and Henry Dreyfus Foundation. Note added. -- After this work was done, a related work, Ref. [21], was brought to our attention.

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