Dirt Softens Soap: Anomalous Elasticity of Disordered Smectics

Details Dirt Softens Soap: Anomalous Elasticity of Disordered Smectics Dirt Softens Soap: Anomalous Elasticity of Disordered Smectics

1997-01-02

arxiv.org/abs/cond-mat/9701008v2

Phys. Rev. Lett. 78, 4414 (1997)

Physics

Condensed Matter

Soft Condensed Matter

4 RevTeX pgs, 1 ps figure; Slightly revised, published version

Scientific paper

10.1103/PhysRevLett.78.4414

We show that a smectic in a disordered medium (e.g., aerogel) exhibits anomalous elasticity, with the compression modulus B(k) vanishing and the bend modulus K(k) diverging as k --> 0. In addition, the effective disorder develops long ranged correlations. These divergences are much stronger than those driven by thermal fluctuations in pure smectics, and are controlled by a zero temperature glassy fixed point, which we study in an $\epsilon=5-d$ expansion. We discuss the experimental implications of these theoretical predictions.

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