Universal Elasticity and Fluctuations of Nematic Gels

Details Universal Elasticity and Fluctuations of Nematic Gels Universal Elasticity and Fluctuations of Nematic Gels

2002-09-18

arxiv.org/abs/cond-mat/0209422v1

Phys. Rev. Lett., 90 (2003) 168301

Physics

Condensed Matter

Soft Condensed Matter

4 RevTeX pgs, submitted to PRL

Scientific paper

10.1103/PhysRevLett.90.168301

We study elasticity of spontaneously orientationally-ordered amorphous solids, characterized by a vanishing transverse shear modulus, as realized for example by nematic elastomers and gels. We show that local heterogeneities and elastic nonlinearities conspire to lead to anomalous nonlocal universal elasticity controlled by a nontrivial infared fixed point. Namely, at long scales, such solids are characterized by universal shear and bending moduli that, respectively, vanish and diverge at long scales, are universally incompressible and exhibit a universal negative Poisson ratio and a non-Hookean elasticity down to arbitrarily low strains. Based on expansion about five dimensions, we argue that the nematic order is stable to thermal fluctuation and local hetergeneities down to d_lc < 3.

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