Thermal fluctuations and anomalous elasticity of homogeneous nematic elastomers

Details Thermal fluctuations and anomalous elasticity of homogeneous nematic elastomers Thermal fluctuations and anomalous elasticity of homogeneous nematic elastomers

2002-12-10

arxiv.org/abs/cond-mat/0212206v1

Europhysics Letters 61, 769 (2003)

Physics

Condensed Matter

Soft Condensed Matter

4 RevTeX pgs,,submitted to Europhysics Letters

Scientific paper

10.1209/epl/i2003-00300-9

We present a unified formulation of a rotationally invariant nonlinear elasticity for a variety of spontaneously anisotropic phases, and use it to study thermal fluctuations in nematic elastomers and spontaneously anisotropic gels. We find that in a thermodynamic limit homogeneous nematic elastomers are universally incompressible, are characterized by a universal ratio of shear moduli, and exhibit an anomalous elasticity controlled by a nontrivial low temperature fixed point perturbative in D=3-epsilon dimensions. In three dimensions, we make predictions that are asymptotically exact.

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