Thermal fluctuations and anomalous elasticity of homogeneous nematic elastomers
arXiv:cond-mat/0212206 · doi:10.1209/epl/i2003-00300-9
Abstract
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.
arXiv comment4 RevTeX pgs,,submitted to Europhysics Letters
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