Europhys. Lett., 61 (6) , pp. 769-775 (2003)
Thermal fluctuations and anomalous elasticity of homogeneous nematic elastomersX. Xing and L. Radzihovsky
Department of Physics, University of Colorado - Boulder, CO 80309, USA
(Received 10 December 2002; accepted 15 January 2003)
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 dimensions. In three dimensions, we make predictions that are asymptotically exact.
61.41.+e - Polymers, elastomers, and plastics.
64.60.Fr - Equilibrium properties near critical points, critical exponents.
64.60.Ak - Renormalization-group, fractal, and percolation studies of phase transitions.
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