Volume 61, Number 6, March 2003
|Page(s)||769 - 775|
|Section||Condensed matter: structure, mechanical and thermal properties|
|Published online||01 March 2003|
Thermal fluctuations and anomalous elasticity of homogeneous nematic elastomers
Department of Physics, University of Colorado - Boulder, CO 80309, USA
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.
PACS: 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
© EDP Sciences, 2003
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