Volume 61, Number 6, March 2003
|Page(s)||776 - 782|
|Section||Condensed matter: structure, mechanical and thermal properties|
|Published online||01 March 2003|
Anomalous elasticity of nematic elastomers
Department of Physics and Astronomy, University of Pennsylvania Philadelphia, PA 19104, USA
Accepted: 15 January 2003
We study the anomalous elasticity of nematic elastomers by employing the powers of renormalized field theory. Using general arguments of symmetry and relevance, we introduce a minimal Landau-Ginzburg-Wilson elastic energy for nematic elastomers. Performing a diagrammatic low-temperature expansion, we analyze the fluctuations of the displacement fields at and below the upper critical dimension 3. Our analysis reveals an anomaly of certain elastic moduli in the sense that they depend on the length scale. In this dependence is logarithmic and below it is of power law type with anomalous scaling exponents. One of the 4 relevant shear moduli vanishes at long length scales whereas the only relevant bending modulus diverges.
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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