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Fluctuating nematic elastomer membranes.

Xiangjun Xing1, Ranjan Mukhopadhyay, T C Lubensky

  • 1Department of Physics, University of Colorado, Boulder, Colorado 80309, USA.

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|October 4, 2003
PubMed
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We investigate nematic elastomer membranes, finding their unique elastic properties are governed by a stable fixed point. This point dictates anomalous elastic moduli and finite bending rigidity, crucial for understanding these materials.

Area of Science:

  • Soft Matter Physics
  • Materials Science
  • Continuum Mechanics

Background:

  • Nematic elastomer membranes exhibit unique mechanical properties due to spontaneous symmetry breaking.
  • The flat phase is characterized by vanishing shear modulus and soft transverse phonons.
  • Thermal fluctuations and nonlinearities significantly impact membrane behavior.

Purpose of the Study:

  • To analyze the anomalous elasticity of nematic elastomer membranes.
  • To generalize the study to D-dimensional membranes in d-dimensional space.
  • To investigate the role of thermal fluctuations and nonlinearities.

Main Methods:

  • Generalization of 2D membranes to D-dimensional membranes in d-dimensional space.
  • Analysis in an expansion about D=4.

Related Experiment Videos

  • Investigation of harmonic and nonlinear elastic properties.

    • Main Results:

    • Identification of a stable fixed point governing long-scale properties.
    • Characterization of singular in-plane elastic moduli vanishing as a power law (eta(lambda)=4-D).
    • Determination of finite bending rigidity.

    Conclusions:

    • The stable fixed point provides a universal description of nematic elastomer membrane elasticity near D=4.
    • Predictions are asymptotically exact near four dimensions.
    • The study offers insights into the anomalous elastic behavior of these materials.