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Dynamics of nematic elastomers.

Olaf Stenull1, T C Lubensky

  • 1Department of Physics and Astronomy, University of Pennsylvania, Philadelphia, Pennsylvania 19104, USA.

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|July 13, 2004
PubMed
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We investigated the dynamics of nematic elastomers using two theories. Soft elastomers exhibit sound-mode structures similar to columnar liquid crystals, with a second theory describing director dynamics beyond standard hydrodynamics.

Area of Science:

  • Soft Matter Physics
  • Polymer Science
  • Liquid Crystal Physics

Background:

  • Nematic elastomers exhibit unique mechanical and director dynamics.
  • Understanding low-frequency, long-wavelength behavior is crucial for material applications.

Purpose of the Study:

  • To investigate the dynamic theories of soft and semisoft nematic elastomers.
  • To analyze the hydrodynamic behavior and director dynamics.
  • To compare sound-mode structures with other soft materials.

Main Methods:

  • Developed two related dynamic theories for nematic elastomers.
  • Formulation 1: Pure hydrodynamic behavior with relaxed director.
  • Formulation 2: Generalized nematohydrodynamics, treating director explicitly.

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Main Results:

  • Identified identical sound-mode structures in soft elastomers and columnar liquid crystals.
  • The second formulation describes slow modes beyond the hydrodynamic limit.
  • Explicitly treated director dynamics in the generalized theory.

Conclusions:

  • The study provides insights into the low-frequency dynamics of nematic elastomers.
  • Findings offer a basis for understanding complex behaviors in soft materials.
  • The generalized theory extends nematohydrodynamics to elastomer systems.