Translational and Rotational Motion of a Uniaxial Liquid Crystal as Derived Using Hamilton's Principle of Least Action

@inproceedings{Edwards2005TranslationalAR,
  title={Translational and Rotational Motion of a Uniaxial Liquid Crystal as Derived Using Hamilton's Principle of Least Action},
  author={Brian J Edwards},
  year={2005}
}
Abstract The conservative dynamics of the Leslie–Ericksen (LE) Model of a uniaxial liquid crystal are rederived using Hamilton’s Principle of Least Action. This derivation is performed for two purposes: first, to illustrate that variational principles apply to even very complicated fluidic materials, and, secondly, to derive the noncanonical Poisson bracket that generates the conservative dynamics of the LE Model. Although the dissipative mechanisms in the LE Model can be and have been derived… CONTINUE READING

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Equivalent variational approaches to biaxial liquid crystal dynamics

  • Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences
  • 2015
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