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Poisson-bracket formulation of the dynamics of polar liquid crystals | | William Kung
; M. Cristina Marchetti
; Karl Sauders
; | | Date: |
25 Oct 2005 | | Abstract: | We develop the dynamical theory of polar liquid crystals with local $C_{infty v}$-symmetry using the general Poisson-bracket formalism. We obtain dynamical equations for the slow macroscopic fields that govern the dynamics in both the polarized and the isotropic phases. Starting from a microscopic definition of an alignment vector proportional to the polarization, we obtain Poisson bracket relations for the director field. The hydrodynamic equations differ from those of nematic liquid crystals ($D_{infty h}$) in that they contain terms violating the ${f{n}} o -{f{n}}$ symmetry. We find that the $mathcal{Z}_2$-odd terms induce a general splay instability of a uniform polarized state in a range of parameters. | | Source: | arXiv, cond-mat/0510652 | | Services: | Forum | Review | PDF | Favorites | |
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