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VOLUME 55 (1992) | ISSUE 5 |
PAGE 275
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Cholesteric-nematic texture transition in liquid crystals
Golo V. L., Kats E. I.
The cholesteric-nematic phase transition which occurs in a thin layer of a liquid crystal upon a change in the pitch of the helix or the thickness of the layer is analyzed. A geometric analog of the Ritz-Galerkin variational method is proposed for calculating the energy of various textures of a liquid crystal. Contours in order-parameter space which describe the configuration of one-dimensional textures of a liquid crystal are used as trial functions. Several metastable states exist (there is a multistability). There are also regions in which the various states of a cholesteric spiral remain nearly constant (at the accuracy level of the variational method used here). The physical meaning of this result is an additional degeneracy of the system.
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