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Original Articles

Non-Equilibrium Phase Transitions in Nematic Liquid Crystals under Shear Flow†

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Pages 265-271 | Received 15 Aug 1990, Published online: 24 Sep 2006

References

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  • Olmsted , P. D. and Goldbart , P. M. 1990 . Phys. Rev. , A41 : 4578
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  • de Groot , S. and Mazur , P. 1962 . Non-Equilibrium Thermodynamics , Amsterdam : North-Holland .
  • Lubensky , T. C. 1970 . Phys. Rev. , A2 : 2497 For a description of the order parameter for a nematic liquid crystal see
  • de Gennes , P. G. 1975 . The Physics of Liquid Crystals , Oxford : Clarendon Press .
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  • We note, in passing, that planar Couettc flow has biaxial symmetry
  • As an alternative to the present phenomenological approach, one can develop a picture in terms of molecular distribution functions; see References 3 and 4
  • Vertogen , G. and de Jeu , W. H. 1988 . Thermotropic Liquid Crystals, Fundamentals , Bcrlin : Springer .
  • Whether we work at fixed shear stress or fixed shear rate is a matter of convenience, and is analogous to exchanging density for pressure in a liquid-gas system
  • de Gennes , P. G. 1971 . Mol. Cryst. Liq. Cryst. , 12 : 193
  • Landau , L. D. and Lifshitz , E. M. 1980 . Statistical Physics , Oxford : Pergamon . See, for example
  • Press , W. H. , Flannery , B. P. , Teukolsky , S. A. and Vetterling , W. T. 1986 . Numerical Recipes , Cambridge University Press .

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