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Article
Surface Phase Transitions in Nematic Liquid Crystals With Planar Anchoring
Physical Review E
  • R. Seidin
  • R. M. Hornreich
  • David W Allender, Kent State University - Kent Campus
Publication Date
4-15-1997
Document Type
Article
DOI
10.1103/PhysRevE.55.4302
Keywords
  • Induced Orientational Order,
  • Isotropic Phase,
  • Critical Point,
  • Landau Theory,
  • Thin Films,
  • Birefringence
Disciplines
Abstract
We calculate the thermodynamic phase diagram of a semi-infinite nematic liquid crystal system above its bulk ordering temperature for the case of planar boundary conditions. The latter are assumed to favor a uniaxially ordered surface state, characterized by a negative orientational order parameter, at sufficiently high temperatures. All symmetry-allowed terms either linearly or quadratically proportional to the tensor order parameter characterizing the transition to a biaxially ordered surface stale are included in the analysis. The Euler-Lagrange equations obtained by minimizing the Landau-de Gennes free energy expression are solved exactly by numerical methods, we find that both first- and second-order transitions are possible; they occur in different sections of the thermodynamic phase boundary separated by a line of tricritical points. In the second-order region, we evaluate the effect of fluctuations on this quasi-two-dimensional system by introducing the Berezinskii-Kosterlitz-Thouless mechanism, and calculating its effect on the phase boundary and nature of the transition. Possible ways of observing this phase transition experimentally are considered and some potentially useful techniques noted.
Comments

Copyright 1997 American Physical Society. Available on publisher's site at http://dx.doi.org/10.1103/PhysRevE.55.4302.

Citation Information
R. Seidin, R. M. Hornreich and David W Allender. "Surface Phase Transitions in Nematic Liquid Crystals With Planar Anchoring" Physical Review E Vol. 55 Iss. 4 (1997) p. 4302 - 4313
Available at: http://works.bepress.com/david_allender/19/