17
Views
5
CrossRef citations to date
0
Altmetric
Original Articles

Induced Nearest-Neighbor Bond Orientational Ordering and Structural Transformation in a Two-Dimensional Liquid Crystal Model

, &
Pages 177-188 | Received 25 Aug 1990, Published online: 04 Oct 2006

References

  • Pershan , P. S. 1988 . Structure of Liquid Crystal Phases , Singapore : World Scientific . See, for a recent review of the experimental work on FSSLCFs.
  • Strandburg , K. J. 1988 . Rev. Mod. Phys. , 60 : 161 See, for a review of 2D melting.
  • Birgeneau , R. J. and Litster , J. D. 1978 . J. Phys. Lett. (Paris) , 39 : L-399
  • Cheng , M. , Ho , J. T. , Hui , S. W. and Pindak , R. 1988 . Phys. Rev. Lett. , 61 : 550
  • Holdsworth , P. C. W. , Gingras , M. J. P. , Bergersen , B. and Chan , E. 1989 . Phys. Scr. , 39 : 613
  • Gingras , M. J. P. , Holdsworth , P. C. W. and Bergersen , B. 1989 . Europhys. Lett. , 9 : 579 M. J. P. Gingras, P. C. W. Holdsworth and B. Bergersen, Phys. Rev. A, 41, 6786 (1990).
  • Nelson , D. R. and Halperin , B. I. 1980 . Phys. Rev. B , 21 : 5312
  • Bruinsma , R. and Nelson , D. R. 1981 . Phys. Rev. B , 23 : 402
  • Brock , J. D. , Aharony , A. , Birgeneau , R. J. , Evans-Lutterodt , K. W. , Litster , J. D. , Horn , P. M. , Stephenson , G. B. and Tajbakhsh , A. R. 1986 . Phys. Rev. Lett. , 57 : 98 J. D. Brock, D. Y. Noh, B. R. McClain, J. D. Litster, R. J. Birgeneau, A. Aharony, P. M. Horn and J. C. Liang, Z. Phys. B, 74, 197 (1989).
  • Aharony , A. , Birgeneau , R. J. , Brock , J. D. and Litster , J. D. 1986 . Phys. Rev. Lett. , 57 : 1012
  • Dierker , S. B. , Pindak , R. and Meyer , R. B. 1986 . Phys. Rev. Lett. , 56 : 1819
  • Dierker , S. B. and Pindak , R. 1987 . Phys. Rev. Lett. , 59 : 1002
  • Gingras , M. J. P. 1990 . Ph.D. thesis , University of British Columbia . unpublished.
  • Rapini , A. 1972 . J. Phys. (France) , 33 : 237
  • Selinger , J. V. and Nelson , D. R. 1988 . Phys. Rev. Lett. , 61 : 416 J. V. Selinger and D. R. Nelson, Phys. Rev. A, 39, 3135 (1989).
  • Smith , G. S. , Sirota , E. B. , Safinya , C. R. and Clark , N. A. 1988 . Phys. Rev. Lett. , 60 : 813
  • Lattice models with intermolecular potentials which couple the molecular orientation, [ncirc], with the direction of the intermolecular vector, r, are inappropriate for modelling the isotropic to nematic transition since the lattice breaks the rotational symmetry of the isotropic phase (see Reference 5).
  • Maier , W. and Saupe , A. 1958 . Z. Naturforsch , 14a : 882 ibid, 15a, 287 (1960).
  • Albinet , G. and Tremblay , A. M.-S. 1983 . Phys. Rev. A , 27 : 2206 A lattice version of this model has been studied via renormalization group by and a Monte Carlo simulation with fixed particles on a triangular lattice has been performed by J. Y. Denman, G. R. Luckhurst and C. Zannoni, Mol. Cryst. Liq. Cryst., 60, 185 1980.
  • See reference 6 for technical details.
  • Collett , J. 1983 . Ph.D. thesis , Harvard University . The x-ray diffraction pattern for a film of 70.7 in its smectic-C phase does not show any six bright spots indicating the presence of induced bond ordering; see, unpublished.
  • Nelson , D. R. and Halperin , B. I. 1979 . Phys. Rev. B , 19 : 2457
  • Ostlund , S. and Halperin , B. I. 1981 . Phys. Rev. B , 23 : 335
  • Straley , J. P. 1971 . Phys. Rev. A , 4 : 675 The lack of true long-range orientational order in 2D, liquid crystals has not been rigourously ruled out in the general case. See

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.