Developed Smectics: When Exact Solutions Agree

Preprint, Article English OPEN
Alexander, Gareth P. ; Kamien, Randall D. ; Santangelo, Christian D. (2011)

In the limit where the bending modulus vanishes, we construct layer configurations with arbitrary dislocation textures by exploiting a connection between uniformly spaced layers in two dimensions and developable surfaces in three dimensions. We then show how these focal textures can be used to construct layer configurations with finite bending modulus.
  • References (26)
    26 references, page 1 of 3

    1Centre for Complexity Science, Zeeman Building,

    University of Warwick, Coventry, CV4 7AL, UK

    2Department of Physics and Astronomy, University of Pennsylvania, Philadelphia, PA 19104-6396, USA

    3Department of Physics, University of Massachusetts, Amherst MA, 01003, USA

    (Dated: October 20, 2011) [1] M. Kleman, Points, Lines, and Walls, (John Wiley &

    Sons, New York, 1983). [2] R. Schoen and K. Uhlenbeck, J. Di erential Geom. 17,

    307 (1982); 18, 329 (1983) [3] R. Hardt, D. Kinderlehrer, F. Lin, Comm. Math. Phys.

    105, 547 (1986). [4] H. Pleiner, Liq. Cryst. 3, 239 (1988). [5] V.I. Marchenko, Pisma Zh. Eksp. Teor. Fiz. 138, 754

    (2010) [JETP 111, 667 (2010)]. [6] I. Bluestein and R.D. Kamien, Europhys. Lett. 59, 68

    (2002). [7] G. Grinstein and R. Pelcovits, Phys. Rev. Lett. 47, 856-

  • Metrics
    No metrics available
Share - Bookmark