Format

Send to

Choose Destination
Phys Rev Lett. 2007 Jul 6;99(1):017801. Epub 2007 Jul 6.

Geometric theory of columnar phases on curved substrates.

Author information

1
Department of Physics and Astronomy, University of Pennsylvania, Philadelphia, Pennsylvania 19104, USA.

Abstract

We study thin self-assembled columns constrained to lie on a curved, rigid substrate. The curvature presents no local obstruction to equally spaced columns in contrast with curved crystals for which the crystalline bonds are frustrated. Instead, the vanishing compressional strain of the columns implies that their normals lie on geodesics which converge (diverge) in regions of positive (negative) Gaussian curvature, in analogy to the focusing of light rays by a lens. We show that the out of plane bending of the cylinders acts as an effective ordering field.

PMID:
17678190
DOI:
10.1103/PhysRevLett.99.017801
[Indexed for MEDLINE]

Supplemental Content

Full text links

Icon for American Physical Society
Loading ...
Support Center