• Editors' Suggestion

Geometric Theory of Columnar Phases on Curved Substrates

Christian D. Santangelo, Vincenzo Vitelli, Randall D. Kamien, and David R. Nelson
Phys. Rev. Lett. 99, 017801 – Published 6 July 2007

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.

  • Figure
  • Figure
  • Received 8 March 2007

DOI:https://doi.org/10.1103/PhysRevLett.99.017801

©2007 American Physical Society

Authors & Affiliations

Christian D. Santangelo1, Vincenzo Vitelli1, Randall D. Kamien1, and David R. Nelson2

  • 1Department of Physics and Astronomy, University of Pennsylvania, Philadelphia, Pennsylvania 19104, USA
  • 2Department of Physics, Harvard University, Cambridge, Massachusetts 02138, USA

Article Text (Subscription Required)

Click to Expand

References (Subscription Required)

Click to Expand
Issue

Vol. 99, Iss. 1 — 6 July 2007

Reuse & Permissions
Access Options
Author publication services for translation and copyediting assistance advertisement

Authorization Required


×
×

Images

×

Sign up to receive regular email alerts from Physical Review Letters

Log In

Cancel
×

Search


Article Lookup

Paste a citation or DOI

Enter a citation
×