Physics – Condensed Matter – Soft Condensed Matter
Scientific paper
2011-08-07
Physics
Condensed Matter
Soft Condensed Matter
4 pages, 3 figures
Scientific paper
We study, analytically and theoretically, defects in a nematically-ordered surface that couple to the extrinsic geometry of a surface. Though the intrinsic geometry tends to confine topological defects to regions of large Gaussian curvature, extrinsic couplings tend to orient the nematic in the local direction of maximum or minimum bending. This additional frustration is unavoidable and most important on surfaces of negative Gaussian curvature, where it leads to a complex ground state thermodynamics. We show, in contradistinction to the well-known effects of intrinsic geometry, that extrinsic curvature expels disclinations from the region of maximum curvature above a critical coupling threshold. On catenoids lacking an "inside-outside" symmetry, defects are expelled altogether.
Grason Gregory M.
Mbanga Badel L.
Santangelo Christian D.
No associations
LandOfFree
Frustrated order on extrinsic geometries does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Frustrated order on extrinsic geometries, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Frustrated order on extrinsic geometries will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-188507