n-atic Order and Continuous Shape Changes of Deformable Surfaces of Genus Zero

Details n-atic Order and Continuous Shape Changes of Deformable Surfaces of Genus Zero n-atic Order and Continuous Shape Changes of Deformable Surfaces of Genus Zero

1996-06-14

arxiv.org/abs/cond-mat/9606105v1

Europhysics Letters, 20 (1992) 279.

Physics

Condensed Matter

REVTEX, 12 pages

Scientific paper

10.1209/0295-5075/20/3/015

We consider in mean-field theory the continuous development below a second-order phase transition of $n$-atic tangent plane order on a deformable surface of genus zero with order parameter $\psi = \langle e^{i n \theta} \rangle$. Tangent plane order expels Gaussian curvature. In addition, the total vorticity of orientational order on a surface of genus zero is two. Thus, the ordered phase of an $n$-atic on such a surface will have $2n$ vortices of strength $1/n$, $2n$ zeros in its order parameter, and a nonspherical equilibrium shape. Our calculations are based on a phenomenological model with a gauge-like coupling between $\psi$ and curvature, and our analysis follows closely the Abrikosov treatment of a type II superconductor just below $H_{c2}$.

Affiliated with

Also associated with

No associations

Rating

n-atic Order and Continuous Shape Changes of Deformable Surfaces of Genus Zero 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 n-atic Order and Continuous Shape Changes of Deformable Surfaces of Genus Zero, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and n-atic Order and Continuous Shape Changes of Deformable Surfaces of Genus Zero will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-360326