Signed zeros of Gaussian vector fields-density, correlation functions and curvature

Details Signed zeros of Gaussian vector fields-density, correlation functions and curvature Signed zeros of Gaussian vector fields-density, correlation functions and curvature

2002-09-06

arxiv.org/abs/cond-mat/0209161v3

J. Phys. A: Math. Gen. 36, 1729-1741 (2003)

Physics

Condensed Matter

Statistical Mechanics

14 pages, 1 figure, uses iopart.cls, improved presentation, to appear in J. Phys. A

Scientific paper

10.1088/0305-4470/36/6/316

We calculate correlation functions of the (signed) density of zeros of Gaussian distributed vector fields. We are able to express correlation functions of arbitrary order through the curvature tensor of a certain abstract Riemann-Cartan or Riemannian manifold. As an application, we discuss one- and two-point functions. The zeros of a two-dimensional Gaussian vector field model the distribution of topological defects in the high-temperature phase of two-dimensional systems with orientational degrees of freedom, such as superfluid films, thin superconductors and liquid crystals.

Affiliated with

Also associated with

No associations

Rating

Signed zeros of Gaussian vector fields-density, correlation functions and curvature 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 Signed zeros of Gaussian vector fields-density, correlation functions and curvature, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Signed zeros of Gaussian vector fields-density, correlation functions and curvature will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-669636