Correlations and screening of topological charges in gaussian random fields

Details Correlations and screening of topological charges in gaussian random fields Correlations and screening of topological charges in gaussian random fields

2003-02-10

arxiv.org/abs/math-ph/0302024v2

J.Phys.A36:6611-6628,2003

Physics

Mathematical Physics

20 pages, 3 figures (revised version)

Scientific paper

10.1088/0305-4470/36/24/301

2-point topological charge correlation functions of several types of geometric singularity in gaussian random fields are calculated explicitly, using a general scheme: zeros of $n$-dimensional random vectors, signed by the sign of their jacobian determinant; critical points (gradient zeros) of real scalars in two dimensions signed by the hessian; and umbilic points of real scalars in two dimensions, signed by their index. The functions in each case depend on the underlying spatial correlation function of the field. These topological charge correlation functions are found to obey the first Stillinger-Lovett sum rule for ionic fluids.

Affiliated with

Also associated with

No associations

Rating

Correlations and screening of topological charges in gaussian random fields 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 Correlations and screening of topological charges in gaussian random fields, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Correlations and screening of topological charges in gaussian random fields will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-73277