Counting nodal domains
Chaotic Dynamics
2007-05-23 v1
Abstract
We consider the nodal domains of Gaussian random waves in two dimensions. We present a method to calculate the distribution of the number of nodal domains and the average connectivity with the help of auxiliary Potts-spins. An analytical approach could be helpful to decide whether the pattern of nodal domains belongs to the universality class of short-ranged percolation. This is not completely evident since we find (weak) long-ranged correlations between distant avoided nodal intersections.
Keywords
Cite
@article{arxiv.nlin/0302049,
title = {Counting nodal domains},
author = {Georg Foltin},
journal= {arXiv preprint arXiv:nlin/0302049},
year = {2007}
}
Comments
7 pages, 1 figure, uses iopart.cls