The morphology of nodal lines-random waves versus percolation

Details The morphology of nodal lines-random waves versus percolation The morphology of nodal lines-random waves versus percolation

2004-07-07

arxiv.org/abs/nlin/0407012v2

J. Phys. A: Math. Gen., 37, 11363-11371 (2004)

Nonlinear Sciences

Chaotic Dynamics

10 pages, 5 figures (incl. one coloured figure), published version

Scientific paper

10.1088/0305-4470/37/47/005

In this paper we investigate the properties of nodal structures in random wave fields, and in particular we scrutinize their recently proposed connection with short-range percolation models. We propose a measure which shows the difference between monochromatic random waves, which are characterized by long-range correlations, and Gaussian fields with short-range correlations, which are naturally assumed to be better modelled by percolation theory. We also study the relevance of the quantities which we compute to the probability that nodal lines are in the vicinity of a given reference line.

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