# Density and correlation functions of vortex and saddle points in open billiard systems.

@article{Hhmann2009DensityAC, title={Density and correlation functions of vortex and saddle points in open billiard systems.}, author={Ruven H{\"o}hmann and Ulrich Kuhl and Hans-J{\"u}rgen St{\"o}ckmann and Juan Diego Urbina and Mark R. Dennis}, journal={Physical review. E, Statistical, nonlinear, and soft matter physics}, year={2009}, volume={79 1 Pt 2}, pages={ 016203 } }

We present microwave measurements for the density and spatial correlation of current critical points in an open billiard system and compare them with new and previous predictions of the random-wave model (RWM). In particular, due to an improvement of the experimental setup, we determine experimentally the spatial correlation of saddle points of the current field. An asymptotic expression for the vortex-saddle and saddle-saddle correlation functions based on the RWM is derived, with experiment…

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