Hoehmann, R. and Kuhl, U. and Stoeckmann, H. -J. and Urbina, J. D. and Dennis, M. R. (2009) Density and correlation functions of vortex and saddle points in open billiard systems. PHYSICAL REVIEW E, 79 (1): 016203. ISSN 1539-3755,
Full text not available from this repository.Abstract
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 and theory agreeing well. We also derive an expression for the density of saddle points in the presence of a straight boundary with general mixed boundary conditions in the RWM and compare with experimental measurements of the vortex and saddle density in the vicinity of a straight wall satisfying Dirichlet conditions.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | MIXED BOUNDARY-CONDITIONS; ISOTROPIC RANDOM WAVES; GAUSSIAN RANDOM WAVES; CHAOTIC EIGENFUNCTIONS; STATISTICAL PROPERTIES; MICROWAVE BILLIARDS; PHASE SINGULARITIES; NODAL DENSITIES; RANDOM-FIELDS; CURVATURE; boundary-value problems; chaos; critical points; Gaussian processes; microwave measurement; random processes; vortices |
| Subjects: | 500 Science > 530 Physics |
| Divisions: | Physics > Institute of Theroretical Physics > Chair Professor Richter > Group Klaus Richter |
| Depositing User: | Dr. Gernot Deinzer |
| Date Deposited: | 14 Oct 2020 04:50 |
| Last Modified: | 14 Oct 2020 04:50 |
| URI: | https://pred.uni-regensburg.de/id/eprint/29868 |
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