Spectral properties of a mixed system using an acoustical resonator - art.no. 026206

Citation
T. Neicu et al., Spectral properties of a mixed system using an acoustical resonator - art.no. 026206, PHYS REV E, 6302(2), 2001, pp. 6206
Citations number
23
Categorie Soggetti
Physics
Journal title
PHYSICAL REVIEW E
ISSN journal
1063651X → ACNP
Volume
6302
Issue
2
Year of publication
2001
Part
2
Database
ISI
SICI code
1063-651X(200102)6302:2<6206:SPOAMS>2.0.ZU;2-0
Abstract
We experimentally study the spectral properties of a mixed system using the flexural modes of a clover shaped plate. The system is called mixed becaus e the corresponding ray dynamics has both chaotic and integrable regions in its phase space. The eigenvalue statistics show intermediate properties be tween the universal statistics corresponding to chaotic geometries which sh ow Gaussian orthogonal ensemble statistics and integrable geometries that s how Poisson statistics. We further investigate the Fourier transform of the peaks to study the influence of the length scales of the plate on the prop erties of the acoustic resonances. We observe a weak signal of the periodic orbits in the experimental data. Although some of the peaks in the Fourier transform of the eigenvalue spectrum correspond to the shortest stable per iodic orbits, other strong peaks are also observed. To understand the role of symmetries, we start with a clover shaped plate belonging to the C-4 ups ilon point symmetry group, and progressively reduce the symmetry by sanding one of the edges. A Shnirelman peak in P(s) is observed for the highly sym metric situation due to level clustering.