Physics
Experimental investigation of universal parametric correlators using a vibrating plate
Document Type
Article
Abstract
The parametric variation of the eigenfrequencies of a chaotic plate is measured and compared to random matrix theory using recently calculated universal correlation functions. The sensitivity of the flexural modes of the plate to pressure is used to isolate this symmetry class of modes and simplify the data analysis. The size of the plate is used as the external parameter and the eigenvalues are observed to undergo one or two oscillations in the experimental window. The correlations of the eigenvalues are in good agreement with statistical measures such as the parametric number variance, the velocity autocorrelation, and the intralevel velocity autocorrelation derived for the Gaussian orthogonal ensemble of random matrix theory. Our results show that the theory can be also applied to wave systems other than quantum systems. © 1999 The American Physical Society.
Publication Title
Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics
Publication Date
1999
Volume
60
Issue
4
First Page
R3479
Last Page
R3482
ISSN
1063-651X
DOI
10.1103/PhysRevE.60.R3479
Repository Citation
Schaadt, K. and Kudrolli, A., "Experimental investigation of universal parametric correlators using a vibrating plate" (1999). Physics. 143.
https://commons.clarku.edu/faculty_physics/143
