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Schaadt K, Kudrolli A. Experimental investigation of universal parametric correlators using a vibrating plate. Phys Rev E Stat Phys Plasmas Fluids Relat Interdiscip Topics. 1999;60(4):R3479-82doi: 10.1103/physreve.60.r3479.
Schaadt, K., & Kudrolli, A. (1999). Experimental investigation of universal parametric correlators using a vibrating plate. Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics, 60(4), R3479-82. https://doi.org/10.1103/physreve.60.r3479
Schaadt, K, and Kudrolli, A. "Experimental investigation of universal parametric correlators using a vibrating plate." Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics vol. 60,4 (1999): R3479-82. doi: https://doi.org/10.1103/physreve.60.r3479
Schaadt K, Kudrolli A. Experimental investigation of universal parametric correlators using a vibrating plate. Phys Rev E Stat Phys Plasmas Fluids Relat Interdiscip Topics. 1999 Oct;60(4):R3479-82. doi: 10.1103/physreve.60.r3479. PMID: 11970262.
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Phys Rev E Stat Phys Plasmas Fluids Relat Interdiscip Topics. 1999 Oct;60(4):R3479-82. doi: 10.1103/physreve.60.r3479.

Experimental investigation of universal parametric correlators using a vibrating plate.

Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics

K Schaadt, A Kudrolli

Affiliations

  1. Department of Physics, Clark University, Worcester, Massachusetts 01610, USA.

PMID: 11970262 DOI: 10.1103/physreve.60.r3479

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.

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