Display options
Cite
Schaadt K, Guhr T, Ellegaard C, et al. Experiments on elastomechanical wave functions in chaotic plates and their statistical features. Phys Rev E Stat Nonlin Soft Matter Phys. 2003;68(3):036205doi: 10.1103/PhysRevE.68.036205.
Schaadt, K., Guhr, T., Ellegaard, C., & Oxborrow, M. (2003). Experiments on elastomechanical wave functions in chaotic plates and their statistical features. Physical review. E, Statistical, nonlinear, and soft matter physics, 68(3), 036205. https://doi.org/10.1103/PhysRevE.68.036205
Schaadt, K, et al. "Experiments on elastomechanical wave functions in chaotic plates and their statistical features." Physical review. E, Statistical, nonlinear, and soft matter physics vol. 68,3 (2003): 036205. doi: https://doi.org/10.1103/PhysRevE.68.036205
Schaadt K, Guhr T, Ellegaard C, Oxborrow M. Experiments on elastomechanical wave functions in chaotic plates and their statistical features. Phys Rev E Stat Nonlin Soft Matter Phys. 2003 Sep;68(3):036205. doi: 10.1103/PhysRevE.68.036205. Epub 2003 Sep 05. PMID: 14524866.
Copy Download .nbib Format: NLM
Share it on

Phys Rev E Stat Nonlin Soft Matter Phys. 2003 Sep;68(3):036205. doi: 10.1103/PhysRevE.68.036205. Epub 2003 Sep 05.

Experiments on elastomechanical wave functions in chaotic plates and their statistical features.

Physical review. E, Statistical, nonlinear, and soft matter physics

K Schaadt, T Guhr, C Ellegaard, M Oxborrow

Affiliations

  1. Center for Chaos and Turbulence Studies, Niels Bohr Institute, Blegdamsvej 17, DK-2100 Copenhagen Ø, Denmark.

PMID: 14524866 DOI: 10.1103/PhysRevE.68.036205

Abstract

We measure the amplitude of the elastomechanical displacement at a fine grid of points on a free plate having the shape of a Sinai stadium. The obtained displacement field formally corresponds to a wave function in a quantum system. While the distribution of the squared amplitudes agrees with the prediction of random matrix theory (RMT), there is a strong deviation of the spatial correlator from the standard prediction for quantum chaotic systems. We show that this is due to the presence of two modes, leading to a beating phenomenon. We construct a proper extension of the spatial correlator within the framework of RMT.

Publication Types