Skip to main content

Lund University Publications

LUND UNIVERSITY LIBRARIES

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

Schaadt, K ; Guhr, Thomas LU ; Ellegaard, C and Oxborrow, M (2003) In Physical Review E 68(3: 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.
Please use this url to cite or link to this publication:
author
; ; and
organization
publishing date
type
Contribution to journal
publication status
published
subject
in
Physical Review E
volume
68
issue
3: 036205
publisher
American Physical Society
external identifiers
  • wos:000185756400050
  • scopus:0242411814
  • pmid:14524866
ISSN
1063-651X
DOI
10.1103/PhysRevE.68.036205
language
English
LU publication?
yes
additional info
The information about affiliations in this record was updated in December 2015. The record was previously connected to the following departments: Mathematical Physics (Faculty of Technology) (011040002)
id
11b1915c-2bfb-40de-9215-01b26d73f6f6 (old id 298592)
date added to LUP
2016-04-01 16:17:48
date last changed
2022-03-07 04:55:19
@article{11b1915c-2bfb-40de-9215-01b26d73f6f6,
  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.}},
  author       = {{Schaadt, K and Guhr, Thomas and Ellegaard, C and Oxborrow, M}},
  issn         = {{1063-651X}},
  language     = {{eng}},
  number       = {{3: 036205}},
  publisher    = {{American Physical Society}},
  series       = {{Physical Review E}},
  title        = {{Experiments on elastomechanical wave functions in chaotic plates and their statistical features}},
  url          = {{http://dx.doi.org/10.1103/PhysRevE.68.036205}},
  doi          = {{10.1103/PhysRevE.68.036205}},
  volume       = {{68}},
  year         = {{2003}},
}