A certain localization effect in coupled systems and messages from the crystal sphere
(2005) Nuclei and Mesoscopic Physics. Workshop on Nuclei and Mesoscopic Physics WNMP 2004 777. p.160-170- Abstract
- Two theoretical studies are presented, both prompted by recent experiments. First, we investigate the time evolution of excitations in two chaotically coupled systems. There is a certain localization effect, because equipartition of the probability density or the energy is typically not reached. We use a random matrix model to give a generic explanation for this effect. Second, we derive a leading order Weyl formula for the elastic vibration spectrum of anisotropic quartz. This is non-trivial due to the presence of different modes. We discuss a duality between one spherical billiard with anisotropy in configuration space and three non-spherical billiards without anisotropy in slowness space
Please use this url to cite or link to this publication:
https://lup.lub.lu.se/record/615452
- author
- Guhr, Thomas LU ; Grönqvist, Johan LU ; Søndergaard, Niels LU ; Oxborrow, M ; Schaadt, K and Ellegaard, C
- organization
- publishing date
- 2005
- type
- Chapter in Book/Report/Conference proceeding
- publication status
- published
- subject
- keywords
- anisotropy, spherical billiard, configuration space, slowness space, nonspherical billiards, coupled systems, localization effect, coupled messages, crystal sphere, time evolution, excitations, chaotically coupled systems, probability density equipartition, random matrix model, generic explanation, leading order Weyl formula, anisotropic quartz, elastic vibration spectrum
- host publication
- AIP Conference Proceedings
- volume
- 777
- pages
- 160 - 170
- publisher
- American Institute of Physics (AIP)
- conference name
- Nuclei and Mesoscopic Physics. Workshop on Nuclei and Mesoscopic Physics WNMP 2004
- conference location
- East Lansing, MI, United States
- conference dates
- 2004-10-23 - 2004-10-26
- external identifiers
-
- wos:000231407500016
- scopus:33749490303
- ISSN
- 0094-243X
- 1551-7616
- DOI
- 10.1063/1.1996882
- 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
- 7e7edb96-8aa7-4841-981c-30a2a4eadabf (old id 615452)
- date added to LUP
- 2016-04-01 12:01:38
- date last changed
- 2024-01-08 05:29:14
@inproceedings{7e7edb96-8aa7-4841-981c-30a2a4eadabf, abstract = {{Two theoretical studies are presented, both prompted by recent experiments. First, we investigate the time evolution of excitations in two chaotically coupled systems. There is a certain localization effect, because equipartition of the probability density or the energy is typically not reached. We use a random matrix model to give a generic explanation for this effect. Second, we derive a leading order Weyl formula for the elastic vibration spectrum of anisotropic quartz. This is non-trivial due to the presence of different modes. We discuss a duality between one spherical billiard with anisotropy in configuration space and three non-spherical billiards without anisotropy in slowness space}}, author = {{Guhr, Thomas and Grönqvist, Johan and Søndergaard, Niels and Oxborrow, M and Schaadt, K and Ellegaard, C}}, booktitle = {{AIP Conference Proceedings}}, issn = {{0094-243X}}, keywords = {{anisotropy; spherical billiard; configuration space; slowness space; nonspherical billiards; coupled systems; localization effect; coupled messages; crystal sphere; time evolution; excitations; chaotically coupled systems; probability density equipartition; random matrix model; generic explanation; leading order Weyl formula; anisotropic quartz; elastic vibration spectrum}}, language = {{eng}}, pages = {{160--170}}, publisher = {{American Institute of Physics (AIP)}}, title = {{A certain localization effect in coupled systems and messages from the crystal sphere}}, url = {{http://dx.doi.org/10.1063/1.1996882}}, doi = {{10.1063/1.1996882}}, volume = {{777}}, year = {{2005}}, }