Publication details
- Title:
- Mode fluctuation distribution for spectra of
superconducting microwave billiards
- Authors:
- H. Alt, A. Bäcker, C. Dembowski, H.-D. Gräf,
R. Hofferbert, H. Rehfeld and A. Richter
- Journal:
-
Phys. Rev. E 58 (1998) 1737-1742
- Abstract:
- High resolution eigenvalue spectra of several two- and three-dimensional
superconducting microwave cavities have been measured in the frequency range
below 20 GHz and analyzed using a statistical measure which is given by the
distribution of the normalized mode fluctuations. For chaotic systems the limit
distribution is conjectured to show a universal Gaussian, whereas integrable
systems should exhibit a non-Gaussian limit distribution. For the investigated
Bunimovich stadium and the 3D-Sinai billiard we find that the distribution is
in good agreement with this prediction. We also study members of the family of
limaçon billiards, having mixed dynamics. It turns out that in this case
the number of approximately 1000 eigenvalues for each billiard does not allow
to observe significant deviations from a Gaussian.
- Download:
- Please refer to the above published version.
(The preprint version of this article can be obtained as
Ulm report ULM-TP/97-9 (1997))
Last modified: 27 October 2004, 16:21:49
Impressum, © Arnd Bäcker
