Regensburg 2004 – scientific programme
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DY: Dynamik und Statistische Physik
DY 46: Poster
DY 46.38: Poster
Thursday, March 11, 2004, 16:00–18:00, Poster D
Level dynamics in pseudointegrable billiards: an experimental study — •Yuriy Hlushchuk1, Stefanie Russ1, Ulrich Kuhl2, and Hans-Jürgen Stöckmann2 — 1Institut für Theoretische Physik III, Universität Giessen, D-35392 Giessen, Germany — 2Fachbereich Physik, Philipps-Universität Marburg, Renthof 5, D-35032 Marburg, Germany
The level dynamics of pseudointegrable systems with different genus
numbers g was studied experimentaly using microwave cavities.
The eigenvalue velocity distribution is found to be Gaussian, like in
GOE systems, and shows no dependances on the genus number g of the
system.
Although the distributions of large curvatures in our pseudointegrable
systems correspond to the distribution in chaotic systems, the small
curvatures show the intermediate behavior between chaotic and integrable
systems.
With growing genus number g the distribution of small curvatures goes
from that one for integrable systems in direction of the distribution
for pure GOE systems.
According to the conjecture of Yukawa the parametric motion of the
eigenvalues in a system can be treated as a motion of particles in a 1D
gas.
The level dynamics of an integrable system corresponds to a 1D gas
without interaction between particles, while a chaotic level dynamics
corresponds to a 1D gas with a long-range interaction.
The model of a short-rage interaction between eigenvalue particles for
the description of the level dynamics in pseudointegrable systems is
discussed.