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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 Stöckmann21Institut 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.

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