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Level dynamics in pseudointegrable billiards: an experimental study | | Yuriy Hlushchuk
; Ulrich Kuhl
; Stefanie Russ
; | | Date: |
18 Mar 2004 | | Subject: | Statistical Mechanics; Disordered Systems and Neural Networks | cond-mat.stat-mech cond-mat.dis-nn | | Abstract: | The level dynamics of pseudointegrable systems with different genus numbers $g$ is studied experimentally using microwave cavities. For higher energies the distribution of the eigenvalue velocities is Gaussian, as it is expected for chaotic systems with time-reversal symmetry, and shows no dependence on $g$. Also the curvature distribution $P(k)$ for large $k$ is decaying as it is expected for chaotic systems, i.e. $P(k) sim |k|^{-3}$. For small $k$ an intermediate behavior is found, where $P(k)$ changes from integrable towards chaotic behavior with growing $g$. | | Source: | arXiv, cond-mat/0403461 | | Services: | Forum | Review | PDF | Favorites | |
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