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Title:Statistical Properties of Transmission Spectra of Ergodic Wave Billiards: Random Hamiltonian Approach
Author(s):Rozhkov, Igor Sergeevitch
Doctoral Committee Chair(s):Weaver, Richard L.
Department / Program:Theoretical and Applied Mechanics
Discipline:Theoretical and Applied Mechanics
Degree Granting Institution:University of Illinois at Urbana-Champaign
Subject(s):Physics, Acoustics
Abstract:Finally, we considered the experimental realization of the RMT system. We examined the dissipation of diffuse ultrasonic energy in a reverberant body coupled to a waveguide, i.e. in an open ergodic system. A simple model predicts a Porter-Thomas-like distribution of level widths and corresponding nonexponential dissipation, a behavior largely confirmed by measurements. For the case of fully open channels, however, measurements deviate from this model to a statistically significant degree. A supersymmetric calculation is found to model the observed behaviors accurately. In conclusion we discussed a possibility to find a more realistic 'naive' model that takes both the RMT and eigenmode complexity into account, but is less technically involved than the supersymmetry method. Such a modification of the naive approach is likely to be useful in studies of power variance and transient decay in chaotic cavities.
Issue Date:2003
Description:79 p.
Thesis (Ph.D.)--University of Illinois at Urbana-Champaign, 2003.
Other Identifier(s):(MiAaPQ)AAI3101961
Date Available in IDEALS:2015-09-28
Date Deposited:2003

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