{"id":{"repo_id":"uiuc","oai_identifier":"oai:www.ideals.illinois.edu:2142/87717"},"canonical_url":"https://search.dev.ndltd.org/etd/uiuc/oai:www.ideals.illinois.edu:2142/87717","repository":{"repo_id":"uiuc","name":"University of Illinois - Urbana-Champaign","base_url":"https://www.ideals.illinois.edu/oai-pmh"},"display":{"title":"Statistical Properties of Transmission Spectra of Ergodic Wave Billiards: Random Hamiltonian Approach","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.","abstract_html":"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.","abstract_has_math":false,"creators":["Rozhkov, Igor Sergeevitch"],"institution":"University of Illinois at Urbana-Champaign","degree_name":"Ph.D.","degree_level":"Dissertation","degree_discipline":"Theoretical and Applied Mechanics","degree_department":null,"school":null,"contributors":["Weaver, Richard L."],"advisors":[],"committee_chairs":[],"committee_members":[],"year":2015,"date_issued":"2015-09-28T16:23:39Z","date_published":"2015-09-28T16:23:39Z","updated_at":"2026-07-22T22:26:30Z","subjects":["Physics, Acoustics"],"languages":["eng"],"rights":[],"rights_urls":[],"identifier_entries":[{"key":"dc:identifier","label":"Identifier","values":["(MiAaPQ)AAI3101961"],"render_values":[{"text":"(MiAaPQ)AAI3101961","href":null,"code":true}]}]},"links":{"outbound_url":"http://hdl.handle.net/2142/87717","outbound_label":"Handle","outbound_source":"dc:identifier"},"metadata_groups":[{"id":"people","label":"People","entries":[{"key":"dc:contributor","label":"Contributor","values":["Weaver, Richard L."]},{"key":"dc:creator","label":"Author","values":["Rozhkov, Igor Sergeevitch"]}]},{"id":"academic_context","label":"Academic Context","entries":[{"key":"dc:date","label":"Dc Date","values":["2015-09-28T16:23:39Z","10000-01-01","2003"]},{"key":"dc:type","label":"Dc Type","values":["text"]},{"key":"thesis:degree_discipline","label":"Discipline","values":["Theoretical and Applied Mechanics"]},{"key":"thesis:degree_level","label":"Degree Level","values":["Dissertation"]},{"key":"thesis:degree_name","label":"Degree Name","values":["Ph.D."]},{"key":"thesis:institution_name","label":"Thesis Institution Name","values":["University of Illinois at Urbana-Champaign"]}]},{"id":"subjects_keywords","label":"Subjects and Keywords","entries":[{"key":"dc:subject","label":"Dc Subject","values":["Physics, Acoustics"]}]},{"id":"language_rights","label":"Language and Rights","entries":[{"key":"dc:language","label":"Dc Language","values":["eng"]}]},{"id":"identifiers","label":"Identifiers","entries":[{"key":"dc:identifier","label":"Identifier","values":["http://hdl.handle.net/2142/87717","(MiAaPQ)AAI3101961"]}]},{"id":"additional","label":"Additional Metadata","entries":[{"key":"dc:description","label":"Description","values":["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.","Made available in DSpace on 2015-09-28T16:23:39Z (GMT). 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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.","Made available in DSpace on 2015-09-28T16:23:39Z (GMT). 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