Nonexponential dissipation in a lossy elastodynamic billiard: comparison with Porter-Thomas and random matrix predictions
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Updated: Aug 30, 2026

An Analog Macroscopic Technique for Studying Molecular Hydrodynamic Processes in Dense Gases and Liquids
Published on: December 4, 2017
Oleg I Lobkis1, Igor S Rozhkov, Richard L Weaver
1Theoretical & Applied, University of Illinois, Mechanics 104 South Wright Street, Urbana, IL 61801, USA.
Abstract:
We study the dissipation of diffuse ultrasonic energy in a reverberant body coupled to a waveguide, an analog for a mesoscopic electron in a quantum dot. A simple model predicts a Porter-Thomas 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 random matrix supersymmetric calculation is found to accurately model the observed behaviors at all coupling strengths.
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