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Updated: May 9, 2026

An Analog Macroscopic Technique for Studying Molecular Hydrodynamic Processes in Dense Gases and Liquids
Published on: December 4, 2017
Statistical model of short wavelength transport through cavities with coexisting chaotic and regular ray trajectories
Ming-Jer Lee1, Thomas M Antonsen, Edward Ott
1University of Maryland, College Park, Maryland 20742, USA. leemj@umd.edu
Abstract:
We study the statistical properties of the impedance matrix (related to the scattering matrix) describing the input-output properties of waves in cavities in which ray trajectories that are regular and chaotic coexist (i.e., "mixed" systems). The impedance can be written as a summation over eigenmodes where the eigenmodes can typically be classified as either regular or chaotic. By appropriate characterizations of regular and chaotic contributions, we obtain statistical predictions for the impedance. We then test these predictions by comparison with numerical calculations for a specific cavity shape, obtaining good agreement.
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