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  • 1
    Electronic Resource
    Electronic Resource
    Transient chaos in room acoustics (1993)
    Woodbury, NY : American Institute of Physics (AIP)
    Chaos 3 (1993), S. 529-541 
    Details
    ISSN: 1089-7682
    Source: AIP Digital Archive
    Topics: Physics
    Notes: The decay of sound in an auditorium due to absorption is central to the theory and practice of room acoustics. Within geometrical acoustics, this problem involves the partial trapping of chaotic ray trajectories in billiards, hence transient chaos. We first present a theoretical and numerical analysis of the decay of rays in 2-D chaotic billiards (2-D room acoustic models) and show that the existence of fluctuations (in the mean-free path and in the rate of phase space exploration) leads to modifications from the standard statistical theory. An ergodic wave theory of room acoustics based on a wave formulation is then discussed and tested by direct numerical calculations of the eigenmodes in 2-D billiards. Finally, we present a semiclassical calculation of the acoustic Green's functions in the time domain, based on a summation over rays, viewed as generalized wave impulses, and successfully compare its predictions with a direct numerical integration of the wave equation. This formalism provides a framework to link the geometrical ray description to the ergodic wave theory.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1063/1.165958
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  • 2
    Book
    Book
    Equilibrium and non-equilibrium statistical thermodynamics / (2004)
    Cambridge [u.a.] :Cambridge Univ. Press,
    Details
    Title: Equilibrium and non-equilibrium statistical thermodynamics /
    Author: Le Bellac, Michel
    Contributer: Mortessagne, Fabrice , Batrouni, Ghassan George
    Publisher: Cambridge [u.a.] :Cambridge Univ. Press,
    Year of publication: 2004
    Pages: XVI, 616 S. : , graph. Darst.
    ISBN: 0-521-82143-6
    Type of Medium: Book
    Language: English
    URL: lizenzfrei
    URL: lizenzfrei
    URL: lizenzfrei
    URL: 01  (lizenzfrei)
    URL: 04
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