Quantum chaos and Sabine's law of reverberation in ergodic rooms

  • Olivier Legrand
  • Didier Sornette
Conference paper
Part of the Lecture Notes in Physics book series (LNP, volume 392)


We investigate the standard acoustical problem of sound decay in a room, due to a small absorption at the walls, both in the geometrical approximation (1) and for the full wave problem (2). The classical universal Sabine's law of reverberation is shown to rely on ergodic properties of both geometrical billiard-like trajectories (1) and eigenmodes (2). A paradigm of an ergodic auditorium is used to test numerically these ideas: a two-dimensional (2-D) room with the shape of a Stadium. In both approaches, Sabine's law for the characteristic reverberation time is verified with good accuracy.


Periodic Orbit Decay Constant Ergodic Theorem Ergodic Property Hard Wall 
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Copyright information

© Springer-Verlag 1991

Authors and Affiliations

  • Olivier Legrand
    • 1
  • Didier Sornette
    • 1
  1. 1.Laboratoire de Physique de la Matière Condensée, CNRS URA 190Université de Nice-Sophia AntipolisNice CedexFrance

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