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Phys. Rev. E 78, 066212 (2008) [8 pages]

Scattering fidelity in elastodynamics. II. Further experimental results

Oleg I. Lobkis and Richard L. Weaver
Department of Physics, University of Illinois, 1110 West Green Street MC 704, Urbana, Illinois 61801, USA
Received 17 March 2008; revised 16 June 2008; published 18 December 2008

The agreement of past measurements of elastodynamic scattering fidelity with predictions based on random matrix theory, even in bodies with ostensibly regular ray dynamics, has motivated further measurements with a precision capable of detecting fine deviations. Two aluminum blocks are studied, one rectangular, one irregular. As previously, it is found that fidelity decays more slowly in the irregular object. It is further shown that the time dependence of that decay corresponds well with predictions based on random matrix theory and the Gaussian orthogonal ensemble and that predictions based on Poissonian model statistics do not correspond. In some cases deviations from theory are seen that are consistent with partially broken reflection symmetries and inhomogeneous dissipation.

©2008 The American Physical Society

URL: http://link.aps.org/doi/10.1103/PhysRevE.78.066212
DOI: 10.1103/PhysRevE.78.066212
PACS: 05.45.Mt; 43.35.+d; 03.65.Sq
  • 05.45.Mt
    Quantum chaos; semiclassical methods
  • 43.35.+d
    Ultrasonics, quantum acoustics, and physical effects of sound
  • 03.65.Sq
    Semiclassical theories and applications in quantum mechanics
  • YEAR: 2008
KEYWORDS: aluminium, elastodynamics, statistical analysis

See Also

Scattering fidelity in elastodynamics
T. Gorin, T. H. Seligman, and R. L. Weaver
Phys. Rev. E 73, 015202 (R) (2006)

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  1. Scattering fidelity in elastodynamics
    T. Gorin, T. H. Seligman, and R. L. Weaver
    Phys. Rev. E 73, 015202 (R) (2006)


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