Universality of the Long Time Tail in Hamiltonian Dynamics

An Approach to the f−1 Noise of Quartz Oscillators
  • Y. Aizawa
  • K. Tanaka
Conference paper
Part of the Research Reports in Physics book series (RESREPORTS)

Abstract

A universal law of the long time tail in nearly integrable systems is discussed and the onset mechanism of ”non-stationary” and ”f v fluctuation” is briefly reviewed using a lattice vibration model. The mechanism of f −1 fluctuations in quartz crystals is numerically pursued and compared with several experimental observations such as phase noises, phonon number fluctuations and dissipation coefficients.

Keywords

Quartz Soliton Ghost 

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Copyright information

© Springer-Verlag Berlin Heidelberg 1991

Authors and Affiliations

  • Y. Aizawa
    • 1
  • K. Tanaka
    • 1
  1. 1.Department of Applied MathematicsWaseda University169 Shinjuku, TokyoJapan

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