Universality of the Long Time Tail in Hamiltonian Dynamics
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.
KeywordsDielectric Loss Phase Noise Quartz Crystal Lattice Vibration Resonant Mode
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- V. F. Kroupa, editor. Frequency Stability: Fundamentals and Measurement. IEEE PRESS, New York, 1983.Google Scholar
- V. I. Arnold and A. Avez. Ergodic Problems of Classical Mechanics. Benjamin, New York, 1968.Google Scholar
- T. Musha, B. Gabor and M. Shoji. Phys. Rev. Lett., 64 (1990), 2394.Google Scholar
- Y. Aizawa, K. Tanaka, J. Tonotani., in preparation.Google Scholar