HOME    |    BROWSE    |    SEARCH    |    SUBSCRIPTION   |    SUBMISSION    |    REGISTRATION

Quick Search:
Author: Title/Abstract: Vol./No: Page:
PTP Online Top > Volume 81 (1989) > Number 2
| Next Article >

Prog. Theor. Phys. Vol. 81 No. 2 (1989) pp. 249-253

[ Full Text PDF : FREE ACCESS (230K) ]

Letters

Universality of the Stagnant Motions in Hamiltonian Systems

Yoji Aizawa

Department of Applied Physics, Waseda University, Tokyo 160

(Received October 17, 1988)

Abstract:

A universal statistical law is theoretically derived from the Nekhoroshev theorem and the similarity with the last KAM scaling law is discussed.


URL : http://ptp.ipap.jp/link?PTP/81/249/
DOI : 10.1143/PTP.81.249

[ Full Text PDF : FREE ACCESS (230K) ] Citation:

References:

  1. Y. Aizawa, C. Murakami and T. Kohyama, Prog. Theor. Phys. Suppl. No. 79 (1984), 96[PTP].
  2. T. Kohyama, Prog. Theor. Phys. 71 (1984), 1104[PTP].
  3. Y. Aizawa, Proceedings of US-Japan Workshop–Statistical Plasma Physics–, ed. T. Hatori (Institute of Plasma Physics, Nagoya University, 1986), p. 62.
  4. C. F. F. Karney, Physica 8D (1983), 360[Elsevier].
  5. Y. Aizawa and Y. Kikuchi, in preparation.
  6. D. K. Umberger and J. D. Farmer, Phys. Rev. Lett. 55 (1985), 661[APS].
  7. Y. Aizawa, Prog. Theor. Phys. 71 (1984), 1419[PTP].
  8. V. I. Arnold, Russian Math. Surveys 18 : 6 (1963), 85.
  9. V. I. Arnold, Sov. Math. Dokl. 5 (1964), 581.
  10. N. N. Nekhoroshev, Russian Math. Surveys 32 (1977), 1.
  11. Y. Aizawa, Prog. Theor. Phys. 72 (1984), 659[PTP].
  12. R. S. MacKay, J. D. Meiss and I. C. Percival, Physica 13D (1984), 55[Elsevier].
  13. D. Bensimon and L. P. Kadanoff, Physica 13D (1984), 82[Elsevier].

Citing Article(s) :

  1. Journal of the Physical Society of Japan 62 (1993) pp. 3044-3051 :
    A Stochastic Model of 1/f Phonon-Number Fluctuations
    Nobuko Fuchikami, Sho Kaneda and Shunya Ishioka
  2. Journal of the Physical Society of Japan 63 (1994) pp. 1738-1753 :
    Chaotic Motion of Fluid Particles Due to the Alternate Rotations of Two Eccentric Cylinders
    Takashi Atobe and Mitsuaki Funakoshi
  3. Journal of the Physical Society of Japan 81 (2012) 024009 (9 pages) :
    1/f Spectrum and 1-Stable Law in One-Dimensional Intermittent Map with Uniform Invariant Measure and Nekhoroshev Stability
    Soya Shinkai and Yoji Aizawa
  4. Progress of Theoretical Physics Vol. 83 No. 6 (1990) pp. 1065-1070 :
    Long-Time Correlations and Expansion-Rate Spectra of Chaos in Hamiltonian Systems
    Takehiko Horita, Hiroki Hata, Ryuji Ishizaki and Hazime Mori
  5. Progress of Theoretical Physics Vol. 84 No. 1 (1990) pp. 23-27 :
    Poincaré-Birkhoff Chains in the Critical Regime between Chaos and Torus
    Takahisa Harayama and Yoji Aizawa
  6. Progress of Theoretical Physics Vol. 98 No. 6 (1997) pp. 1225-1250 :
    Chaos and Singularities in the Mixmaster Universe
    Yoji Aizawa, Naoki Koguro and Ioannis Antoniou
  7. Progress of Theoretical Physics Vol. 103 No. 3 (2000) pp. 519-540 :
    Clustering Motions in N-Body Systems
    Yoji Aizawa,^*) Kunihiro Sato and Kenichiro Ito
  8. Progress of Theoretical Physics Vol. 115 No. 2 (2006) pp. 455-460 :
    Non-Stationary Effect on the Behavior of an On-Off Ratchet
    Takashi Matsumoto and Yoji Aizawa
  9. Progress of Theoretical Physics Supplement No.98 (1989) pp. 36-82 :
    Stagnant Motions in Hamiltonian Systems
    Yoji Aizawa, Yasuhiro Kikuchi, Takahisa Harayama, Kenshi Yamamoto, Motonori Ota and Kenji Tanaka
  10. Progress of Theoretical Physics Supplement No.99 (1989) pp. 149-164 :
    Non-Stationary Chaos Revisited from Large Deviation Theory
    Yoji Aizawa
  11. Progress of Theoretical Physics Supplement No.139 (2000) pp. 1-11 :
    Kinetic Laws of Clustering Motions in N-Body Systems
    Yoji Aizawa

[PTP HOME] [BROWSE] [SEARCH] [SUBSCRIPTION] [SUBMISSION] [REGISTRATION]

Copyright © Progress of Theoretical Physics 2013 All rights reserved.