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Prog. Theor. Phys. Vol. 78 No. 2 (1987) pp. 249-267

[ Full Text PDF : FREE ACCESS (658K) ]

Long-Time Correlation for the Chaotic Orbit in the Two-Wave Hamiltonian

Tadatsugu Hatori and Haruyuki Irie*

Institute of Plasma Physics, Nagoya University, Nagoya 464
*Department of Physics College of Science and Technology, Nihon University, Tokyo 101

(Received March 20, 1987)

Abstract:

The time correlation function of velocity is found to decay with the power law for the orbit governed by a Hamiltonian, H=v2/2-M cos x - P cos [k(x-t)]. The renormalization group technique can predict the power of decay for the correlation function defined by the ensemble average. The power spectrum becomes the 1/f-type for a special case.


URL : http://ptp.ipap.jp/link?PTP/78/249/
DOI : 10.1143/PTP.78.249

[ Full Text PDF : FREE ACCESS (658K) ] Citation:

References:

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Citing Article(s) :

  1. Journal of the Physical Society of Japan 59 (1990) pp. 12-15 :
    Power Decay of Phase-Difference and Eigenvalue Distributions in a Radial Twist Map
    Hideki Yamaguchi and Haruyuki Irie
  2. 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
  3. Progress of Theoretical Physics Supplement No.98 (1989) pp. 83-108 :
    Chaotic Mgnetic Field Line in Toroidal Plasmas
    Tadatsugu Hatori, Haruyuki Irie, Yoshihiko Abe and Kazuhiro Urata

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