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Prog. Theor. Phys. Supplement No.99 (1989) pp. 149-164

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Non-Stationary Chaos Revisited from Large Deviation Theory

Yoji Aizawa

Department of Applied Physics, Waseda University, Tokyo 169

Abstract:

The long time tail of the modified Bernoulli map is discussed in terms of the large deviation theory. The transition from stationary regime to non-stationary regime is characterized by the asymptotic scaling form of the entropy function. The concept of local large deviation property is proposed in understanding the critical regime of the transition. The multi-ergodic feature observed in hamiltonian chaos is briefly considered from the viewpoint of the multiple phase coexistence with different local large deviation properties.


URL : http://ptp.ipap.jp/link?PTPS/99/149/
DOI : 10.1143/PTPS.99.149

[ Full Text PDF : FREE ACCESS (1032K) ] Citation:

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Citing Article(s) :

  1. ERROR : Mag:38, Vol:L596, Page:
  2. Journal of the Physical Society of Japan 60 (1991) pp. 2295-2304 :
    A New Class of Disordered Systems–A Modified Bernoulli System with Long-RangeStructural Correlation–
    Masaki Goda, Hiroaki Yamada, Yoji Aizawa, Kaoru Kurumi, Akira Shudo and Haruhiko Kubo
  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. 84 No. 6 (1990) pp. 1014-1018 :
    Anomalous Convergence of the Time Average in Semi-Markovian Chaotic Dynamics
    Yasuhiro Kikuchi and Yoji Aizawa
  5. Progress of Theoretical Physics Vol. 86 No. 1 (1991) pp. 1-6 :
    On a Random System Which Reveals Anomalous Localization of Wave Functions
    Yoji Aizawa, Akira Shudo, Kaoru Kurumi, Masaki Goda and Hiroaki Yamada
  6. Progress of Theoretical Physics Vol. 90 No. 3 (1993) pp. 547-567 :
    Fine Structures in Stationary and Non-Stationary Chaos
    Kenji Tanaka and Yoji Aizawa
  7. Progress of Theoretical Physics Vol. 114 No. 4 (2005) pp. 737-748 :
    Large Fluctuations in the Stationary-Nonstationary Chaos Transition
    Takuma Akimoto and Yoji Aizawa
  8. Progress of Theoretical Physics Vol. 115 No. 1 (2006) pp. 31-41 :
    Transport Properties of a Piecewise Linear Transformation and Deterministic Lévy Flights
    Tomoshige Miyaguchi
  9. Progress of Theoretical Physics Vol. 116 No. 3 (2006) pp. 503-515 :
    The Lempel-Ziv Complexity of Non-Stationary Chaos in Infinite Ergodic Cases
    Soya Shinkai and Yoji Aizawa
  10. Progress of Theoretical Physics Supplement No.161 (2006) pp. 148-151 :
    Weibull and Log-Weibull Laws in the Stationary-Nonstationary Chaos Transition Process
    Takuma Akimoto and Yoji Aizawa

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