Study on Chaotic transport phenomena
| Project/Area Number |
16540351
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| Research Category |
Grant-in-Aid for Scientific Research (C)
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| Allocation Type | Single-year Grants |
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| Section | 一般 |
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| Research Field |
Mathematical physics/Fundamental condensed matter physics
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| Research Institution | Saga University |
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Principal Investigator |
TOMINAGA Hirotaka Saga University, Faculty of medicine, Assoc. Professor (10258387)
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| Project Period (FY) |
2004 – 2007
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| Project Status |
Completed (Fiscal Year 2007)
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| Budget Amount *help |
¥3,250,000 (Direct Cost: ¥3,100,000、Indirect Cost: ¥150,000)
Fiscal Year 2007: ¥650,000 (Direct Cost: ¥500,000、Indirect Cost: ¥150,000)
Fiscal Year 2006: ¥1,000,000 (Direct Cost: ¥1,000,000)
Fiscal Year 2005: ¥500,000 (Direct Cost: ¥500,000)
Fiscal Year 2004: ¥1,100,000 (Direct Cost: ¥1,100,000)
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| Keywords | Chaos / Transport phenomena / Projection operator method / Memory function / Fluctuation force / Time-correlation function / Power spectra / 時間相関 |
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| Research Abstract |
This study is the fundamental research of chaotic transport processes, namely, we would like to clarify the problem that what kind of physical process exits under various dissipative structures due to chaos or turbulance. In other words, we would like to elucidate chaos dynamical system and turbulence in a point of the statistical thermodyanmical and more physical properties such as viscosity, energy dissipation, heat production and entropy production.
Concretely, we have performed the projection operator method to the nonlinear deterministic equations which bring about chaos or turbulence. Then we have obtained the statistical differential equations with the fluctuating force, leading to the transport coefficients. We have tried to certify the existence of the chaotic transport processes together with the chaotic transport coefficients, and elucidate its physical meanings.
First, we have treated the Duffing oscillators as a typical dissipative dynamical chaotic system and the Henon-Heiles system as a typical conservative chaotic system. We have calculated the memory function and memory spectra with frequencies and obtained the relation between the power spectra of the state variables and the memory spectra. To sum up, we have clarified that main peaks in the power specara of the state variables, which produced by chaos, may be represented by the superposition of the asymmetric Lorentzians and the structure of the peak have a definite relationship with the memory spectra.
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Report
(5 results)
Research Products
(63 results)
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[Presentation] レスラー系カオスの記憶スペクトルと動的構造2007
Author(s)
森 信之, 森 肇, 富永 広貴, 石崎 龍二, 黒木 昌一
Organizer
第113回日本物理学会九州支部例会
Place of Presentation
大分大学
Year and Date
2007-12-01
Description
「研究成果報告書概要(和文)」より
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[Presentation] ヘノン-ハイレス系の記憶関数とカオス誘導摩擦係数2006
Author(s)
石崎 龍二, 森 肇, 富永 広貴, 黒木 昌一, 森 信之
Organizer
研究集会「乱流現象及び多自由度系の動力学, 構造と統計法則」
Place of Presentation
九州大学応用力学研究所
Year and Date
2006-11-23
Description
「研究成果報告書概要(和文)」より
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[Presentation] Duffing振動子系の記憶関数とカオス誘導輸送係数2006
Author(s)
富永 広貴, 森 肇, 石崎 龍二, 黒木 昌一, 森 信之
Organizer
研究集会「乱流現象及び多自由度系の動力学, 構造と統計法則」
Place of Presentation
九州大学応用力学研究所
Year and Date
2006-11-23
Description
「研究成果報告書概要(和文)」より
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[Presentation] レスラー系カオスのランダム化構造2006
Author(s)
森 信之, 森 肇, 富永 広貴, 石崎 龍二, 黒木 昌一
Organizer
日本物理学会2006年秋季大会
Place of Presentation
千葉大学
Year and Date
2006-09-24
Description
「研究成果報告書概要(和文)」より
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[Presentation] Analysis on Memory Function and Chaos induced friction of the Duffing oscillator2005
Author(s)
H., Tominaga, S., Kuroki, R., Ishizaki, H., Mori, N., Mori
Organizer
Dynamics Days in Europe
Place of Presentation
Berlin, Germany
Year and Date
2005-07-25
Description
「研究成果報告書概要(欧文)」より
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[Presentation] 保存力学系における時間相関とパワースペクトル2005
Author(s)
石崎 龍二, 黒木 昌一, 富永 広貴, 森 信之, 森 肇
Organizer
日本物理学会第60回年次大会
Place of Presentation
東京理科大野田キャンパス
Year and Date
2005-03-27
Description
「研究成果報告書概要(和文)」より
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[Presentation] Analysis On Memory Function And Chaos Induced Friction Of The Duffing Oscillator2005
Author(s)
H., Tominaga, R., Ishizaki, S., Kuroki, N., Mori, H., Mori
Organizer
Dynamics Days 2005(USA)
Place of Presentation
Long Beach, CA,USA
Year and Date
2005-01-09
Description
「研究成果報告書概要(欧文)」より
Related Report
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[Presentation] Time-Correlation Functions And Power Spectrum In Hamiltonian Dynamical Systems2005
Author(s)
R., Ishizaki, H., Tominaga, S., Kuroki, N., Mori, H., Mori
Organizer
Dynamics Days 2005(USA)
Place of Presentation
Long Beach, CA,USA
Year and Date
2005-01-08
Description
「研究成果報告書概要(欧文)」より
Related Report
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[Presentation] Analysis on Memory Function and Chaos induced friction of the Duffing oscillator2004
Author(s)
H., Tominaga, S., Kuroki, R., Ishizaki, N., Mori, H., Mori
Organizer
International Symposium on Oscillation, Chaos and Network Dynamics in Nonlinear Science
Place of Presentation
Kyoto
Year and Date
2004-11-26
Description
「研究成果報告書概要(欧文)」より
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