Anomalous Diffusion Induced by External Force in the Standard Map : Condensed Matter and Statistical Physics
スポンサーリンク
概要
- 論文の詳細を見る
The diffusion of chaotic orbits in a widespread chaotic sea is normal with a variance proportional to the time t even when islands of tori exist as long as there are no accelerator-mode islands. If an external driving force is applied, however, the diffusion becomes anomalous with a variance t^ζ, ζ>1. Indeed, if one uses the coordinate system moving with the mean velocity of chaotic orbits due to the driving force, the chaotic orbits become identical to the Levy flight due to the intermittent sticking to the islands of tori. This is shown numerically using the standard map with an external force, i.e., the Josephson map. The probability distribution function of the coarse-grained velocity is determined explicitly and turns out to obey an anomalous scaling law characterized by the exponent ζ.
- 理論物理学刊行会の論文
- 1997-02-25
著者
-
森 肇
九大
-
MORI Hazime
Faculty of Engineering, Kyushu Kyoritsu University
-
Mori H
Faculty Of Engineering Kyushu Kyoritsu University
-
Mori Hazime
Department Of Applied Physics Faculty Of Engineering Kyushu University
-
ISHIZAKI Ryuji
Fukuoka Prefectural University
-
ISHIZAKI Ryuji
Faculty of Integrated Human Studies and Social Sciences, Fukuoka Prefectural University
-
Ishizaki Ryuji
Faculty Of Integrated Human Studies And Social Sciences Fukuoka Prefectural University
-
Ishizaki Ryuji
Faculty Of Integrated Humane Studies And Social Sciences Fukuoka Prefectural University
-
Ishizaki Ryuji
Faculty Of Integrated Humane Studies And Social Sciences Fukuoka Prefectural Univewrsity
-
Mori Hazime
Faculty Of Engineering Kyushu Kyoritsu University
-
ISHIZAKI Ryuji
Fukuoka Prefectaral University
-
MORI Hazime
Department of Physics, Kyushu Kyoritsu University
-
Mori Hazime
Faculty of Economics,Kyushu Kyoritsu University
関連論文
- 23aEL-10 Duffing振動子系の時間相関関数の初期レジームと終期レジーム(23aEL その他の力学系,領域11(統計力学,物性基礎論,応用数学,力学,流体物理))
- Energy Dissipation and Its Fluctuations in Chaotic Dynamical Systems
- 間欠性カオスに於ける位相の跳びとその特性関数について(カオスとその周辺,研究会報告)
- 25p-H-9 S字型J-V特性系におけるカオス
- 25a-H-1 タイプI間欠性カオスの振幅変調と位相の跳び
- 26pQD-3 Duffing振動子系の時間相関関数の2つの減衰形(その他の力学系,領域11,統計力学,物性基礎論,応用数学,力学,流体物理)
- 26aQD-1 Henon-Heiles系の時間相関の減衰形の2つのタイプ(保存力学系・力学系とそのモデル,領域11,統計力学,物性基礎論,応用数学,力学,流体物理)
- 29pTK-5 Duffing振動子系の時間相関関数の2重構造(29pTK その他の力学系,領域11(統計力学,物性基礎論,応用数学,力学,流体物理))
- 23pTP-2 Duffing振動子系のパワースペクトルの構造と記憶関数(力学系,領域11,統計力学,物性基礎論,応用数学,力学,流体物理)
- 19aWB-1 Duffing振動子系の記憶関数と記憶関数スペクトルの構造(保存系,領域11,統計力学,物性基礎論,応用数学,力学,流体物理)
- 24aXG-7 Duffing系における記憶関数とカオス摩擦係数の解析VI(24aXG 力学系(結合写像系,その他),領域11(統計力学,物性基礎論,応用数学,力学,流体物理))
- 24aXG-6 レスラー系カオスのランダム化構造(24aXG 力学系(結合写像系,その他),領域11(統計力学,物性基礎論,応用数学,力学,流体物理))
- 27pXE-8 Duffing系における記憶関数とカオス摩擦係数の解析V(27pXE 力学系(保存系),領域11(統計力学,物性基礎論,応用数学,力学,流体物理))
- 22pXE-1 ヘノン-ハイレス系における時間相関関数とパワースペクトルの構造(力学系(保存系),領域11(統計力学,物性基礎論,応用数学,力学,流体物理))
- 22aPS-26 Duffing系における記憶関数とカオス摩擦係数の解析IV(領域11ポスターセッション,領域11(統計力学,物性基礎論,応用数学,力学,流体物理))
- 27pYC-4 保存力学系における時間相関とパワースペクトル(力学系(保存系)・回転と波動,領域11(統計力学,物性基礎論,応用数学,力学,流体物理))
- 27aPS-27 Duffing系における記憶関数と力オス摩擦係数の解析III(領域11,領域12合同ポスターセッション,領域11(統計力学,物性基礎論,応用数学,力学,流体物理))
- 30aWD-5 ヘノン-ハイレス系の記憶関数と摩擦係数II(低自由度カオス,保存力学系)(領域11)
- 27p-BPS-39 保存加熱写像の諸性質
- 保存系でのカオスとトーラスの共存と局所的ゆらぎのスケーリング(カオスとその周辺,研究会報告)
- 標準写像における加速モードによる異常拡散(カオスとその周辺,研究会報告)
- 24a-H-1 保存加熱写像における加速モードによる異常拡散
- 23aWH-10 強制振動子におけるパワースペクトルと輸送係数
- q-Phase Transitions in Chaotic Attractors of Differential Equations at Bifurcation Points : General and Mathematical Physics
- Global Spectral Structures of Type III Intermittent Chaos : General and Mathematical Physics
- Global Spectral Structures of Intermittent Chaos : General and Mathematical Physics
- Global Spectral Structures of Intermittent Chaos
- Memory Spectra and Lorentzian Power Spectra of the Chaotic Duffing Oscillator(General and Mathematical Physics)
- The Memory Function and Chaos-Induced Friction in the Chaotic Henon-Heiles System(Condensed Matter and Statistical Physics)
- Turbulent Transport in Benard Convection(Condensed Matter and Statistical Physics)
- Memory Function Approach to Chaos and Turbulence and the Continued Fraction Expansion (Condensed Matter and Statistical Physics)
- Time Correlations and Power Spectra of the Duffing Equation
- Randomization and Memory Functions of Chaos and Turbulence
- Time Correlations and Diffusion of a Conservative Forced Pendulum
- Time Correlations and Diffusion of a Conservative Forced Pendulum
- 統計力学における輸送係数の意味
- 29p-YK-1 力学系における秩序とカオス
- Anomalous Diffusion and Mixing of Chaotic Orbits in Hamiltonian Dynamical Systems : General and Mathematical Physics
- Anomalous Diffusion and Mixing in an Oscillating Rayleigh-Benard Flow : General and Mathematical Physics
- Crossover of the f(α) Spectra between Critical and Chaotic Regime, and Universal Critical Scaling Laws for Two-Dimensional Fractality : General and Mathematical Physics
- Anomalous Diffusion Due to Accelerator Modes in the Standard Map : General and Mathematical Physics
- ハミルトン系のカオスの拡大率スペクトル(カオスとその周辺,研究会報告)
- Effects of External Noise on Anomalous Diffusion in Hamiltonian Dynamical Systems
- 24a-H-2 保存系カオスにおけるKAMトーラスの影響
- Anomalous Diffusion of Vorticity in Fully-Developed Turbulence
- Rayleigh-Benard対流におけるHamiltonカオス、特にそのaccelator modeについて(カオスとその周辺,研究会報告)
- 25a-H-2 周期的振動下での間欠性カオスの示す挙動
- Statistical Mechanics of Dynamical Systems : Complex Dynamics in Nonlinear Systems
- The q-Phase Transition and Critical Scaling Laws near the Band-Crisis Point of Chaotic Attractors : General and Mathematical Physics
- Critical Scaling Laws of Dynamic Structure Functions for Type I Intermittent Chaos
- Scaling Structures and Statistical Mechanics of Type I Intermittent Chaos : General and Mathematical Physics
- Anomalous Relaxation in One-Dimensional Magnets. II : Satellite Structure of EPR Line Shape
- Anomalous Relaxation in One-Dimensional Magnets.I : Long-Time t^ Tail and Its Cutoff
- Reduced Equations of Motion for Generalized Fluxes and Forces in the Contiued-Fraction Expansion
- A New Continued-Fraction Representation of the Time-Correlation Functions of Transport Fluxes
- Dynamic Critical Phenomena in Magnetic Systems. II : Electrical Resistivity near the Neel Point
- q-Phase Transitions and Critical Phenomena just after Band Crises
- Advective Diffusion of Particles in Rayleigh-Benard Convection
- Anomalous Diffusion Induced by External Force in the Standard Map : Condensed Matter and Statistical Physics
- A Quantum-statistical Theory of Transport Processes
- Dynamic Scaling Laws for the Intermittent Switching between Two Bands : Progress Letters
- Power Spectra of Intermitternt Chaos Due to the Collapse of Period-3 Windows
- Cascade of Attractor-Merging Crises to the Critical Golden Torus and Universal Expansion-Rate Spectra
- Long-Time Correlations and Anomalous Diffusion Due to Accelerator Modes in the Standard Maps
- Linearities of the f(α) Spectrum at Bifurcations of Chaos in Dissipative Differential Systems
- Long-Time Correlations and Expansion-Rate Spectra of Chaos in Hamiltonian Systems : Progress Letters
- q-Phase Transitions and Dynamic Scaling Laws at Attractor-Merging Crises in the Driven Damped Pendulum : Progress Letters
- Dynamic Description of the Critical 2^∞ Attractor and 2^m-Band Chaos : General and Mathematical Physics
- Dynamics on Critical Tori at the Onset of Chaos and Critical KAM Tori
- Singular Local Structures of Chaotic Attractors and q-Phase Transitions of Spatial Scaling Structures
- Classification of Collisions of Chaotic Attractors with Unstable Periodic Orbits in Terms of the q-Phase Transitions.
- Scaling Structures of Chaotic Attractors and q-Phase Transitions at Crises in the Henon and Annulus Maps : General and Mathematical Physics
- Singular Local Structures of Chaotic Attractors Due to Collisions with Unstable Periodic Orbits in Two-Dimensional Maps
- Characterization of Local Structures of Chaotic Attractors in Terms of Coarse-Grained Local Expansion Rates: General and Mathematical Physics
- Spatial and Temporal Scaling Properties of Strange Attractors and Their Representations by Unstable Periodic Orbits
- A Theory of Phase Transitions in Nematic Liquid Crystals
- Nematic-Smectic Phase Transitions in Liquid Crystals
- 27pTC-5 Duffing振動子系の時間相関関数の構造II(27pTC その他の力学系モデル,領域11(統計力学,物性基礎論,応用数学,力学,流体物理))
- Dynamic Properties of One-Dimensional Harmonic Liquids. II : Energy Density Correlation and Heat Transport
- Dynamic Properties of One-Dimensional Harmonic Liquids. I : Density Correlation and Transport Coefficients
- 25a-H-3 Ryaleigh-Benard対流系に対するモデルの改良とカオス的移流の諸性質
- Spectra of Singularities for the Lozi and Henon Maps
- On Partial dimensions and Spectra of Singularities of Strange Attractors
- Shapes of the Power Spectrum of Intermittent Turbulence near Its Onset Point : Condensed Matter and Statistical Physics
- Dynamic Scaling Laws for Bifurcations of Chaos in Dissipative Differential Systems
- On the Linear Slopes in the Expansion-Rate Spectra of Chaos : General and Mathematical Physics
- 21pGS-4 Duffing振動子系の時間相関関数の構造III(21pGS 力学系とその周辺,領域11(統計力学,物性基礎論,応用数学,力学,流体物理))
- Power Spectra of the Intermittent Chaos Generated by the Quadratic Tangent Bifurcation(Progress Letters)
- Anomalous Fluctuations near Nonequilibrium Soft Transitions. I : Homogeneous Transitions
- Anomalous Fluctuations near Nonequilibrium Soft Transitions. II : Symmetry-Breaking Transitions
- Statistical-Mechanical Theory of Random Frequency Modulations and Generalized Brownian Motions
- Kinetic Equations and Fluctuations in μ Space of One-Component Dilute Plasmas
- Statistical-Mechanical Theory of the Boltzmann Equation and Fluctuations in μ Space
- Hopf Bifurcations and Chaos in the S-Shaped I-V Characteristic Systems : Condensed Matter and Statistical Physics
- Anomalous Diffusion of Vorticity in Fully-Developed Turbulence
- Spin Correlation Functions at High Temperatures
- Ultrasonic Attenuation near the Magnetic Critical Point
- 24pAE-14 少数自由度カオス力学系の時間相関関数の構造(24pAE 保存力学系・その他の力学系,領域11(統計力学,物性基礎論,応用数学,力学,流体物理))
- Turbulent Transport in Benard Convection(Condensed Matter and Statistical Physics)
- 7aTA-6 強制振り子(保存系)における拡散と時間相関(力学系(保存系),領域11)