Dynamic Properties of One-Dimensional Harmonic Liquids. I : Density Correlation and Transport Coefficients

スポンサーリンク

概要

• 論文の詳細を見る

• The self-diffusion process and the hydrodynamical motion of the local density and velocity are studied in detail on the basis of the calculation of the self-density correlation function and the density correlation function for a one-dimensional system of particles interacting with nearest-neighbor harmonic forces. The velocity correlation function and the memory function associated with the bulk viscosity are found to decrease in amplitude as t^<-1/2> for a long time t, but have an oscillation due to the existence of the maximum frequency in the system. The dissipative effect is ascribed to the structural fluctuation which leads to the lack of crystalline long-range order in one-dimensional systems. For phonon excitations, the same result is obtained as that of the Emery-Axe theory for the mercury chains in the compound Hg_<3-δ>AsF_6.

• 理論物理学刊行会の論文
• 1981-09-25

著者

• Mori H

  Faculty Of Engineering Kyushu Kyoritsu University

• Mori Hazime

  Department Of Applied Physics Faculty Of Engineering Kyushu University

• Yoshida Takeshi

  Department Of Epidemiology Medical Research Institute Tokyo Medical And Dental University

• Shobu K

  Institute For Structural And Engineering Materials National Institute Of Advanced Industrial Science

• Shobu Kazuhisa

  Department Of Physics Kyushu University

• Yoshida Takeshi

  Department Of Biochemistry Hokkaido University School Of Dentistry

• SHOBU Kazuhisa

  Department of Physics, Kyushu University

• YOSHIDA Tatsuo

  Faculty of Science, Ibaraki University

• YOSHIDA Tatsuo

  Faculty of Sciences, Ibaraki University

• Yoshida Takeshi

  Department of Applied Chemistry, Faculty of Engineering, Kanagawa 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)
• 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)
• 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)
• 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
• 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
• Anomalous Diffusion of Vorticity in Fully-Developed Turbulence
• 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
• 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
• 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
• Spectra of Singularities for the Lozi and Henon Maps
• On Partial dimensions and Spectra of Singularities of Strange Attractors
• Kinetic and Hydrodynamic Scalings in an Exactly-Soluble Model for the Brownian Motion
• Shapes of the Power Spectrum of Intermittent Turbulence near Its Onset Point : Condensed Matter and Statistical Physics
• Statistical-Mechanical Approach to Random Frequency Modulations and the Gaussian Memory Function
• Time-Correlation Functions of One-Dimensional Transformations
• A Simplified Theory of Liquid-Solid Transitions. IV : With an Improved Mean Free Volume
• On the Linear Slopes in the Expansion-Rate Spectra of Chaos : General and Mathematical Physics
• Self-Similar Cascades of Band Splittings of Linear Mod 1 Maps : Condensed Matter and Statistical Physics
• Non-Markov Brownian Motions of Macrovariables
• Vortex Stretching and Relative Diffusion in Grid Turbulence
• Intermittency and Relative Diffusion in Fully-Developed Turbulence
• Dynamic Critical Phenomena in Magnetic Systems. I
• 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)
• Contraction of State Variables in Non-Equilibrium Open Systems. II
• Contraction of State Variables in Non-Equilibrium Open Systems. I
• Anomalous Fluctuations near Nonequilibrium Soft Transitions. I : Homogeneous Transitions
• Diffusion of Particles in Fully-Developed Turbulence
• Time Evolution of Fully-Developed Turbulence
• Anomalous Fluctuations near Nonequilibrium Soft Transitions. II : Symmetry-Breaking Transitions
• Scaling for the Space-Time Coarse Graining and Kinetic Equations
• Kinetic Equations of Dilute Electron Plasmas in the Coherent Region
• 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
• Derivation of the Boltzmann Equation by the Scaling Method for Reduction of Processes
• Phonon Frequency and Electron-Phonon Interaction in Metals in a Strong Magnetic Field
• 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

もっと見る 閉じる

スポンサーリンク