A New Expansion of Dynamical Correlations in Stochastic Processes and Chaotic Dynamics(Condensed Matter and Statistical Physics)
スポンサーリンク
概要
- 論文の詳細を見る
A new expansion method to obtain time correlation functions and large deviation statistical characteristic functions in Markovian stochastic processes and chaotic dynamics is proposed. Because for chaotic dynamics no smooth, steady-state probability density exists, it is not convenient for formulating the problem of solving the eigenvalue problem to the time evolution operator. Instead, we use the Mori projection operator method with an operator projected on a state space larger than that spanned by the dynamical variable under consideration. Choosing the number of additional dynamical variables, we can systematically control the degree of approximations.
- 理論物理学刊行会の論文
- 2005-07-25
著者
-
Fujisaka Hirokazu
Department Of Applied Analysis And Complex Dynamical Systems Graduate School Of Informatics Kyoto Un
-
FUJISAKA Hirokazu
Department of Applied Analysis and Complex Dynamical Systems, Kyoto University
-
FUJISAKA Hirokazu
Department of Applied Analysis and Complex Dynamical Systems, Graduate School of Informatics, Kyoto University
関連論文
- Phenomenological Determination of Scaling Exponents in Two-Dimensional Decaying Turbulence : Condensed Matter and Statistical Physics
- Intermittency Caused by Chaotic Modulation. I : Analysis with a Multiplicative Noise Model : General and Mathematical Physics
- Amplitude Equation of Higher-Dimensional Nikolaevskii Turbulence
- Modeling Chaotic Evolution with Nonlinear Langevin Dynamics
- Asymptotic Behavior of the q-th Order Intermittency Exponent in Fully Developed Turbulence : Classical Phenomenology and Applications
- Dynamical Correlations for the Kuramoto-Sivashinsky Equation(Condensed Matter and Statistical Physics)
- Determination of Chaotic Dynamical Correlations in Terms of Unstable Periodic Orbits(Condensed Matter and Statistical Physics)
- Self-Organization in a Spin Model of Chaos Neural Network
- Self-Similarity and Energy-Dissipation Rate Fluctuations in Turbulence
- Self-Similarity and Energy-Dissipation Rate Fluctuations in Turbulence
- Fluctuation Spectrum for a New Type of Intermittency in a Coupled Electronic Circuit
- Transverse Front Instability in Bistable Systems with Long-Range Interactions(Condensed Matter and Statistical Physics)
- Derivation of Phase Dynamics in Non-Locally Distributed Systems with Periodic Structures in Either Space or Time(Condensed Matter and Statistical Physics)
- Pattern Formation in Swift-Hohenberg Equation under an Oscillating Field(Oscillation, Chaos and Network Dynamics in Nonlinear Science)
- PATTERN FORMATIONS IN REACTION-DIFFUSION SYSTEM(Session IV : Structures & Patterns, The 1st Tohwa University International Meeting on Statistical Physics Theories, Experiments and Computer Simulations)
- Stochastic Model of Chaotic Phase Synchronization. II(Condensed Matter and Statistical Physics)
- Stochastic Model of Chaotic Phase Synchronization. I(Condensed Matter and Statistical Physics)
- Phase Diffusion in Chaotic Oscillators System(Oscillation, Chaos and Network Dynamics in Nonlinear Science)
- Nonlinear Effect on the First Passage Time Distribution
- Statistical Characterization of a Set of Random Hamiltonians : Order-q Free Energy and Fluctuation Spectrum
- 27p-BPS-43 Scaling Laws near Chaotic Transition Points
- On-Off Intermittency Associated with the Breakdown of One-Dimensional Motion
- Mapping Model of Chaotic Phase Synchronization(Condensed Matter and Statistical Physics)
- Scaling Properties of Characteristic Exponents in a Coupled-Chaos System
- Self-Similarity Dynamics of On-Off Intermittency
- Fluctuation Spectrum Theory of Ising Spin Sequences : A New Approach to Ising Spin Patterns : General and Mathematical Physics
- Synchronized States in Asymmetric Coupled Map Systems : Condensed Matter and Statistical Physics
- Characterization of Various Statistics of Diffusive Motion
- TURING INSTABILITY IN THE OREGONATOR MODEL(Session IV : Structures & Patterns, The 1st Tohwa University International Meeting on Statistical Physics Theories, Experiments and Computer Simulations)
- Fluctuation Spectrum and Multicorrelation--Application to low Dimensional Dynamical Systems (統計物理学の展開と応用--多様性の中の類似性(研究会報告))
- ORDERING PROCESS AND BLOCH WALL DYNAMICS IN NEARLY 1D ANISOTROPIC SPIN SYSTEM(Session IV : Structures & Patterns, The 1st Tohwa University International Meeting on Statistical Physics Theories, Experiments and Computer Simulations)
- Noisy Sine-Circle Map as a Model of Chaotic Phase Synchronization(Oscillation, Chaos and Network Dynamics in Nonlinear Science)
- Wandering Behavior of the Chaotic Itinerancy in an Oscillator Neural Network Model(Oscillation, Chaos and Network Dynamics in Nonlinear Science)
- A New Expansion of Dynamical Correlations in Stochastic Processes and Chaotic Dynamics(Condensed Matter and Statistical Physics)
- Magnetic Domain Wall Dynamics Associated with the Dynamic Phase Transition(Oscillation, Chaos and Network Dynamics in Nonlinear Science)
- Intermittency Caused by Chaotic Modulation. II : Lyapunov Exponent, Fractal Structure and Power Spectrum : General of Theoretical Physics
- Dynamic Scaling Law of Order-q Time Correlation Function : General and Mathematical Physics
- Continued Fraction Expansion of Fluctuation Spectrum and Generalized Time Correlation
- "Thermodynamics", Temporal Correlations and Scaling Laws : Complex Dynamics in Nonlinear Systems
- Analytic Properties of Characteristic Exponents for Chaotic Dynamical Systems : General and Mathematical Physics
- Characterization of Statistically Homogeneous Fluctuations : Fluctuation Spectrum and Spatial Correlation : Condensed Matter and Statistical Physics
- Theory of Diffusion and Intermittency in Chaotic Systems.II : Physical Picture for Non-Perturbative Non-Diffusive Motion : Condensed Matter and Statistical Physics
- On-off Intermittency in a Four-Dimensional Poincare Map
- Fluctuation-Spectrum Approach to Anomalous Enhancement of Diffusive Motion in Chaotic Dynamics : General and Mathematical Physics
- New Asymptotic Law Governing Overall Temporal Correlations in Chaotic Systems : Ensemble Homogenization and Order-q Power Spectrum : General and Mathematical Physics
- Theory of Diffusion and Intermittency in Chaotic Systems : Condensed Matter and Statistical Physics
- A Coupled Oscillatory-Reaction System Exhibiting Bifurcation Scheme Leading to a Chaos
- Fluctuation Renormalization in Nonlinear Dynamics
- Statistical Dynamics of Chaotic Flows
- A New Expansion of the Master Equation
- Intermittency Associated with the Breakdown of the Chaos Symmetry
- Stability Theory of Synchronized Motion in Coupled-Oscillator Systems
- Theoretical Study of a Chemical Turbulence
- A Maximum Principle for Determining the Intermittency Exponent μ of Fully Developed Steady Turbulence
- Theory of Diffusion and Intermittency in Chaotic system. III : New Approach to Temporal Correlations
- Stability Theory of Synchronized Motion in Coupled-Oscillator Systems. IV : Instability of Synchronized Chaos and New Intermittency : Condensed Matter and Statistical Physics
- Intermittency Caused By Chaotic Modulation. III : Self-Similarity and Higher Order Correlation Functions : General and Mathematical Physics
- Scaling Structures of Free-Energy Fluctuations in a One-Dimensional Dilute Ising Model : General and Mathematical Physics
- Breakdown of Chaos Symmetry and Intermittency in Band-Splitting Phenomena : General and Mathematical Physics
- Scaling Behaviors of Characteristic Exponents near Chaotic Transition Points : Condensed Matter and Statistical Physics
- On the β-Model of Intermittent Fully-Developed Turbulence
- Reduction of Variables and Processes in Macrodynamics
- Stability Theory of Synchronized Motion in Coupled-Oscillator Systems. II : The Mapping Approach
- Possibility of Soft-Mode Turbulence in Reaction-Diffusion Systems
- New Approach to Multiplicative Stochastic Processes. II : Infinite Number of Time Correlations : Condensed Matter and Statistical Physics
- A Fluctuation Theory of Local Fractal Dimensions
- A New Intermittency in Coupled Dynamical Systems
- Stability Theory of Synchronized Motion in Coupled-Oscillator Systems. III : Mapping Model for Continuous System : Condensed Matter and Statistical Physics
- A New Expansion of Dynamical Correlations in Stochastic Processes and Chaotic Dynamics(Condensed Matter and Statistical Physics)
- A New Mapping Model of Spatiotemporal Dynamics in Oscillatory Media : Condensed Matter and Statistical Physics
- Characterization of Various Statistics of Diffusive Motion