Anomalous Diffusion Induced by External Force in the Standard Map. II : Condensed Matter and Statistical Physics
スポンサーリンク
概要
- 論文の詳細を見る
We study the nonlinear response of diffusion processes in Hamiltonian systems that are represented by the standard map with an external force. If an external force is applied to the standard map, in which there exist normal islands of tori and accelerator-mode islands of tori, then chaotic orbits exhibit Levy flight due to intermittent sticking to the normal and accelerator-mode islands. The probability distribution function P(v;n) of the coarse-grained velocity v_n over chaotic orbits of length n turns out to obey the anomalous scaling law n^<-β+1>(v^^- - v)^<-β-1> with a sticking exponent β (> 1) of the normal islands for 0 < v < v^^-, v^^- being the mean velocity, and n^<-β'+1>(v - v^^-)^<-β'-1> with a sticking exponent β'(> 1) of the accelerator-mode islands for v^^- < v < 1.
- 理論物理学刊行会の論文
- 1998-12-25
著者
-
Ishizaki R
Fukuoka Prefectural University
-
Ishizaki Ryuji
Faculty Of Integrated Human Studies And Social Sciences Fukuoka Prefectural University
-
Mori Hazime
Kyushu Kyoritsu University
-
Mori Hazime
Faculty Of Engineering Kyushu Kyoritsu University
関連論文
- Energy Dissipation and Its Fluctuations in Chaotic Dynamical Systems
- Non-Stationary Anomalous Diffusion Produced by a Generalized Shift Map (General)
- Pathological Anomalous Diffusion Generated by a Generalized Shift Map
- 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
- Time Correlations and Diffusion of a Conservative Forced Pendulum
- Anomalous Diffusion and Mixing of Chaotic Orbits in Hamiltonian Dynamical Systems : General and Mathematical Physics
- Anomalous Diffusion Due to Accelerator Modes in the Standard Map : General and Mathematical Physics
- Effects of External Noise on Anomalous Diffusion in Hamiltonian Dynamical Systems
- 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
- Advective Diffusion of Particles in Rayleigh-Benard Convection
- Anomalous Diffusion Induced by External Force in the Standard Map : Condensed Matter and Statistical Physics
- 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
- Long-Time Correlations and Expansion-Rate Spectra of Chaos in Hamiltonian Systems : Progress Letters
- Statistical-Mechanical Approach to Random Frequency Modulations and the Gaussian Memory Function
- A Simplified Theory of Liquid-Solid Transitions. IV : With an Improved Mean Free Volume
- Dynamic Scaling Laws for Bifurcations of Chaos in Dissipative Differential Systems
- Application of Tsallis Nonextensive Statistics to the Anomalous Diffusion of the Standard Map(Condensed Matter and Statistical Physics)
- Anomalous Diffusion Induced by Random Walks with Hierarchical Long-Range Memory(General)
- Anomalous Diffusion Induced by External Force in the Standard Map. II : Condensed Matter and Statistical Physics
- Chaos-Induced Diffusion in a Nonlinear Dissipative Mathieu Equation for a Charged Fine Particle in an AC Trap
- Scaling for the Space-Time Coarse Graining and Kinetic Equations
- Kinetic Equations of Dilute Electron Plasmas in the Coherent Region
- The Quantum-Statistical Theory of Transport Phenomena, I : On the Boltzmann-Uehling-Uhlenbeck Equation
- Evolution of Chaos and Power Spectra in One-Dimensional Maps
- Vortex Stretching and Transport Processes in Fully-Developed Turbulence
- Critical Fluctuations of Schlogl's Chemical Model
- Fractal Dimensions of Chaotic Flows of Autonomous Dissipative Systems
- Stochastic Processes of Macroscopic Variables
- Dynamics of Macrovariables for Nonuniform Systems : Scaling Theory
- Statistical-Mechanical Theory of Kinetic Equations : Kinetic Equations for Dense Gases and Liquids
- Transport, Collective Motion, and Brownian Motion
- Anomalous Diffusion Induced by External Force in the Standard Map. II : Condensed Matter and Statistical Physics