Application of Tsallis Nonextensive Statistics to the Anomalous Diffusion of 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 anomalous diffusion due to accelerator-mode islands in the Standard Map is analyzed with the aid of Tsallis nonextensive statistics. In this treatment, we introduce a new variable x, which represents the displacement per jump while the chaotic orbit is trapped by the accelerator-mode islands. We have shown numerically that the one-jump distribution function p(x) is qualitatively similar to the function p_q(x) derived using the maximum Tsallis entropy principle with appropriate conditions. [C. Tsallis, J. Stat. Phys. 52 (1988), 479; Phys. Lett. A 195 (1994), 329.] We find that the n-jump distribution function p(x, n) converges to the n-jump distribution function p_q(x, n)=1/n^<1/γ>p_q(x/n^<1/γ>) obtained from the Levy-Gnedenko central-limit theorem in the n→∞ limit.
- 理論物理学刊行会の論文
- 2005-11-25
著者
-
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
-
Inoue Masayoshi
Department Of General Thoracic Surgery (l5) Osaka University Graduate School Of Medicine
-
Inoue Masayoshi
Department Of Agriculture Kyoto Prefectural University
関連論文
- Expression of CUB domain containing protein (CDCP1) is correlated with prognosis and survival of patients with adenocarcinoma of lung
- Effect of APF Solution on The Surface Characteristics of Dentin
- Study on Irradiation of Wavelength-modified CO_2 Laser for Tissue Engnieering : Cutting Efficiency of Human Dentin
- Effects of Surface Wetness of Etched Dentin on Bonding Durability of a Total-etch Adhesive System : Comparison of Conventional and Dumbbell-shaped Specimens
- Microleakage of three self-etching primer adhesive systems
- Bond strength of composite resin to dentin irradiated with Er : YAG laser
- Bond strength of two adhesive systems with self-etching primer
- Bilateral lung transplantation with closure of ventricular septal defect in a patient with Eisenmenger syndrome
- Immunological function of thymoma and pathogenesis of paraneoplastic myasthenia gravis
- Non-Stationary Anomalous Diffusion Produced by a Generalized Shift Map (General)
- Pathological Anomalous Diffusion Generated by a Generalized Shift Map
- The Memory Function and Chaos-Induced Friction in the Chaotic Henon-Heiles System(Condensed Matter and Statistical Physics)
- Clinical evaluation of the ability of a newly developed handpiece type LED light to polymerize composite resin restorations
- Discrepancies in evaluating mesio-occlusal metal inlay cavity preparations
- Construction and distribution of web based three-dimensional computer graphics teaching materials for dentistry
- Measurement of precise finger manipulations on a high-speed cutting simulator
- Effects of External Noise on Anomalous Diffusion in Hamiltonian Dynamical Systems
- Dynamical Behavior of a Chaos Neural Network of an Associative Schema Model
- Nearly Synchronized State and a Constant of Motion in a Coupled Chaotic Map : Condensed Matter and Statistical Physics
- Analysis of Time Sequences of Explosive Volcanic Eruptions of Sakurajima : Geophysics, Astronomy and Astrophysics
- Correlation Dimensions of Human-Generated Random Numbers
- Clinical research on treatment of vertically fractured posterior teeth by intentional replantation using dentin bonding and composite resin
- Nonperturbative Analysis of Chaos Synchronization in Coupled Logistic Maps
- Self-Organization in a Spin Model of Chaos Neural Network
- Clinical and pathological aspects of thymic epithelial tumors
- Cardiopulmonary co-morbidity : a critical negative prognostic predictor for pulmonary resection following preoperative chemotherapy and/or radiation therapy in lung cancer patients
- Circulating tumor cells in peripheral blood caused by surgical manipulation of non-small-cell lung cancer : pilot study using an immunocytology method
- Highly Complicated Basins of Periodic Attractors in Coupled Chaotic Maps
- Back Propagation Learning Using a Super Stable Motion
- Castleman's disease arising from an intrapulmonary lymph node
- Video-Assisted Thoracoscopic Bullectomy for Spontaneous Pneumothorax in a Swyer-James Syndrome Patient
- Steroid Therapy without Primary Dose Escalation for Postthymectomy Crisis in 2 Thymomatous Myasthenia Gravis Patients
- Anomalous Diffusion Induced by External Force in the Standard Map : Condensed Matter and Statistical Physics
- Nodular pulmonary amyloidosis
- Time Dependence of the Internal Friction in Alkali Halide Single Crystals
- Statistical Characterization of a Set of Random Hamiltonians : Order-q Free Energy and Fluctuation Spectrum
- Chaotic Response of a Self-Interacting Pseudo-Spin Model
- Biological Implications of Thymectomy for Myasthenia Gravis
- Radiation-induced osteosarcoma 17 years after mediastinal irradiation following surgical removal of thymoma
- Chaos and Diffusion in a Sinusoidal Potential with a Periodic External Field
- Mucin-Producing Tumor of the Pancreas Associated with Pyothorax : Report of a Case
- The inheritance of alcohol dehydrogenase isozymes in seeds of hexaploid Echinochloa crus-galli Beauv.
- Fluctuation Spectrum Theory of Ising Spin Sequences : A New Approach to Ising Spin Patterns : General and Mathematical Physics
- 短時間平均エントロピー
- Application of Tsallis Nonextensive Statistics to the Anomalous Diffusion of the Standard Map(Condensed Matter and Statistical Physics)
- Dynamics of Nonlinear Oscillator Systems
- Anomalous Thermal Conductivity of BaTiO_3 near its Ferroelectric Transition Point
- Edge of Chaos in Stochastically Coupled Cellular Automata : General Physics
- Anomalous Diffusion Induced by Random Walks with Hierarchical Long-Range Memory(General)
- Critical Anomaly of Sound Attenuation and Thermal Conduction in KH_2PO_4-Type Ferroelectric Crystals
- Interstitial Atomic Diffusion in Solids at High Temperatures
- Synchronized States in Asymmetric Coupled Map Systems : Condensed Matter and Statistical Physics
- Appearance of an Invariant Manifold and On-Off Intermittency in Coupled-Maps : Application to a 3-Valued Neuron : Condensed Matter and Statistical Physics
- Characterization of Various Statistics of Diffusive Motion
- Intermittency Caused by Chaotic Modulation. II : Lyapunov Exponent, Fractal Structure and Power Spectrum : General of Theoretical Physics
- Comparison of Acid Resistance of Root Dentin after Treatment with a Mid-Infrared Free Electron Laser at between $\lambda=9.0$ and 9.7 μm
- 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
- 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
- Dynamics of Cognitive Interpretations of a Necker Cube in a Chaos Neural Network : 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
- A Neural Network of Chaotic Oscillators : Progress Letters
- Fluctuation-Spectrum Approach to Anomalous Enhancement of Diffusive Motion in Chaotic Dynamics : General and Mathematical Physics
- Lymphatic and venous malformation of "lymphangiohemangioma" of the anterior mediastinum : case report and literature review
- Solving an Optimization Problem with a Chaos Neural Network
- Quantum Molecular Dynamics Study of a Two-Level Model with a Periodic External Field
- Scenarios Leading to Chaos in a Forced Lotka-Volterra Model : Condensed Matter and Statistical Physics
- Intermittency Associated with the Breakdown of the Chaos Symmetry
- Theory of Diffusion and Intermittency in Chaotic system. III : New Approach to Temporal Correlations
- Scaling Structures of Free-Energy Fluctuations in a One-Dimensional Dilute Ising Model : General and Mathematical Physics
- Pulmonary metastasectomy in patients with renal cell carcinoma : a single-institution experience
- 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
- Initial Condition Dependence of Energy Sharing in Classical Anharmonic Lattice. I
- Pathological Status of Mediastinal Lymph Nodes after Preoperative Concurrent Chemoradiotherapy Determines Prognosis in Patients with Non-Small Cell Lung Cancer
- A Fluctuation Theory of Local Fractal Dimensions
- Bilateral Mediastinal Neurofibroma of the Vagus Nerves in a Patient with Neurofibromatosis Type 1
- Video-Assisted Thoracoscopic Resection of Fractured Ribs to Prevent Descending Aorta Injury in Patient with Chest Trauma
- Null allele alpha-1 antitrypsin deficiency : case report of the total pleural covering technique for disease-associated pneumothorax
- Anomalous Diffusion Induced by External Force in the Standard Map. II : Condensed Matter and Statistical Physics
- Single-lung transplantation in a chronic pulmonary emphysema patient with a marginal donor who was ABO blood group nonidentical but compatible
- Surgical intervention for small-cell lung cancer : what is the surgical role?
- Ectopic Cervical Thymoma Accompanied by Goods Syndrome
- Characterization of Various Statistics of Diffusive Motion
- Initial Condition Dependence of Energy Sharing in Classical Anharmonic Lattice. II