The Synchronized Periodic Phenomenon in a Nonlinear Lattice Vibration

スポンサーリンク

概要

• 論文の詳細を見る

• We consider a one-dimensional lattice with harmonic as well as quartic potential between nearest neighbors. When one mode is excited initially, an induction phenomenon is observed. The critical value η_c of the anharmonicity parameter η for the disappearance of the induction phenomenon was estimated previously by the stability region of the Mathieu function. The system, however, becomes quasi-periodic when η is larger than, but close, to η_c. This phenomenon is explained by a perturbation theory and by a qualitative argument based on the stability of the Mathieu function. This quasi-periodic phenomenon is a synchronized one, and the presence of a critical value of η for the vanishing of the synchronized periodic motion is suggested.

• 理論物理学刊行会の論文
• 1976-09-30

著者

• Saito^ N

  Waseda Univ. Tokyo Jpn

• Ichimura Atsushi

  Department Of Applied Physics Waseda University

• Saito Nobuhiko

  Department Of Applied Physics School Of Science And Engineering Waseda University

• Saito Nobuhiko

  Department Of Applied Physics And Science And Engineering Research Institute Waseda University

• SAITO Nobuhiko

  Department of Applied Physics,Waseda University

• ICHIMURA Atsushi

  Department of Applied Physics, Waseda University

• ICHIMURA Atsushi

  Cyclotron Laboratory, The Institute of Physical and Chemical Research

関連論文

• Asymmetric Dimethylarginine (ADMA) in the Aqueous Humor of Diabetic Patients
• The Cold-loaded Pain Sensation Test in the Diagnosis of Diabetic Neuropathy
• Finger Analogue Pain Scale : FAS : Algesthesia Evaluation Method Based on Sense of Touch for Visually Impaired Patients
• Determination of Urinary and Serum Pentosidine and Its Application to Elder Patients
• Successful Long-term Treatment with Once-daily Injection of Low-dose Octreotide in an Aged Patient with Insulinoma
• Hormone Profiles after Intramuscular Injection of Testosterone Enanthate in Patients with Hypogonadism
• Statistical Mechanical Theory of the Protein Conformation.II.Folding Pathway for Protein
• Statistical Mechanical Theory of the Protein Conformation.I.General Considerations and the Application to Homopolymers
• Ergodicity, Irreversibility and Approach to Equilibrium
• On the Origin and the Nature of Quantum Chaos : Part II. Quantal Aspects : New Trends in Chaotic Dynamics of Hamiltonian Systems
• Helical Conformation in Some Copolymers of D, L-Amino Acids
• Existence of Low-Dimensional Chaos in Paramecium Membrane Potential Suggested by the Correlation Integral Method
• Conformation of Polypeptide in Helix-Coil Transition Region
• Statistical Mechanical Theory of Protein Conformation and Its Transition(Cross-disciplinary physics and related areas of science and technology)
• Computer Experiments on Ergodic Problems in Anharmonic Lattice Vibrations
• On the Bifurcation of the Periodic Orbits in Certain Hamiltonian Systems
• Coupled Channel Analysis for the Anomaly of the (^O, ^O^*) Reaction
• Spectral Distribution of the Light Scattered from Rodlike Macromolecules in Solution
• Theory of Quantum Measurement in Terms of Quantum Chaos(General)
• Effect of the Angular Velocity on the Sedimentation Constant of Rodlike Macromolecules, II.
• Computer Studies of Ergodicity in Coupled Oscillators with Anharmonic Interaction
• Quantal Logic vs Classical Logic(Condensed Matter and Statistical Physics)
• Linear Response Theory Reformulated from the Chaotic Dynamics
• Long-Time Behavior of the Vibration in One-Dimensional Harmonic Lattice
• Tertiary Structure of Proteins. I. : Representation and Computation of the Conformations
• The Synchronized Periodic Phenomenon in a Nonlinear Lattice Vibration
• External Disturbance to Non-Integrable Hamiltonian System
• On the Stability of Isolating Integrals.II.Ergodic Components in the Stochastic Region
• Electrical Conductivity of Hydrogen-Bonded Polymers
• The Induction Phenomenon and Ergodicity in the Anharmonic Lattice Vibration
• Frictional Properties of Helical Flagella
• Computer Studies on the Approach to Thermal Equilibrium in Coupled Anharmonic Oscillators. : II. One-Dimensional Case
• Level Spacing Distribution and Avoided Crossing in Quantum Chaos
• How to Extract Regularity from Disguised Irregular Levels of Integrable Hamiltonian System
• On the Stability of Lattice Solitons
• The Statistical Mechanical Theory of Stiff Chains
• Chaos around Hyperbolic Fixed Points
• Baker's Transformation and Invariant Measure
• A Note on Thermodynamics of the Harmonic Oscillator with Radiation Damping
• Quasi-Elastic Light Scattering by a Spherical Particle Immersed in a Viscoelastic Medium
• The Ising Model on the Cayley Trees
• Rayleigh Linewidth of the Light Scattered from Flexible Polymers in Solution
• Statistical Mechanics of Flexible Linear Polymers I. Moments of End-to-End Distance of a Polymer
• Conformation of Polypeptides in the Helix-Coil Transition Region. : II. Revised Calculation and Discussion
• Computer Studies on the Approach to Thermal Equilibrium in Coupled Anharmonic Oscillators. : I. Two Dimensional Case
• On the Quantum Mechanics-like Description of the Theories of the Brownian Motion and Quantum Statistical Mechanics
• On the Viscoelasticity and Complex Dielectric Constant in the Presence of an Electric Field and a Shearing Laminar Flow in Solution of Macromolecules
• A One-Dimensional System Undergoing First-Order Diffuse Phase Transition
• On the Stability of Isolating Integrals. I. : Effect of the Perturbation in the Potential Function

もっと見る 閉じる

スポンサーリンク