Interaction of Soliton with an Impurity in Nonlinear Lattice
スポンサーリンク
概要
- 論文の詳細を見る
Interaction of a soliton with a mass impurity in the exponential lattice has been studied by means of a computer simulation. We particularly investigate the decrease of the soliton amplitude due to an impurity. The present computation shows that the decrease of amplitude is proportional to (AIND)2 in the region of AINIDI 1, where AIN denotes the incident soliton amplitude and the mass defect D is defined by 1-Q, if Q denotes the mass ratio of the impurity to the host par-ticle. The relation holds whether the impurity is lighter (Q < 1) or heavier ( Q > 1) than the host particle. The result agrees qualitatively with the perturbation theory based on the inverse method. In the case of a light impurity, there remains a 10calized mode near the impurity site, after a soliton has passed through the impurity. The frequency of the localized mode decreases as the amplitude of the mode increases, in a qualitative agreement with a simple mode-coupling theory.
- 社団法人日本物理学会の論文
- 1981-10-15
著者
-
Toda Morikazu
Department Of Applied Mathematics Yokohama National University
-
Watanabe Shinsuke
Research Institute For Energy Materials Yokohama National University
-
Watanabe Shinsuke
Research Information Center Institute Of Plasma Physics Nagoya University:research Institute For Ene
関連論文
- Chaotic Behaviour of Nonlinear Evolution Equation with Fifth Order Dispersion
- Formation of Quasi-Solitary Wave in Korteweg-de Vries Equation from Initial Wave without Bound State
- Asymptotic Behaviour of Collisionless Shock in Nonlinear LC Circuit
- On the Brownian Motion of a Classical Oscillator
- An Analysis of the Toda Lattice with Weak Dissipation
- Experiment on Recurrence in Nonlinear LC Circuit
- Coupled Modes Approach to Non-Linear Dispersive Wave.II.Effect of Dissipation on Recurrence
- Coupled Modes Approach to Non-Linear Dispersive Wave. : I. Recurrence of Soliton
- Soliton and Generation of Cloud in Nonlinear Dispersive Media with Weak Dissipation
- Cylindrical Ion Acoustic Soliton in Plasma with Negative Ion
- Modulational Instability of Ion Wave in Plasma with Negative Ion
- Equilibrium Vapor Pressure of Indium Antimonide
- Method of Conservation Laws for Solving Nonlinear Schrodinger Equation
- K-dV Soliton in Inhomogeneous System
- On the Theory of Brownian Motion and Spin Relaxation
- Backlund Transformation for the Exponential Lattice
- Localized Vibration and Random Walk
- Experiment on Lattice Soliton by Nonlinear LC Circuit-Observation of a Dark Soliton
- Some Properties of the Pair Distribution Function
- Experiment on Soliton-Impurity Interaction in Nonlinear Lattice Using LC Circuit
- Waves in Nonlinear Lattice
- Vibration of a Chain with Nonlinear Interaction
- A Canonical Transformation for the Exponential Lattice
- One-Dimensional Dual Transformation
- Ion Acoustic Soliton in Plasma with Negative Ion
- Experiment on Soliton in Inhomogeneous Electric Circuit. II. Dissipation-Free Case
- Dissipative Effect on Formation of Ion Acoustic Solitons
- Soliton and Generation of Tail in Nonlinear Dispersive Media with Weak Dissipation
- Solitons in Nonlinear Transmission Line
- Experiment on Soliton in Inhomogeneous Electric Circuit. I. Dissipative Case
- Experiment on Lattice Soliton by Nonlinear LC Circuit : Energy of Soliton
- Interaction of Soliton with an Impurity in Nonlinear Lattice
- Preface
- Preface
- Damping Behavior and Space Dimensions (Part II. Time Dependent Problems)
- Statistical Dynamics of Systems of Interacting Oscillators (Part II. Time Dependent Problems)
- Diffusion on the Fermi Surface
- One-Dimensional Dual Transformation
- Wave Propagation in Anharmonic Lattices
- On the Theory of the Brownian Motion
- On the Theory of Quantum Liquids. I. Surface TenSion and Stress