Continuum Approximation for the Motion of a Heavy Particle in One-and Three-Dimensional Lattices (Part II. Time Dependent Problems)
スポンサーリンク
概要
- 論文の詳細を見る
It is shown that a heavy impurity atom in a one-or three-dimensional lattice behaves like a Brownian particle, i.e.its velocity auto-correlation function becomes exponential or oscillatory exponential, in the continuum approximation. In Debye's approximation, the auto-correlation function is modified such that its derivative at the origin of time becomes continuous. Some discussions are given on the relation between these results and the theory of Rubin.
- 理論物理学刊行会の論文
著者
-
Takeno Shozo
Department Of General Education Osaka Institute Of Technology
-
Hori Jun-ichi
Department Of Physics Faculty Of Science Hokkaido University
-
TAKENO Shozo
Department of Physics, Hokkaido University
関連論文
- Superconductivity by Fermion Pairing in Real Space and the Physical Properties of High-T_c Oxide Superconductors
- Josephson Effect and Critical Current by Fermion Pairing in Real Space and High-T_c Oxide Superconductors
- Oscillatory Dynamical Correlations and Elementary Excitations in Liquid He^4 : Condensed Matter and Statistical Physics
- Intrinsic Localized Vibrational Modes in Anharmonic Crystals : Stationary Modes
- Vibron solitons and Soliton-Induced Infrared Spectra of Crystalline Acetanilide : Condensed Matter and Statistical Physics
- Kinks and Breathers Associated with Collective Sugar Puckering in DNA : Condensed Matter and Statistical Physics
- Scattering Matrix and Surface Modes. I
- Frequencies of Localized Lattice Vibrations in One-and Three-Dimensional Lattices (Part I. Time Independent Problem)
- Recurrence Formulae and Two-Dimensional Toda Lattice
- Solutions of Two-and Three-Dimensional Toda Lattice Equations in Terms of Various Forms of Bessel Functions
- Sine-Lattice Equation.II.Nearly Integrable Soliton Properties of π-Kinks and Sonic π-Kinks
- A Sine-Lattice (Sine-Form Discrete Sine-Gordon) Equation : One-and Two-Kink Solutions and Physical Models
- Phonon-Like Excitations in Liquid Helium
- Frequency Spectrum and Low-Temperature Specific Heat of Noncrystalline Solids
- A Theory of Frenkel Excitons Using a Two-Level-Atom Model
- Existence of Nonlinear Rotating Modes in Intrinsic Josephson Effects in High-T_c Superconductors : Condensed Matter: Electronic Properties, etc.
- Self-Sustained Kinks in a One-Dimensional Nonlinear Lattice with Dissipation
- Entropy of Binding between Vacancy and Solute in Harmonic Lattices
- Numerical Evidence of the Existence of Approximate Kink-Antikink States and Breather-Like Modes in Sine-Form Discrete Double Sine-Gordon Equation
- Dynamics and Statistical Mechanics of the Classical Ising Model in a Transverse Field
- Coherent States and Photon Dynamics in the Dicke Model Hamiltonian
- Sine-Lattice Equation.IV.Energy and the Ideal Gas Phenomenology of Kinks
- A^2 Term, Renormalization of Matter-Photon Interaction and Coherent States in Matter-Photon Systems
- Dynamics and Statistical Mechanics of the Classical Ising Model in a Transverse Field II
- Phase Theory of Disordered Systems
- Scattering of a Soliton by an Impurity Atom in the Toda Lattice and Localized Modes
- Some Numerical Experiments and Remarks on the Localization of Eigenmodes in Disordered One-Dimensional Systems
- Phase Transition between Stationary State. III : An Integral Equation for Necessary and Sufficient Liapounoff Functions
- A Coupled Bass-Rotator Model for Structure and Dynamics of DNA : Local Fluctuations in Helical Twist Angles and Topological Solitons(Condensed Matter and Statistical Physics)
- Flowing States and Vortices in the Classical XY Model in an External Field
- Vibron Solitons in One-Dimensional Molecular Crystals
- A Self-Consistent Theory of Memory Function in Classical Simple Liquids. I : Incoherent Scattering Law S_s (k,ω)
- Electron Pairing in Real Space,Model Pseudo-Spin Hamiltonian,and Ginzburg-Landau Equation for High-T_c Oxide Superconductors
- Surface Vibration of a Diatomic Simple Cubic Lattice
- Dynamics of Vortices in Bose Fluids and Classical Continuous Spin Models
- Theories of Spectral Gaps of Higher-Dimensional Disordered Systems
- Scattering of Spin Waves by Point Imperfections
- A Note on Thermodynamics of the Harmonic Oscillator with Radiation Damping
- On the Vibration of Disordered Linear Lattice. III
- Remarks on Time-Dependent Behavior of Disordered Lattice (Part II. Time Dependent Problems)
- Structure of the Spectra of Disordered Systems. II : Spectral Gaps of Disordered Systems
- Phase Transition between Stationary States. II : Liapounoff Function in Benard Problem
- Dynamical Structure Factor and Elementary Excitations in Liquid He^3
- Dynamical Structure Factor and Elementary Excitations in Normal Liquid He^3
- High-Frequency Expansion of Memory Function in Classical Simple Liquids
- Local-Field Correction and Dynamical Structure Factor of Electron Liquids
- Structure of the Spectra of Disordered Systems. I : Fundamental Theorems
- Nonlinear Excitations in a Matter-Photon System
- Dynamical Structure Factor and Collective Modes in Classical One-Component Plasmas
- A Green's Function Method for the Frequency Spectrum of an Isotopically Disordered Lattice (Part I. Time Independent Problem)
- Frequencies of Localized Vibrations of a Diatomic Simple Cubic Lattice with a Point Imperfection
- Sine-Lattice Equation. III. Nearly Integrable Kinks with Arbitrary Kink Amplitude
- A Self-Consistent Theory of Response Function and Effective Potential : A General Theory of Density Fluctuations in Classical and Quantum Liquids
- Dynamics of Vortices in Two-Dimensional Spin Fluids
- Connection among Equations for the Classical Heisenberg Ferromagnet, the Ernst Equation for the Axisymmetric Gravitational Field and the Yang Equations for the Self-Dual Gauge Field
- Multi-(Resonant-Soliton)-Soliton Solutions and Vortex-Like Solutions to Two- and Three-Dimensional Sine-Gordon Equations
- Mass-Difference Scattering and Lattice Thermal Conductivity
- A New Picture of the Vibration of Linear Lattices
- On a Relation between Fluctuation-Dissipation Theorem and Irreversible Thermodynamics
- A Two-Roton Model in Liquid Helium II
- Stationary Solutions to Nonlinear Partial Differential Equations for the Classical Continuous Isotropic Heisenberg Model
- Classical Spin Systems, Nonlinear Evolution Equations and Nonlinear Excitations
- Energy Spectrum of Lattices with Defects. I : General Theory
- A High-Frequency Resonant Mode in Lattice Vibrations
- Methods of Negative-Factor-Counting in the Theory of the Frequency Spectrum of Disordered Lattices (Part I. Time Independent Problem)
- Continuum Approximation for the Motion of a Heavy Particle in One-and Three-Dimensional Lattices (Part II. Time Dependent Problems)
- A Sinh-Lattice Equation-Nearly Integrable Solitons-
- Structure of the Spectra of Disordered Systems
- Phase Transition between Stationary States. I : A Simple Model of Laser-Like Behaviour
- Remarks on Matsuda's Theorem
- Topological Solitions and Modulated Structure of Bases in DNA Double Helices : A Dynamic Plane Base-Rotator Model
- Vibron Solitons and Coherent Polarization in an Exactly Tractable Oscillator-Lattice System : Applications to Solitons in a Helical Proteins and Frohlich's Idea of Biological Activity : Condensed Matter and Statistical Physics
- Exciton Solitons in One-Dimensional Molecular Crystals
- Frequency Spectrum of a Lattice with Heavy Isotopes
- Resonance Scattering of Lattice Waves by Isotopes
- Structure of the Spectra of Disordered Systems. III : Matsuda's Theorem on Special Frequencies