Diffuse Collective Mode in the Linear Magnetic Chain
スポンサーリンク
概要
- 論文の詳細を見る
On the basis of the classical Heisenberg model, a phenomenological theory is presented in order to investigate the dynamical behavior of a linear magnetic chain. At low temperatures compared to the exchange constant J (k_BT≪J), the short wavelength component of magnetization is shown to exhibit an oscillatory behavior, although the usual spin wave theory is not applicable. The present method becomes useful when the short range order in the system is highly developed and the sum rule concerning the length of the individual spin becomes important. No use is made of the properties Inherent in a one-dimensional system except for the assumption that it remains paramagnetic even in the low temperature limit. Therefore, our theory may qualitatively apply even to three-dimensional systems such that their transition points are considerably lower than J_<z>/k_<B> (z : the number of nearest neighbor spins), owing e. g. to their peculiar lattice structures. For this reason, the results obtained by the present theory imply the possible existence of the so-called "sloppy spin wave".
- 理論物理学刊行会の論文
- 1968-07-25
著者
関連論文
- Mean-Field Theory Revives in Self-Oscillatory Fields with Non-Local Coupling
- Mutual Entrainment between Populations of Coupled Oscillators : General and Mathematical Physics
- Collective Chaos in a Population of Globally Coupled Oscillators : General and Mathematical Physics
- Phase Transition in Chemical Turbulence through Global Feedback : Relevance to Catalytic CO Oxidation on Pt Surfaces
- Neural Network Model Carrying Phase Information with Application to Collective Dynamics : General and Mathematical Physics
- Mutual Entrainment in Oscillator Lattices with Nonvariational Type Interaction : General and Mathematical Physics
- Phase Transitions and Their Bifurcation Analysis in a Large Population of Active Rotators with Mean-Field Coupling : General and Mathematiccal Physics
- Local and Global Self-Entrainments in Oscillator Lattices
- Rotating Spirals without Phase Singularity in Reaction-Diffusion Systems
- A New Perturbation Approach to Highly Nonlinear Chemical Oscillation with Diffusion Process
- Diffusion-Induced Chaos in Reaction Systems
- Wave Propagation in Nonlocally Coupled Oscillators with Noise
- Localized Patterns in Reaction-Diffusion Systems
- Reductive Perturbation Approach to Chemical Instabilities
- Asymptotic Evaluation of Fluctuation of Macrovariables near Instability Points
- A Soluble Active Rotator Model Showing Phase Transitions via Mutual Entrainment : General and Mathematical Physics
- Phase Transitions in Active Rotator Systems : Condensed Matter and Statistical Physics
- Persistent Propagation of Concentration Waves in Dissipative Media Far from Thermal Equilibrium
- A Reduced Model Showing Chemical Turbulence
- Scaling Behavior of Turbulent Oscillators with Non-Local Interaction : Condensed Matter and Statistical Physics
- Diffuse Collective Mode in the Linear Magnetic Chain
- Breakdown of Synchronized State in a Self-Oscillatory Chemical Reaction System
- Spiral Waves in a Nonlinear Dissipative System
- Theory of Melting Transition : Similarity in the Configurational Phase Space
- Fluctuations around Steady States in Chemical Kinetics
- Dynamical Scaling for Spectral Function
- Melting Curve Anomaly and Solid-Solid Phase Transition at High Pressures
- Spin Wave Spectrum Near the Critical Point : A Physical Aspect of the Dynamical Scaling
- On the Formation of Dissipative Structures in Reaction-Diffusion Systems : Reductive Perturbation Approach
- Instability and Turbulence of Wavefronts in Reaction-Diffusion Systems
- On the Green Function Theory of Stanley-Kaplan Phase Transition
- Modified Landau Theory of the Second Order Phase Transition
- Nonlinear Effects on Critical Fluctuations
- A Soluble Model Showing the Liquid-Liquid Transition
- Effects of Diffusion on the Fluctuations in Open Chemical Systems
- Hydrodynamic Fluctuations around Nonequilibrium Steady State
- Renormalization Group Theory of Dynamic Critical Phenomena
- Improvement of the Landau Theory and the Critical Indices
- Rotating Spirals without Phase Singularity in Reaction-Diffusion Systems
- On the Reduction of Evolution Equations in Extended Systems : The Underlying Universal Structure
- Pattern Formation in Oscillatory Chemical Reactions
- Pattern Formation in Chemical Reactions : Entrainment by Pacemaker Impurities
- Note on the Static Correlation Function in Ising Spin System
- Cooperative Phenomena in Two-Dimensional Active Rotator Systems : Condensed Matter and Statistical Physics
- Turbulent State in Chemical Reactions
- Wave Propagation in Nonlocally Coupled Oscillators with Noise