Energy Relaxation in Damped Two-Dimensional Graded Elastic Lattices
スポンサーリンク
概要
- 論文の詳細を見る
We have studied the relaxation rate of vibrational modes in damped two-dimensional graded mass lattices. The relaxation rate spectrum in the weak damping limit can be obtained analytically through a perturbation theory based on the semiclassical quantum analogue envelope function. We found dip or peak structures on the relaxation rate spectrum. The dip or peak structures can be described quantitatively by the asymptotic behavior of relaxation rate at the transition frequencies. The frequency dependence of the relaxation rate is qualitatively explained by the mode patterns of gradon modes. The validity of the analytic results is confirmed by numerical solution with weak damping. In the strong damping case, we need to retain higher-order perturbations. These results can be applied to the energy relaxation in analogous systems.
- 2009-12-15
著者
-
Yakubo Kousuke
Department Of Applied Physics Graduate School Of Engineering Hokkaido University
-
Yu Kin
Department Of Physics The Chinese University Of Hong Kong:institute Of Theoretical Physics The Chine
-
Zheng Mingjie
Department Of Information And Physical Sciences Graduate School Of Information Science And Technolog
-
Xiao Jun
Department Of Ophthalmology Children's Hospital Chongqing Medical University Chongqing People's Republic Of China
-
Yu Kin
Department of Physics, The Chinese University of Hong Kong, Shatin, New Territories, Hong Kong, China
-
Zheng Mingjie
Department of Physics, The Chinese University of Hong Kong, Shatin, New Territories, Hong Kong, China
-
Yakubo Kousuke
Department of Applied Physics, Graduate School of Engineering, Hokkaido University, N13-W8, Sapporo 060-8628
関連論文
- Anomalous Size Dependence of Inverse Participation Ratio of Eigenfunctions in Graded Elastic Lattices(Condensed matter: structure and mechanical and thermal properties)
- Variety of Normal Modes and Their Transition Behaviors in Graded Elastic Networks : Square Networks with a Diagonal Gradient(Condensed matter: structure and mechanical and thermal properties)
- Fractons in Percolation Clusters : II. LOW TEMPERATURE PROPERTIES OF SOLIDS : Miscellaneous : Phonon, Structure etc.
- Numerical Achievement of Strong Localization of Light in Optical Waveguides with Aperiodic Grating
- Dynamic Structure Factor and Single-Length Scaling for Random Fractals
- Conductance Cusp of a Driven Mesoscopic Ring : Condensed Matter: Electronic Properties, etc.
- Kapitza Resistance between Sintered Metal Particles and ^3He-^4He Mixture : I. QUANTUM LIQUIDS AND SOLIDS : Interfaces of He
- Analysis of a New Method for Finding Eigenmodes of Very Large Lattice Systems
- Numerical Study of Electron Transport in Coherently Driven Double-Barrier Systems : Condensed Matter: Electronic Properties, etc.
- Distribution of Fluctuating Fractal Dimensions of Finite Critical Systems
- Transfer Matrix Approach to Quantum Transport in a Driven Mesoscopic Ring
- Spin-Wave Dynamics of Percolating Heisenberg Antiferromagnets
- Spectral Dimension of Percolating Heisenberg Antiferromagnets
- Localization Exponents of Waves in Percolation Systems
- Two-Dimensional Electrons in a Random Magnetic Field with a Finite Mean Value
- Direct Observation of Localized Fractons Excited on Percolating Nets
- Crossover Behavior from Vector to Scalar Fractons in the Density of States of Percolating Networks
- Transfer Matrix Approach to Photon-Assisted Quantum Transport in Quantum Point Contacts
- Transfer-Matrix Formalism for 2D Quantum Transport in Long-Range Inhomogeneous Magnetic Fields
- Quantum-Interference Effect on AC Transport of Electrons subject to Long-Range Random Magnetic Fields
- Characteristics of Fractons: from Specific Realizatioons to Ensemble Averages
- Three-Dimensional Dynamic Optical Manipulation by Combining a Diffractive Optical Element and a Spatial Light Modulator
- Energy Relaxation in Damped Two-Dimensional Graded Elastic Lattices
- Prevalence of Eye Diseases and Causes of Visual Impairment in School-Aged Children in Western China
- Retroperitoneal laparoscopic anatrophic nephrolithotomy for large staghorn calculi
- Quantification of Superiority of Broad-Buffer Diodes
- Testing the Order Parameter of the Anderson Transition
- Quantum-Interference Effect on AC Transport of Electrons subject to Long-Range Random Magnetic Fields
- Fluctuations of the Order Parameter in Critical Complex Networks
- Photon-Assisted ac Transport through Quantum Dots
- Sideband Quenching in a Driven Double-Barrier System —Scaling Behavior for Inhomogeneous Potentials—
- Transfer-Matrix Formalism for 2D Quantum Transport in Long-Range Inhomogeneous Magnetic Fields
- Association of IREB2 and CHRNA3/5 polymorphisms with COPD and COPD-related phenotypes in a Chinese Han population