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Orbital magnetization in semiconductors

Chinese physics B 2009年第12期18卷 5431-5436页

作者：方诚王志刚李树深张平 Laboratory for Superlattices and Microstructures Institute of SemiconductorsChinese Academy of Sciences Physics Department East China Institute of Technology Institute of Applied Physics and Computational Mathematics Institute of Applied Physics and Computational Mathematics Beijing 100088China Center for Applied Physics and Technology Peking University

This paper theoretically investigates the orbital magnetization of electron-doped （n-type） semiconductor het-erostructures and of hole-doped （p-type） bulk semiconductors, which are respectively described by a two-dimensional electron/hole Hamiltonian with both the included Rashba spin-orbit coupling and Zeeman splitting terms. It is the Zeeman splitting, rather than the Rashba spin-orbit coupling, that destroys the time-reversal symmetry of the semiconductor systems and results in nontrivial orbital magnetization. The results show that the magnitude of the orbital magnetization per hole and the Hall conductance in the p-type bulk semiconductors are about 10^-2-10^-1 effective Bohr magneton and 10^-1-1 e^2/h, respectively. However, the orbital magnetization per electron and the Hall conductance in the n-type semiconductor heterostructures are too small to be easily observed in experiment.

关键词： orbital magnetization Zeeman splitting Berry phase effect semiconductor

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Influence of multi-photon excitation on the atomic above-threshold ionization

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Chinese physics B 2015年第4期24卷 138-142页

作者：田原野王春成李苏宇郭福明丁大军 Roeterdink Wim-Ga 陈基根曾思良刘学深杨玉军 Institute of Atomic and Molecular Physics Jilin University Jilin Provincial Key Laboratory of Applied Atomic and Molecular Spectroscopy Jilin University Department of Physics and Materials Engineering Taizhou University Data Center for High Energy Density Physics Institute of Applied Physics and Computational Mathematics Science and Technology Computational Physics Laboratory Institute of Applied Physics and Computational Mathematics

Using the time-dependent pseudo-spectral scheme, we solve the time-dependent Schrodinger equation of a hydrogen- like atom in a strong laser field in momentum space. The intensity-resolved photoelectron energy spectrum in abovethreshold ionization is obtained and further analyzed. We find that with the increase of the laser intensity, the abovethreshold ionization emission spectrum exhibits periodic resonance structure. By analyzing the population of atomic bound states, we find that it is the multi-photon excitation of bound state that leads to the occurrence of this phenomenon, which is in fairly good agreement with the experimental results.

关键词： time-dependent pseudo-spectral scheme above-threshold ionization resonance structure

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GENERAL DIFFERENCE SCHEMES WITH INTRINSICPARALLELISM FOR SEMILINEAR PARABOLIC SYSTEMS OFDIVERGENCE TYPE

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Journal of computational mathematics 1999年第4期17卷 337-352页

作者： Yu-lin Zhou Guang-wei Yuan(laboratory of computational physics, Center of Nonlinear Studies, institute of applied physics and computational mathematics, P.O. Box 8009, Beijing 100088, China) Laboratory of Computational Physics Center of Nonlinear Studies Institute of Applied Physics and Computational Mathematics Beijing 100088 P.O. Box 8009 China

In this paper the general finite difference schemes with intrinsic parallelism for the boundary value problem of the semilinear parabolic system of divergence type with bounded coefficients are constructed, and the existence and uniqueness of the difference solution for the general schemes are proved. And the convergence of the solutions of the difference schemes to the generalized solution of the original boundary value problem of the semilinear parabolic system is obtained. The multidimensional problems are also studied.

关键词： difference scheme intrinsic parallelism semilinear parabolic system convergence

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The unconditional stable and convergent difference methods with intrinsic parallelism for quasilinear parabolic systems

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Science China mathematics 2004年第3期47卷 453-472页

作者： ZHOU Yulin YUAN Guangwei SHEN Longjun laboratory of computational physics, Center of Nonlinear Studies, institute of applied physics and computational mathematics, Beijing 100088, China 1. Laboratory of Computational Physics Center of Nonlinear Studies Institute of Applied Physics and Computational Mathematics 100088 Beijing China

A kind of the general finite difference schemes with intrinsic parallelism for the boundary value problem of the quasilinear parabolic system is studied without assuming heuristically that the original boundary value problem has the unique smooth vector solution. By the method of a priori estimation of the discrete solutions of the nonlinear difference systems, and the interpolation formulas of the various norms of the discrete functions and the fixed-point technique in finite dimensional Euclidean space, the existence and uniqueness of the discrete vector solutions of the nonlinear difference system with intrinsic parallelism are proved. Moreover the unconditional stability of the general finite difference schemes with intrinsic parallelism is justified in the sense of the continuous dependence of the discrete vector solution of the difference schemes on the discrete data of the original problems in the discrete W 2 (2,1) norms. Finally the convergence of the discrete vector solutions of the certain difference schemes with intrinsic parallelism to the unique generalized solution of the original quasilinear parabolic problem is proved.

关键词： difference scheme, intrinsic parallelism,quasilinear parabolic system, convergence, stability.

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ALTERNATING DIRECTION IMPLICIT OSC SCHEME FOR THE TWO-DIMENSIONAL FRACTIONAL EVOLUTION EQUATION WITH A WEAKLY SINGULAR KERNEL

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Acta Mathematica Scientia 2018年第6期38卷 1689-1711页

作者： Haixiang ZHANG Xuehna YANG Da XU Laboratory of Computational Physics Institute of Applied Physics and Computational Mathematics School of Science Hunan University of Technology Department of Mathematics Hunan Normal University

In this paper, a new kind of alternating direction implicit （ADI） Crank-Nicolson-type orthogonal spline collocation （OSC） method is formulated for the two-dimensional frac-tional evolution equation with a weakly singular kernel arising in the theory of linear viscoelas-ticity. The novel OSC method is used for the spatial discretization, and ADI Crank-Nicolson-type method combined with the second order fractional quadrature rule are considered for thetemporal component. The stability of proposed scheme is rigourously established, and nearlyoptimal order error estimate is also derived. Numerical experiments are conducted to supportthe predicted convergence rates and also exhibit expected super-convergence phenomena.

关键词： fractional equation orthogonal spline collocation scheme alternating directionimplicit stability convergence

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Extremum of second-order directional derivatives

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applied mathematics(A Journal of Chinese Universities) 2011年第4期26卷 379-389页

作者： LU Gui-xia WU Hao SHEN Long-jun National Key Laboratory of Science and Technology on Computational Physics Institute of Applied Physics and Computational Mathematics Beijing 100088 China.

In this paper, the extremum of second-order directional derivatives, i.e. the gradient of first-order derivatives is discussed. Given second-order directional derivatives in three nonparallel directions, or given second-order directional derivatives and mixed directional derivatives in two nonparallel directions, the formulae for the extremum of second-order directional derivatives are derived, and the directions corresponding to maximum and minimum are perpendicular to each other.

关键词： Finite point method second-order directional derivative extremum.

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Formation Process of Magnetized Fusion Target on the YingGuang 1 Device

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Chinese physics Letters 2016年第4期33卷 80-83页

作者：李璐璐贾月松孙奇志刘伟刘正芬秦卫东李军池原杨显俊 Institute of Applied Physics and Computational Mathematics Institute of Fluid Physics China Academy Of Engineering Physics

Magnetized target fusion is an alternative method to fulfill the goal of controlled fusion, which combines advan- tages of both magnetic confinement fusion and inertial confinement fusion since its parameter space lies between the two traditional ways. Field reversed configuration （FFtC） is a good candidate of magnetized targets due to its translatable, compressible, high /3 and high energy density properties. Dynamic formation process of high density FFtC is observed on the YingGuang 1 device for the first time in China. The evolution of a magnetic field is detected with magnetic probes, and the compression process can be clearly seen from images taken with a high-speed multi-frame CCD camera. The process is also studied with two-dimensional magneto hydrodynamic code MPF-2D theoretically, and the results agree well with the experiment. Combining the experimental data and the theoretical analysis, the length of the formed FRC is about 39 cm, the diameter is about 2-2. 7cm, the average density is 1.3× 1016 cm-3, and the average temperature is 137eV.

关键词： of Formation Process of Magnetized Fusion Target on the YingGuang 1 Device is for FRC in ICF high with on

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Mesh Conditions of the Preserving-Maximum-Principle Linear Finite Volume Element Method for Anisotropic Diffusion-Convection-Reaction Equations

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Acta Mathematicae Applicatae Sinica 2023年第3期39卷 707-732页

作者： Lei LIN Jun-liang LV Jing-yan YUE Guang-wei YUAN School of Mathematics Jilin UniversityChangchun 130012China Laboratory of Computational Physics Institute of Applied Physics and Computational MathematicsBeijing 100088China

We develop mesh conditions for linear finite volume element approximations of anisotropic diffusionconvectionreaction problems to satisfy the discrete maximum *** obtain the sufficient conditions to gurantee the both upper and lower bounds of the numerical solution when each angle of arbitrary triangle is O(∥q∥_∞h+∥g∥_∞h~2)-acute and h is small enough,where h denotes the mesh size,q and g are coefficients of the convection and reaction terms,*** deal with the convection-dominated problems,we use the upwind triangle *** such scheme,the mesh condition can be sharper to O(∥g∥_∞h~2)-*** numerical examples are presented to demonstrate the theoretical results.

关键词： anisotropic diffusion-convection-reaction equation finite volume element method discrete maximum principle

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Nonadiabatic Effect on the Rescattering Trajectories of Electrons in Strong Laser Field Ionization Process

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Chinese physics Letters 2016年第9期33卷 29-31页

作者：涂心海郝小雷李卫东胡师林陈京 Institute of Theoretical Physics and Department of Physics Shanxi University Institute of Applied Physics and Computational Mathematics

The important features of the rescattering trajectories in strong field ionization process such as the cutoff of the return energy at 3.17Up and that of the final energy at 10Up are obtained, based on the adiabatic approximation in which the initial momentum of the electron is assumed to be zero. We theoretically study the nonadiabatic effect by assuming a nonzero initial momentum on the rescattering trajectories based on the semiclassical simpleman model. We show that the nonzero initial momentum will modify both the maximal return energy at collision and the final energy after backward scattering, but in different ways for odd and even number of return trajectories. The energies are increased for even number of returns but are decreased for odd number of returns when the nonzero （positive or negative） initial momentum is applied.

关键词： of it in Nonadiabatic Effect on the Rescattering Trajectories of Electrons in Strong Laser Field Ionization Process on is that for

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Effects of reflection distance on Richtmyer–Meshkov instability in the reshock process: A discrete Boltzmann study

arXiv

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arXiv 2025年

作者： Lai, Huilin Lin, Chuandong Li, Demei Yang, Tao Gan, Yanbiao Lian, Lingyan Xu, Aiguo Fujian Normal University Fuzhou350117 China Sino-French Institute of Nuclear Engineering and Technology Sun Yat-sen University Zhuhai519082 China Key Laboratory for Thermal Science and Power Engineering of Ministry of Education Department of Energy and Power Engineering Tsinghua University Beijing100084 China Hebei Key Laboratory of Trans-Media Aerial Underwater Vehicle School of Liberal Arts and Sciences North China Institute of Aerospace Engineering Langfang065000 China National Key Laboratory of Computational Physics Institute of Applied Physics and Computational Mathematics P. O. Box 8009-26 Beijing100088 China National Key Laboratory of Shock Wave and Detonation Physics Mianyang621999 China HEDPS Center for Applied Physics and Technology College of Engineering Peking University Beijing100871 China State Key Laboratory of Explosion Science and Safety Protection Beijing Institute of Technology Beijing100081 China

The Richtmyer–Meshkov (RM) instability occurs when a perturbed interface between two fluids undergoes impulsive acceleration due to a shock wave. In this paper, a numerical investigation of the RM instability during the reshock process is conducted using the two-component discrete Boltzmann method. The influence of reflection distance on the RM instability, including both hydrodynamic and thermodynamic non-equilibrium effects, is explored in detail. The interaction time between the reflected shock wave and the material interface varies with different reflection distances. Larger reflection distances lead to a longer evolution time of the material interface before reshock, resulting in more complex effects on the interface deformation, the mixing extent of the fluid system, and non-equilibrium behaviors after reshock. Additionally, while the reflection distance has a minimal impact on mixing entropy before the secondary impact, a significant difference emerges after the secondary impact. This suggests that the secondary impact enhances the evolution of the RM instability. Furthermore, non-equilibrium behaviors or quantities exhibit complex dynamics due to the influence of the transmitted shock wave, transverse waves, rarefaction waves, material interfaces, and dissipation/diffusion processes. Copyright © 2025, The Authors. All rights reserved.

关键词： Shock waves

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