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Kinetic theory of geodesic acoustic modes in toroidal plasmas:a brief review

Plasma Science and Technology 2018年第9期20卷 24-49页

作者： Zhiyong QIU Liu CHEN Fulvio ZONCA Institute for Fusion Theory and Simulation and Department of physics Zhejiang University Department of physics and Astronomy University of California ENEA Fusion and Nuclear Safety Department

Geodesic acoustic modes（GAM） are oscillating zonal structures unique to toroidal plasmas,and have been extensively studied in the past decades due to their potential capabilities of regulating microscopic turbulences and associated anomalous *** article reviews linear and nonlinear theories of GAM;with emphases on kinetic treatment,system nonuniformity and realistic magnetic geometry,in order to reflect the realistic experimental ***,in the linear physics,the resonant wave-particle interactions are discussed,with the application to resonant excitation by energetic particles（EPs）.The theory of EP-induced GAM（EGAM） is applied to realistic devices for the interpretation of experimental observations,and global effects due to coupling to GAM continuum are also ***,in the nonlinear physics,the spontaneous GAM excitation by microscale turbulences is reviewed,including the effects of various system nonuniformities.A unified theoretical framework of GAM/EGAM is then constructed based on our present *** first-principle-based GAM/EGAM theories reviewed here,thus,provide the tools needed for the understanding and interpretation of experimental/numerical results.

关键词： geodesic acoustic mode kinetic theory nonlinear physics energetic particle physics

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Energy shift and subharmonics induced by nonlinearity in a quantum dot system

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Chinese physics B 2023年第6期32卷 135-139页

作者：周圆曹刚李海欧郭国平 CAS Key Laboratory of Quantum Information University of Science and Technology of ChinaHefei 230026China CAS Center For Excellence in Quantum Information and Quantum physics University of Science and Technology of ChinaHefei 230026China Origin Quantum Computing Company Limited Hefei 230026China

The presence of anticrossings induced by coupling between two states causes curvature in energy levels, yielding a nonlinearity in the quantum system. When the system is driven back and forth along the bending energy levels, subharmonic transitions and energy shifts can be observed, which would cause a significant influence as the system is applied to quantum computing. In this paper, we study a longitudinally driven singlet-triplet(ST) system in a double quantum dot(DQD)system, and illustrate the consequences of nonlinearity by driving the system close to the anticrossings. We provide a straightforward theory to quantitatively describe the energy shift and subharmonics caused by nonlinearity, and find good agreement between our theoretical result and the numerical simulation. Our results reveal the existence of nonlinearity in the vicinity of anticrossings and provide a direct way of analytically assessing its impact, which can be applied to other quantum systems without excessive labor.

关键词： quantum dot quantum computing nonlinear physics

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Abundant closed-form wave solutions to the simplified modified Camassa-Holm equation

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Journal of Ocean Engineering and Science 2023年第3期8卷 238-245页

作者： S M Rayhanul Islam S M Yiasir Arafat Hanfeng Wang School of Civil Engineering Central South UniversityChangshaHunan 410075China Department of Mathematics Pabna University of Science and TechnologyPabna 6600Bangladesh

The simplified modified Camassa-Holm (SMCH) equation is an important nonlinear model equation for identifying various wave phenomena in ocean engineering and science. The new auxiliary equation (NAE) method has been applied to the SMCH equation. Base on the method, we have obtained some novel an- alytical solutions such as hyperbolic, trigonometric, exponential, and rational function solutions of the SMCH equation. For appropriate values of parameters, three dimensional (3D) and two dimensional (2D) graphs are designed by Mathematica. The stability of the model is also discussed in this manuscript. The dynamic and physical behaviors of the solutions derived from the SMCH equation have been ex- tensively discussed by these plots. All our solutions are indispensable for understanding the nonlinear phenomena of dispersive waves that are important in ocean engineering and science. In addition, our results are essential to clarify the various oceanographic applications containing ocean gravity waves, offshore rig in water, energy associated with a moving ocean wave and numerous other related phenom- ena. Finally, the obtained solutions are helpful for studying wave interactions in many new structures and high-dimensional models.

关键词： SMCH equation NAE method nonlinear physics Kink shape Solitary wave

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