Theory on excitations of drift Alfv�n waves by energetic particles. I. Variational formulation

Please use this identifier to cite or link to this item: https://ir.lib.ncu.edu.tw/handle/987654321/108298

Title:	Theory on excitations of drift Alfv�n waves by energetic particles. I. Variational formulation
Authors:	陳騮;Zonca, Fulvio;Chen, Liu
Contributors:	理學院物理學系
Keywords:	70 PLASMA PHYSICS AND FUSION TECHNOLOGY;APPROXIMATIONS;Computer simulation;COMPUTERIZED SIMULATION;DISPERSION RELATIONS;Drift;Energetic particles;EXCITATION;FLUCTUATIONS;KINETIC ENERGY;Magnetohydrodynamics;Mathematical analysis;NONLINEAR PROBLEMS;PLASMA;Plasma physics;Plasmas (physics);Variation;VARIATIONAL METHODS;Vorticity equations
Date:	2014-01-01
Issue Date:	2026-04-23 14:42:18 (UTC+8)
Publisher:	American Institute of Physics;Melville: American Institute of Physics
Abstract:	摘要： A unified theoretical framework is presented for analyzing various branches of drift Alfvén waves and describing their linear and nonlinear behaviors, covering a wide range of spatial and temporal scales. Nonlinear gyrokinetic quasineutrality condition and vorticity equation, derived for drift Alfvén waves excited by energetic particles in fusion plasmas, are cast in integral form, which is generally variational in the linear limit; and the corresponding gyrokinetic energy principle is obtained. Well known forms of the kinetic energy principle are readily recovered from this general formulation. Furthermore, it is possible to demonstrate that the general fishbone like dispersion relation, obtained within the present theoretical framework, provides a unified description of drift Alfvén waves excited by energetic particles as either Alfvén eigenmodes or energetic particle modes. The advantage of the present approach stands in its capability of extracting underlying linear and nonlinear physics as well as spatial and temporal scales of the considered fluctuation spectrum. For these reasons, this unified theoretical framework can help understanding experimental observations as well as numerical simulation and analytic results with different levels of approximation. Examples and applications are given in Paper II [F. Zonca and L. Chen, “Theory on excitations of drift Alfvén waves by energetic particles. II. The general fishbone-like dispersion relation,” Phys. Plasmas 21, 072121 (2014)]. 出版者： Melville: American Institute of Physics 出版日期： 2014-07-01 出處： Physics of plasmas, 2014-07, Vol.21 (7) 資源來源： AIP Journals 版權： 2014 EURATOM. 識別號： ISSN: 1070-664X 識別號： EISSN: 1089-7674 識別號： DOI: 10.1063/1.4889019
Appears in Collections:	[Department of Physics] journal & Dissertation

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