Theoretical plasma physics

Theoretical plasma physics
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理论等离子体物理

DOI:
10.1017/s0022377819000667
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发表时间:
2019
影响因子:
2.5
通讯作者:
B. Cohen
B. Cohen
中科院分区:
物理与天体物理3区
文献类型:
--
作者:
A. Kaufman;B. Cohen

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这些课堂讲稿是由艾伦N。考夫曼在他的研究生等离子体理论课程和后续专题课程(物理242 A,B,C和物理250在加州伯克利大学)。笔记是按照讲课的顺序写的。方程和推导是作为考夫曼提出的,但文字是一个重建的考夫曼的讨论和评论。这些笔记是由布鲁斯本人誊写的。科恩在1971年和1972年,以及科恩在2017年和2018年添加的文字处理,编辑和插图。该系列讲座分为四个主要部分:(一)无碰撞弗拉索夫等离子体(有和没有外加磁场的波和不稳定性的线性理论,Vlasov-Poisson和Vlasov-Maxwell系统,Wentzel-Kramers-Brillouin-Jeffreys(WKBJ)波传播的程函理论);(ii)非线性弗拉索夫等离子体和其他主题(等离子体色散函数,Vlasov-Poisson系统的奇异解,初值问题的脉冲响应解,Gardner稳定性定理,回转共振效应,非线性波,波中的粒子捕获,准线性理论,非线性三波相互作用);(iii)等离子体碰撞和离散现象(动摩擦和波发射的试验粒子理论,经典电阻率,试验粒子理论对多粒子现象的扩展以及玻尔兹曼和勒纳-巴列斯库方程的推导,福克-普朗克碰撞算子,一般散射理论,非线性朗道阻尼,(四)非均匀等离子体(绝热不变性、引导中心漂移、磁流体理论、漂移波稳定性理论介绍)。
These lecture notes were presented by Allan N. Kaufman in his graduate plasma theory course and a follow-on special topics course (Physics 242A, B, C and Physics 250 at the University of California Berkeley). The notes follow the order of the lectures. The equations and derivations are as Kaufman presented, but the text is a reconstruction of Kaufman’s discussion and commentary. The notes were transcribed by Bruce I. Cohen in 1971 and 1972, and word processed, edited and illustrations added by Cohen in 2017 and 2018. The series of lectures is divided into four major parts: (i) collisionless Vlasov plasmas (linear theory of waves and instabilities with and without an applied magnetic field, Vlasov–Poisson and Vlasov–Maxwell systems, Wentzel–Kramers–Brillouin–Jeffreys (WKBJ) eikonal theory of wave propagation); (ii) nonlinear Vlasov plasmas and miscellaneous topics (the plasma dispersion function, singular solutions of the Vlasov–Poisson system, pulse-response solutions for initial-value problems, Gardner’s stability theorem, gyroresonant effects, nonlinear waves, particle trapping in waves, quasilinear theory, nonlinear three-wave interactions); (iii) plasma collisional and discreteness phenomena (test-particle theory of dynamic friction and wave emission, classical resistivity, extension of test-particle theory to many-particle phenomena and the derivation of the Boltzmann and Lenard–Balescu equations, the Fokker–Planck collision operator, a general scattering theory, nonlinear Landau damping, radiation transport and Dupree’s theory of clumps); (iv) non-uniform plasmas (adiabatic invariance, guiding-centre drifts, hydromagnetic theory, introduction to drift-wave stability theory).