Collective Oscillations in a Plasma

Collective Oscillations in a Plasma

Author: A. I. Akhiezer

Publisher: Elsevier

Published: 2017-07-26

Total Pages: 201

ISBN-13: 1483185893

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International Series of Monographs in Natural Philosophy: Collective Oscillations in a Plasma, Volume 7 presents specific topics within the general field of radio waves propagation. This book contains five chapters that address the theory of linear oscillations in a plasma, the spectra of the eigen oscillations, and the mechanism of high-frequency heating. The opening chapters deal with the self-consistent fields; development of initial perturbation; dispersion permittivity tensor of a plasma in a magnetic field; effect of thermal motion of particles on low-frequency resonances; excitation of oscillations by modulated azimuthal currents; and cyclotron damping of low-frequency oscillations. The next chapters describe the nature of beam instability, the fluctuations in a free equilibrium plasma, and the current causing scattered waves. A study of the probability of scattering is presented. The concluding chapters are devoted to the scattering of electromagnetic waves in a plasma-beam system and the coefficient of reflection determination. The book can provide useful information to scientists, physicists, students, and researchers.


Cyclotron Waves in Plasma

Cyclotron Waves in Plasma

Author: D. G. Lominadze

Publisher: Elsevier

Published: 2013-10-22

Total Pages: 219

ISBN-13: 1483280780

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Cyclotron Waves in Plasma is a four-chapter text that covers the basic physical concepts of the theory of cyclotron waves and cyclotron instabilities, brought about by the existence of steady or alternating plasma currents flowing perpendicular to the magnetic field. This book considers first a wide range of questions associated with the linear theory of cyclotron oscillations in equilibrium plasmas and in electron plasmas in metals and semiconductors. The next chapter deals with the parametric excitation of electron cyclotron oscillations in plasma in an alternating electric field. A chapter focuses on plasma turbulence, which results from the development of cyclotron instabilities. The last chapter discusses pertinent experimental data concerning cyclotron waves in plasma. The book is intended for specialists in plasma physics and a number of related fields, including the physics of the ionosphere, solar wind and, metals, as well as for students and teachers who are specializing in these subjects.


Magnetohydrodynamics and Spectral Theory

Magnetohydrodynamics and Spectral Theory

Author: Alexander E. Lifshits

Publisher: Springer Science & Business Media

Published: 2012-12-06

Total Pages: 458

ISBN-13: 9400925611

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2 The linearized ideal MHO equations. . . . . . . . . . . . 204 3 Spectral problems corresponding to evolutionary problems . . 211 4 Stability of equilibrium configurations and the Energy Principle 215 5 Alternative forms of the plasma potential energy 220 6 Minimization of the potential energy with respect to a parallel displacement . . . . . . . . . . . . . 222 7 Classification of ideal MHO instabilities . 224 8 The linearized non-ideal MHO equations . 226 Chapter 6. Homogeneous and discretely structured plasma oscillations 229 I Introduction . . . . . . . . . . . . . . . 229 2 Alfven waves in an incompressible ideal plasma 230 3 Cold ideal plasma oscillations. . . . 233 4 Compressible hot plasma oscillations 236 5 Finite resistivity effects . . . . . . . 239 6 Propagation of waves generated by a local source 240 7 Stratified plasma oscillations . . . . . . . . . 247 8 Oscillations of a plasma slab . . . . . . . . . 254 9 Instabilities of an ideal stratified gravitating plasma 256 10 Instabilities of a resistive stratified gravitating plasma. 262 Chapter 7. MHO oscillations of a gravitating plasma slab 265 I Introduction . . . . . . . . . . . . . . . 265 2 Gravitating slab equilibrium . . . . . . . . 266 3 Oscillations of a hot compressible plasma slab 267 4 Investigation of the slab stability via the Energy Principle 270 5 On the discrete spectrum of the operator Kk . . . . . . 274 6 On the essential spectrum of the operator Kk . . . . . . 279 7 On the discrete spectrum embedded in the essential spectrum 282 8 The eigenfunction expansion formula . . . . . . . . . . 285 9 Excitation of plasma oscillations by an external power source . 288 10 The linearized equations governing resistive gravitating plasma slab oscillations . . . . . . . . . . . . . . . . . . . . . 290 II Heuristic investigation of resistive instabilities. . . . . . . . . .


An Introduction to the Theory of Plasma Turbulence

An Introduction to the Theory of Plasma Turbulence

Author: V. N. Tsytovich

Publisher: Elsevier

Published: 2016-07-29

Total Pages: 144

ISBN-13: 1483139921

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An Introduction to the Theory of Plasma Turbulence is a collection of lectures given by the author at Culham laboratory. The book deals with developments on the theory of plasma turbulence. The author describes plasma properties in the turbulent regions as mostly non-linear in nature, and notes that these properties can be regarded as a universal spectrum independent of any type of instability. The text then discusses the general problems of the theory of plasma turbulence. The author also shows that elementary excitation of ""dressed"" particles have a finite lifetime associated with non-linear interactions. The book then discusses the excitation of ion-sound turbulence using different processes, for example, shock waves; the text also analyzes the kind of non-linear interactions present in such energy transfer. The author also explains the Langmuir plasma oscillations — a typical collective plasma motion that can be excited using different types of mechanism such as an electron beam. The book then describes the electromagnetic properties of turbulent plasma and relates the state of turbulent plasma as a natural occurrence in the universe. The book notes the problem of cosmic rays, not as an energy transfer to faster particles, but as an energy distribution between particles. The text will prove valuable for nuclear physicists, scientists, and academicians in the field of quantum mechanics.


Cosmic Plasma

Cosmic Plasma

Author: H. Alfvèn

Publisher: Springer Science & Business Media

Published: 2012-12-06

Total Pages: 179

ISBN-13: 9400983743

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The general background of this monograph and the aim of it is described in detail in Chapter I. As stated in 1.7 it is written according to the principle that "when rigour appears to conflict with simplicity, simplicity is given preference", which means that it is intended for a rather broad public. Not only graduate students but also advanced undergraduates should be able to understand at least most of it. This monograph is the result of many years of inspiring discussions with a number of colleagues, for which I want to thank them very much. Especially I should mention the groups in Stockholm and La Jolla: in Stockholm, Dr Carl-Gunne Flilthammar and many of his collaborators, including Drs Lars Block, Per Carlqvist, Lennart lindberg, Michael Raadu, Staffan Torven, Miroslav Babic, and Itlgvar Axniis, and further, Drs Bo Lehnert and Bjorn Bonnevier, all at the Royal Institute of Technology. Of other col leagues in Sweden, I should mention Dr Bertel Laurent, Stockholm University, Dr Aina Elvius, The Stockholm Observatory, and Dr Bengt Hultqvist, Kiruna. In La Jolla my thanks go first of all to Dr Gustaf Arrhenius, who once invited me to La Jolla, which was the start of a most interesting collaboration; further, to Dr W.B.


Predictive Modelling for Energy Management and Power Systems Engineering

Predictive Modelling for Energy Management and Power Systems Engineering

Author: Ravinesh Deo

Publisher: Elsevier

Published: 2020-09-30

Total Pages: 553

ISBN-13: 012817773X

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Predictive Modeling for Energy Management and Power Systems Engineering introduces readers to the cutting-edge use of big data and large computational infrastructures in energy demand estimation and power management systems. The book supports engineers and scientists who seek to become familiar with advanced optimization techniques for power systems designs, optimization techniques and algorithms for consumer power management, and potential applications of machine learning and artificial intelligence in this field. The book provides modeling theory in an easy-to-read format, verified with on-site models and case studies for specific geographic regions and complex consumer markets. - Presents advanced optimization techniques to improve existing energy demand system - Provides data-analytic models and their practical relevance in proven case studies - Explores novel developments in machine-learning and artificial intelligence applied in energy management - Provides modeling theory in an easy-to-read format