Methods in Nonlinear Plasma Theory

Methods in Nonlinear Plasma Theory PDF

Author: Ronald Davidson

Publisher: Elsevier

Published: 2012-12-02

Total Pages: 377

ISBN-13: 0323153380

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Methods in Nonlinear Plasma Theory is from lectures given in graduate classes in both University of Maryland and University of California at Berkeley. To be able to understand fully the contents in this book, the reader is assumed to be a graduate student with background of classical physics and linear plasma waves and instabilities. This text is divided into two major parts. Part I deals with the coherent nonlinear phenomena, while Part II discusses the turbulent nonlinear phenomena. Six chapters comprise Part I, where basic equations and methods are described and discussed. Some of these methods are Vlasov-Maxwell equations and Korteweg-de Vries equation. Part II meanwhile has eight chapters that discuss frameworks and theories for weak plasma turbulence. Specifically, the weak turbulence theory is presented as it is applied to electromagnetic wave-particle interactions, nonlinear wave-wave interactions, and nonlinear wave-particle interactions. This book is a useful reference for students and researchers in the study of classical physics and plasma theory.

Nonlinear Physics of Plasmas

Nonlinear Physics of Plasmas PDF

Author: Mitsuo Kono

Publisher: Springer Science & Business Media

Published: 2010-10-17

Total Pages: 540

ISBN-13: 3642146945

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A nonlinearity is one of the most important notions in modern physics. A plasma is rich in nonlinearities and provides a variety of behaviors inherent to instabilities, coherent wave structures and turbulence. The book covers the basic concepts and mathematical methods, necessary to comprehend nonlinear problems widely encountered in contemporary plasmas, but also in other fields of physics and current research on self-organized structures and magnetized plasma turbulence. The analyses make use of strongly nonlinear models solved by analytical techniques backed by extensive simulations and available experiments. The text is written for senior undergraduates, graduate students, lecturers and researchers in laboratory, space and fusion plasmas.

Plasma Physics

Plasma Physics PDF

Author: Hans Wilhelmsson

Publisher: Springer Science & Business Media

Published: 2013-11-21

Total Pages: 525

ISBN-13: 1475715714

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A Nobel Foundation Symposium on the subject: "Nonlinear Effects 1n Plasmas", was held at Aspenasgarden, Lerum, in the G6teborg area of Sweden from June 11-17, 1976. The Symposium was the 36th in the series of Nobel Foundation Symposia, which have been held mainly within the areas of physics, chemistry, medicine, literature and peace prizes. Some 30 leading experts from the United States, Soviet Union, Japan and Western Europe attended the Symposium. The purpose of the Symposium was to discuss various topics in the field of modern plasma physics. We had to select from this vast area of active research a suitable common theme with a great number of new and interesting contributions. We decided to devote our Sym posium in particular to nonlinear effects in plasmas and to emphasize some areas where important developments seemed to be taking place. In recent years basic theory and experiments in nonlinear plasma physics have been stimulated largely by the need for an energy source based on fusion of light nuclei. In many laboratories all over the world attempts are being made to come closer to the final goal by studying magnetically confined plasmas and systems of inertial con finement. Heating of plasmas to fusion temperatures remains a key problem. There are good reasons to believe that the nonlinear effects in plasmas will play an important role for fusion, a long-range program which is still largely in its basic research phase.

An Introduction to the Linear Theories and Methods of Electrostatic Waves in Plasmas

An Introduction to the Linear Theories and Methods of Electrostatic Waves in Plasmas PDF

Author: William Jones

Publisher: Springer Science & Business Media

Published: 2012-12-06

Total Pages: 320

ISBN-13: 1475702116

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Modern plasma physics, encompassing wave-particle interactions and collec tive phenomena characteristic of the collision-free nature of hot plasmas, was founded in 1946 when 1. D. Landau published his analysis of linear (small amplitude) waves in such plasmas. It was not until some ten to twenty years later, however, with impetus from the then rapidly developing controlled fusion field, that sufficient attention was devoted, in both theoretical and experimental research, to elucidate the importance and ramifications of Landau's original work. Since then, with advances in laboratory, fusion, space, and astrophysical plasma research, we have witnessed important devel opments toward the understanding of a variety of linear as well as nonlinear plasma phenomena, including plasma turbulence. Today, plasma physics stands as a well-developed discipline containing a unified body of powerful theoretical and experimental techniques and including a wide range of appli cations. As such, it is now frequently introduced in university physics and engineering curricula at the senior and first-year-graduate levels. A necessary prerequisite for all of modern plasma studies is the under standing oflinear waves in a temporally and spatially dispersive medium such as a plasma, including the kinetic (Landau) theory description of such waves. Teaching experience has usually shown that students (seniors and first-year graduates), when first exposed to the kinetic theory of plasma waves, have difficulties in dealing with the required sophistication in multidimensional complex variable (singular) integrals and transforms.

Classical Kinetic Theory of Weakly Turbulent Nonlinear Plasma Processes

Classical Kinetic Theory of Weakly Turbulent Nonlinear Plasma Processes PDF

Author: Peter H. Yoon

Publisher: Cambridge University Press

Published: 2019-09-12

Total Pages: 365

ISBN-13: 1316772187

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Kinetic theory of weakly turbulent nonlinear processes in plasma helped form the foundation of modern plasma physics. This book provides a systematic overview of the kinetic theory of weak plasma turbulence from a modern perspective. It covers the fundamentals of weak turbulence theory, including the foundational concepts and the mathematical and technical details. Some key obstacles to space plasma applications are also covered, including the origin of non-thermal charged particle population, and radio burst phenomena from the sun. Treating both collective and discrete particle effects, the book provides a valuable reference for researchers looking to familiarize themselves with plasma weak turbulence theory.

Ray Methods for Nonlinear Waves in Fluids and Plasmas

Ray Methods for Nonlinear Waves in Fluids and Plasmas PDF

Author: Marcelo Anile

Publisher: CRC Press

Published: 2021-06-24

Total Pages: 268

ISBN-13: 1000447588

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Presents in a systematic and unified manner the ray method, in its various forms, for studying nonlinear wave propagation in situations of physical interest, essentially fluid dynamics and plasma physics.

Guided-Wave-Produced Plasmas

Guided-Wave-Produced Plasmas PDF

Author: Yu. M. Aliev

Publisher: Springer

Published: 2012-11-12

Total Pages: 292

ISBN-13: 9783642629822

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Guided-Wave-Produced Plasmas provides an up-to-date report on the physics of plasmas produced by the high-frequency electromagnetic fields of guided waves. The modelling of discharges generated by travelling surface waves is presented using a unified approach based on modern aspects of nonlinear plasma theory. Diagnostic methods needed for research and the main experimental results on plasma behaviour are covered in detail. The methods and ideas presented are liekly to lead to a wide variety of applications in plasma technology.

An Introduction to the Linear Theories and Methods of Electrostatic Waves in Plasmas

An Introduction to the Linear Theories and Methods of Electrostatic Waves in Plasmas PDF

Author: William Jones

Publisher: Springer

Published: 2013-10-09

Total Pages: 312

ISBN-13: 9781475702125

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Modern plasma physics, encompassing wave-particle interactions and collec tive phenomena characteristic of the collision-free nature of hot plasmas, was founded in 1946 when 1. D. Landau published his analysis of linear (small amplitude) waves in such plasmas. It was not until some ten to twenty years later, however, with impetus from the then rapidly developing controlled fusion field, that sufficient attention was devoted, in both theoretical and experimental research, to elucidate the importance and ramifications of Landau's original work. Since then, with advances in laboratory, fusion, space, and astrophysical plasma research, we have witnessed important devel opments toward the understanding of a variety of linear as well as nonlinear plasma phenomena, including plasma turbulence. Today, plasma physics stands as a well-developed discipline containing a unified body of powerful theoretical and experimental techniques and including a wide range of appli cations. As such, it is now frequently introduced in university physics and engineering curricula at the senior and first-year-graduate levels. A necessary prerequisite for all of modern plasma studies is the under standing oflinear waves in a temporally and spatially dispersive medium such as a plasma, including the kinetic (Landau) theory description of such waves. Teaching experience has usually shown that students (seniors and first-year graduates), when first exposed to the kinetic theory of plasma waves, have difficulties in dealing with the required sophistication in multidimensional complex variable (singular) integrals and transforms.

Plasma Confinement

Plasma Confinement PDF

Author: R. D. Hazeltine

Publisher: Courier Corporation

Published: 2013-02-20

Total Pages: 480

ISBN-13: 0486151034

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Graduate-level text examines the essential physics underlying international research in magnetic confinement fusion with accounts of fundamental concepts behind methods of confining plasma at or near thermonuclear conditions. 1992 edition.