The Theory of Toroidally Confined Plasmas

The Theory of Toroidally Confined Plasmas

Author: Roscoe B White

Publisher: World Scientific Publishing Company

Published: 2013-11-18

Total Pages: 528

ISBN-13: 1783263652

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This graduate level textbook develops the theory of magnetically confined plasma, with the aim of bringing the reader to the level of current research in the field of thermonuclear fusion. It begins with the basic concepts of magnetic field description, plasma equilibria and stability, and goes on to derive the equations for guiding center particle motion in an equilibrium field. Topics include linear and nonlinear ideal and resistive modes and particle transport. It is of use to workers in the field of fusion both for its wide-ranging account of tokamak physics and as a kind of handbook or formulary. This edition has been extended in a number of ways. The material on mode-particle interactions has been reformulated and much new information added, including methodology for Monte Carlo implementation of mode destabilization. These results give explicit means of carrying out mode destabilization analysis, in particular for the dangerous fishbone mode. A new chapter on cyclotron motion in toroidal geometry has been added, with comparisons of the analysis of resonances using guiding center results. A new chapter on the use of lithium lined walls has been added, a promising means of lowering the complexity and cost of full scale fusion reactors. A section on nonlocal transport has been added, including an analysis of Levy flight simulations of ion transport in the reversed field pinch in Padova, RFX.


Book Synopsis The Theory of Toroidally Confined Plasmas by : Roscoe B White

Download or read book The Theory of Toroidally Confined Plasmas written by Roscoe B White and published by World Scientific Publishing Company. This book was released on 2013-11-18 with total page 528 pages. Available in PDF, EPUB and Kindle. Book excerpt: This graduate level textbook develops the theory of magnetically confined plasma, with the aim of bringing the reader to the level of current research in the field of thermonuclear fusion. It begins with the basic concepts of magnetic field description, plasma equilibria and stability, and goes on to derive the equations for guiding center particle motion in an equilibrium field. Topics include linear and nonlinear ideal and resistive modes and particle transport. It is of use to workers in the field of fusion both for its wide-ranging account of tokamak physics and as a kind of handbook or formulary. This edition has been extended in a number of ways. The material on mode-particle interactions has been reformulated and much new information added, including methodology for Monte Carlo implementation of mode destabilization. These results give explicit means of carrying out mode destabilization analysis, in particular for the dangerous fishbone mode. A new chapter on cyclotron motion in toroidal geometry has been added, with comparisons of the analysis of resonances using guiding center results. A new chapter on the use of lithium lined walls has been added, a promising means of lowering the complexity and cost of full scale fusion reactors. A section on nonlocal transport has been added, including an analysis of Levy flight simulations of ion transport in the reversed field pinch in Padova, RFX.


The Theory of Toroidally Confined Plasmas

The Theory of Toroidally Confined Plasmas

Author: R. B. White

Publisher: World Scientific

Published: 2001

Total Pages: 367

ISBN-13: 9781860942778

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This invaluable book is designed to provide a basic introduction to plasma equilibrium, particle orbits, transport, and those ideal and resistive magnetohydrodynamic instabilities which dominate the behavior of toroidal magnetically confined plasmas, and to develop the mathematical methods necessary for their theoretical analysis. The book deals primarily with the consequences of ideal and resistive magnetohydrodynamics, these theories being responsible for most of what is well understood regarding the physics of fusion oriented discharges.


Book Synopsis The Theory of Toroidally Confined Plasmas by : R. B. White

Download or read book The Theory of Toroidally Confined Plasmas written by R. B. White and published by World Scientific. This book was released on 2001 with total page 367 pages. Available in PDF, EPUB and Kindle. Book excerpt: This invaluable book is designed to provide a basic introduction to plasma equilibrium, particle orbits, transport, and those ideal and resistive magnetohydrodynamic instabilities which dominate the behavior of toroidal magnetically confined plasmas, and to develop the mathematical methods necessary for their theoretical analysis. The book deals primarily with the consequences of ideal and resistive magnetohydrodynamics, these theories being responsible for most of what is well understood regarding the physics of fusion oriented discharges.


Instabilities in a Confined Plasma

Instabilities in a Confined Plasma

Author: A.B Mikhailovskii

Publisher: Routledge

Published: 2017-10-05

Total Pages: 462

ISBN-13: 1351438174

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Instabilities in a Confined Plasma is entirely devoted to a theoretical exposition of the subject of plasma instabilities in confined systems. The book is an important contribution to the study of plasma instabilities, not only in fusion devices such as the Tokamak but also in astrophysical phenomena. It covers toroidal confinement systems, internal MHD modes, small-scale MHD instabilities, MHD internal kink modes, MHD modes in collisionless and neoclassical regimes, drift-MHD modes, external kink modes, and Alfven eigenmodes.


Book Synopsis Instabilities in a Confined Plasma by : A.B Mikhailovskii

Download or read book Instabilities in a Confined Plasma written by A.B Mikhailovskii and published by Routledge. This book was released on 2017-10-05 with total page 462 pages. Available in PDF, EPUB and Kindle. Book excerpt: Instabilities in a Confined Plasma is entirely devoted to a theoretical exposition of the subject of plasma instabilities in confined systems. The book is an important contribution to the study of plasma instabilities, not only in fusion devices such as the Tokamak but also in astrophysical phenomena. It covers toroidal confinement systems, internal MHD modes, small-scale MHD instabilities, MHD internal kink modes, MHD modes in collisionless and neoclassical regimes, drift-MHD modes, external kink modes, and Alfven eigenmodes.


Plasma Confinement

Plasma Confinement

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.


Book Synopsis Plasma Confinement by : R. D. Hazeltine

Download or read book Plasma Confinement written by R. D. Hazeltine and published by Courier Corporation. This book was released on 2013-02-20 with total page 480 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.


Magnetically Confined Fusion Plasma Physics

Magnetically Confined Fusion Plasma Physics

Author: Linjin Zheng

Publisher: Morgan & Claypool Publishers

Published: 2019-02-06

Total Pages: 153

ISBN-13: 1643271385

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This book describes the ideal magnetohydrodynamic theory for magnetically conned fusion plasmas. Advanced topics are presented in attempting to fill the gap between the up-to-date research developments and plasma physics textbooks. Nevertheless, they are self contained and trackable with the mathematical treatments detailed and underlying physics explained. Both analytical theories and numerical schemes are given. Besides the current research developments in this field, the future prospects are also discussed. Nowadays, it is believed that, if the ideal MHD theory predicts major instabilities, none of the magnetic confinements of fusion plasmas can survive. The author has also written the book Advanced Tokamak Stability Theory. In view of its importance, the MHD theory is further systematically elaborated in this book. The conventional ideal MHD framework is reviewed together with the newly developed multi-parallel-fluid MHD theory. The MHD equilibrium theory and code are described with the non-letter-'X' separatrix feature pointed out. The continuum modes, quasi-modes, phase mixing, and Alfven resonance heating are analysed. The analytical theories for MHD stability in tokamak configurations are systematically presented, such as the interchange, peeling, ballooning, toroidal Alfven modes, and kink type of modes. The global stability computations are also addressed, including resistive wall modes, error-field amplifications, and Alfven modes, etc.


Book Synopsis Magnetically Confined Fusion Plasma Physics by : Linjin Zheng

Download or read book Magnetically Confined Fusion Plasma Physics written by Linjin Zheng and published by Morgan & Claypool Publishers. This book was released on 2019-02-06 with total page 153 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book describes the ideal magnetohydrodynamic theory for magnetically conned fusion plasmas. Advanced topics are presented in attempting to fill the gap between the up-to-date research developments and plasma physics textbooks. Nevertheless, they are self contained and trackable with the mathematical treatments detailed and underlying physics explained. Both analytical theories and numerical schemes are given. Besides the current research developments in this field, the future prospects are also discussed. Nowadays, it is believed that, if the ideal MHD theory predicts major instabilities, none of the magnetic confinements of fusion plasmas can survive. The author has also written the book Advanced Tokamak Stability Theory. In view of its importance, the MHD theory is further systematically elaborated in this book. The conventional ideal MHD framework is reviewed together with the newly developed multi-parallel-fluid MHD theory. The MHD equilibrium theory and code are described with the non-letter-'X' separatrix feature pointed out. The continuum modes, quasi-modes, phase mixing, and Alfven resonance heating are analysed. The analytical theories for MHD stability in tokamak configurations are systematically presented, such as the interchange, peeling, ballooning, toroidal Alfven modes, and kink type of modes. The global stability computations are also addressed, including resistive wall modes, error-field amplifications, and Alfven modes, etc.


Instabilities in a Confined Plasma

Instabilities in a Confined Plasma

Author: A.B Mikhailovskii

Publisher:

Published: 2017

Total Pages:

ISBN-13: 9780203750728

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"Instabilities in a Confined Plasma is entirely devoted to a theoretical exposition of the subject of plasma instabilities in confined systems. The book is an important contribution to the study of plasma instabilities, not only in fusion devices such as the Tokamak but also in astrophysical phenomena. It covers toroidal confinement systems, internal MHD modes, small-scale MHD instabilities, MHD internal kink modes, MHD modes in collisionless and neoclassical regimes, drift-MHD modes, external kink modes, and Alfven eigenmodes."--Provided by publisher.


Book Synopsis Instabilities in a Confined Plasma by : A.B Mikhailovskii

Download or read book Instabilities in a Confined Plasma written by A.B Mikhailovskii and published by . This book was released on 2017 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: "Instabilities in a Confined Plasma is entirely devoted to a theoretical exposition of the subject of plasma instabilities in confined systems. The book is an important contribution to the study of plasma instabilities, not only in fusion devices such as the Tokamak but also in astrophysical phenomena. It covers toroidal confinement systems, internal MHD modes, small-scale MHD instabilities, MHD internal kink modes, MHD modes in collisionless and neoclassical regimes, drift-MHD modes, external kink modes, and Alfven eigenmodes."--Provided by publisher.


Shear-Alfvén Dynamics of Toroidally Confined Plasmas

Shear-Alfvén Dynamics of Toroidally Confined Plasmas

Author: R. D. Hazeltine

Publisher:

Published: 1985

Total Pages: 164

ISBN-13:

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Book Synopsis Shear-Alfvén Dynamics of Toroidally Confined Plasmas by : R. D. Hazeltine

Download or read book Shear-Alfvén Dynamics of Toroidally Confined Plasmas written by R. D. Hazeltine and published by . This book was released on 1985 with total page 164 pages. Available in PDF, EPUB and Kindle. Book excerpt:


Instabilities in a Confined Plasma

Instabilities in a Confined Plasma

Author: A.B Mikhailovskii

Publisher: Routledge

Published: 2017-10-05

Total Pages: 301

ISBN-13: 1351438166

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Instabilities in a Confined Plasma is entirely devoted to a theoretical exposition of the subject of plasma instabilities in confined systems. The book is an important contribution to the study of plasma instabilities, not only in fusion devices such as the Tokamak but also in astrophysical phenomena. It covers toroidal confinement systems, internal MHD modes, small-scale MHD instabilities, MHD internal kink modes, MHD modes in collisionless and neoclassical regimes, drift-MHD modes, external kink modes, and Alfven eigenmodes.


Book Synopsis Instabilities in a Confined Plasma by : A.B Mikhailovskii

Download or read book Instabilities in a Confined Plasma written by A.B Mikhailovskii and published by Routledge. This book was released on 2017-10-05 with total page 301 pages. Available in PDF, EPUB and Kindle. Book excerpt: Instabilities in a Confined Plasma is entirely devoted to a theoretical exposition of the subject of plasma instabilities in confined systems. The book is an important contribution to the study of plasma instabilities, not only in fusion devices such as the Tokamak but also in astrophysical phenomena. It covers toroidal confinement systems, internal MHD modes, small-scale MHD instabilities, MHD internal kink modes, MHD modes in collisionless and neoclassical regimes, drift-MHD modes, external kink modes, and Alfven eigenmodes.


Theory of Tokamak Plasmas

Theory of Tokamak Plasmas

Author: R.B. White

Publisher: Elsevier

Published: 2017-01-31

Total Pages:

ISBN-13: 1483293262

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This is a graduate textbook on tokamak physics, designed to provide a basic introduction to plasma equilibrium, particle orbits, transport, and those ideal and resistive magnetohydrodynamic instabilities which dominate the behavior of a tokamak discharge, and to develop the mathematical methods necessary for their theoretical analysis.


Book Synopsis Theory of Tokamak Plasmas by : R.B. White

Download or read book Theory of Tokamak Plasmas written by R.B. White and published by Elsevier. This book was released on 2017-01-31 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: This is a graduate textbook on tokamak physics, designed to provide a basic introduction to plasma equilibrium, particle orbits, transport, and those ideal and resistive magnetohydrodynamic instabilities which dominate the behavior of a tokamak discharge, and to develop the mathematical methods necessary for their theoretical analysis.


Magnetic Stochasticity in Magnetically Confined Fusion Plasmas

Magnetic Stochasticity in Magnetically Confined Fusion Plasmas

Author: Sadrilla Abdullaev

Publisher: Springer Science & Business Media

Published: 2013-11-19

Total Pages: 422

ISBN-13: 3319018906

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This is the first book to systematically consider the modern aspects of chaotic dynamics of magnetic field lines and charged particles in magnetically confined fusion plasmas. The analytical models describing the generic features of equilibrium magnetic fields and magnetic perturbations in modern fusion devices are presented. It describes mathematical and physical aspects of onset of chaos, generic properties of the structure of stochastic magnetic fields, transport of charged particles in tokamaks induced by magnetic perturbations, new aspects of particle turbulent transport, etc. The presentation is based on the classical and new unique mathematical tools of Hamiltonian dynamics, like the action--angle formalism, classical perturbation theory, canonical transformations of variables, symplectic mappings, the Poincaré-Melnikov integrals. They are extensively used for analytical studies as well as for numerical simulations of magnetic field lines, particle dynamics, their spatial structures and statistical properties. The numerous references to articles on the latest development in the area are provided. The book is intended for graduate students and researchers who interested in the modern problems of magnetic stochasticity in magnetically confined fusion plasmas. It is also useful for physicists and mathematicians interested in new methods of Hamiltonian dynamics and their applications.


Book Synopsis Magnetic Stochasticity in Magnetically Confined Fusion Plasmas by : Sadrilla Abdullaev

Download or read book Magnetic Stochasticity in Magnetically Confined Fusion Plasmas written by Sadrilla Abdullaev and published by Springer Science & Business Media. This book was released on 2013-11-19 with total page 422 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is the first book to systematically consider the modern aspects of chaotic dynamics of magnetic field lines and charged particles in magnetically confined fusion plasmas. The analytical models describing the generic features of equilibrium magnetic fields and magnetic perturbations in modern fusion devices are presented. It describes mathematical and physical aspects of onset of chaos, generic properties of the structure of stochastic magnetic fields, transport of charged particles in tokamaks induced by magnetic perturbations, new aspects of particle turbulent transport, etc. The presentation is based on the classical and new unique mathematical tools of Hamiltonian dynamics, like the action--angle formalism, classical perturbation theory, canonical transformations of variables, symplectic mappings, the Poincaré-Melnikov integrals. They are extensively used for analytical studies as well as for numerical simulations of magnetic field lines, particle dynamics, their spatial structures and statistical properties. The numerous references to articles on the latest development in the area are provided. The book is intended for graduate students and researchers who interested in the modern problems of magnetic stochasticity in magnetically confined fusion plasmas. It is also useful for physicists and mathematicians interested in new methods of Hamiltonian dynamics and their applications.