Flux Coordinates And Magnetic Field Structure

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Flux Coordinates And Magnetic Field Structure

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Author : William D. D'haeseleer
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06

Flux Coordinates And Magnetic Field Structure written by William D. D'haeseleer and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Science categories.

Flux Coordinates and Magnetic Field Structure gives a systematic and rigorous presentation of the mathematical framework and principles underlying the description of magnetically confined fusion plasmas. After a brief treatment of vector algebra in curvilinear coordinate systems the book introduces concepts such as flux surfaces, rotational transforms, and magnetic differential equations. The various specific types of coordinate system are dealt with in detail. Researchers and advanced students in plasma physics, electromagnetics, and mathematical physics will greatly benefit from this useful guide and reference book.

Flux Coordinates And Magnetic Field Structure

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Author : William D D'Haeseleer
language : en
Publisher:
Release Date : 1991-04-10

Flux Coordinates And Magnetic Field Structure written by William D D'Haeseleer and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1991-04-10 with categories.

Magnetic Fields

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Author : Heinz E. Knoepfel
language : en
Publisher: John Wiley & Sons
Release Date : 2008-07-11

Magnetic Fields written by Heinz E. Knoepfel and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008-07-11 with Science categories.

A unique resource for physicists and engineers working with magnetic fields An understanding of magnetic phenomena is essential for anyone working on the practical application of electromagnetic theory. Magnetic Fields: A Comprehensive Theoretical Treatise for Practical Use provides physicists and engineers with a thorough treatment of the magnetic aspects of classical electromagnetic theory, focusing on key issues and problems arising in the generation and application of magnetic fields. From magnetic potentials and diffusion phenomena to magnetohydrodynamics and properties of matter-topics are carefully selected for their relevance to the theoretical framework as well as current technologies. Outstanding in its organization, clarity, and scope, Magnetic Fields: * Examines a wide range of practical problems, from magnetomechanical devices to magnetic acceleration mechanisms * Opens each chapter with reference to pertinent engineering examples * Provides sufficient detail enabling readers to follow the derivation of the results * Discusses solution methods and their application to different problems * Includes more than 300 graphs, 40 tables, 2,000 numbered formulas, and extensive references to the professional literature * Reviews the essential mathematics in the appendices

Magnetohydrodynamics

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Author : J. P. Goedbloed
language : en
Publisher: Cambridge University Press
Release Date : 2019-01-31

Magnetohydrodynamics written by J. P. Goedbloed and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-01-31 with Science categories.

An introduction to magnetohydrodynamics combining theory with advanced topics including the applications of plasma physics to thermonuclear fusion and plasma astrophysics.

Magnetic Stochasticity In Magnetically Confined Fusion Plasmas

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Author : Sadrilla Abdullaev
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-11-19

Magnetic Stochasticity In Magnetically Confined Fusion Plasmas written by Sadrilla Abdullaev and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-11-19 with Science categories.

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.

Chaos And Structures In Nonlinear Plasmas

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Author : Claude Wendell Horton
language : en
Publisher: World Scientific
Release Date : 1996

Chaos And Structures In Nonlinear Plasmas written by Claude Wendell Horton and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1996 with Science categories.

This book develops the subject of nonlinear plasma physics from a general physics perspective. It begins with a description of nonlinear oscillations, the parametric instability, the pendulum, and the nonlinear island overlap criterion. The Kolomogorov-Arnold-Moser (KAM) theory is analyzed. Laboratory visualizations of the KAM theory are presented for experiments in toroidal plasma confinement and rotating fluids. The subjects of transport in E x B flows and geostrophic flows are developed in parallel, stressing the generality of the Charney-Hasegawa-Mima equation. The dual nature of wave turbulence and vortex dynamics is developed for plasmas and geophysical flows. The presentation of the subject of nonlinear maps shows how maps are related to the nonlinear dynamics in plasma physics problems. Numerous space plasma and fusion physics examples are developed throughout the book. The final chapter deals with turbulence theory, renormalized mode coupling equations, and Kolomogorov-type spectra as modified for anisotropic plasmas.

Frontiers In Fusion Research Ii

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Author : Mitsuru Kikuchi
language : en
Publisher: Springer
Release Date : 2015-09-03

Frontiers In Fusion Research Ii written by Mitsuru Kikuchi and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-09-03 with Technology & Engineering categories.

This book reviews recent progress in our understanding of tokamak physics related to steady state operation, and addresses the scientific feasibility of a steady state tokamak fusion power system. It covers the physical principles behind continuous tokamak operation and details the challenges remaining and new lines of research towards the realization of such a system. Following a short introduction to tokamak physics and the fundamentals of steady state operation, later chapters cover parallel and perpendicular transport in tokamaks, MHD instabilities in advanced tokamak regimes, control issues, and SOL and divertor plasmas. A final chapter reviews key enabling technologies for steady state reactors, including negative ion source and NBI systems, Gyrotron and ECRF systems, superconductor and magnet systems, and structural materials for reactors. The tokamak has demonstrated an excellent plasma confinement capability with its symmetry, but has an intrinsic drawback with its pulsed operation with inductive operation. Efforts have been made over the last 20 years to realize steady state operation, most promisingly utilizing bootstrap current. Frontiers in Fusion Research II: Introduction to Modern Tokamak Physics will be of interest to graduate students and researchers involved in all aspects of tokamak science and technology.

Advanced Magnetohydrodynamics

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Author : J. P. Goedbloed
language : en
Publisher: Cambridge University Press
Release Date : 2010-04-29

Advanced Magnetohydrodynamics written by J. P. Goedbloed and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-04-29 with Science categories.

Following on from the companion volume Principles of Magnetohydrodynamics, this textbook analyzes the applications of plasma physics to thermonuclear fusion and plasma astrophysics from the single viewpoint of MHD. This approach turns out to be ever more powerful when applied to streaming plasmas (the vast majority of visible matter in the Universe), toroidal plasmas (the most promising approach to fusion energy), and nonlinear dynamics (where it all comes together with modern computational techniques and extreme transonic and relativistic plasma flows). The textbook interweaves theory and explicit calculations of waves and instabilities of streaming plasmas in complex magnetic geometries. It is ideally suited to advanced undergraduate and graduate courses in plasma physics and astrophysics.

Physics Of Plasmas Close To Thermonuclear Conditions

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Author : B. Coppi
language : en
Publisher: Elsevier
Release Date : 2013-09-17

Physics Of Plasmas Close To Thermonuclear Conditions written by B. Coppi and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-09-17 with Technology & Engineering categories.

Physics of Plasmas Close to Thermonuclear Conditions, Volume 1 contains the proceedings of the Course and Workshop on "Physics of Plasmas Close to Thermonuclear Conditions" held in Varenna, Italy, from August 27 to September 8, 1979. The papers explore the physics of plasmas close to thermonuclear conditions and cover topics ranging from transport phenomena to equilibria and stability, alpha-particles, and heating. Codes and radiation are also discussed, along with impurity problems and refueling. Comprised of 27 chapters, this volume first outlines the neo-classical theory for impurity transport in a toroidal plasma before describing an empirical approach to particle and energy transport in a Tokamak. The reader is then introduced to tearing modes in Tokamaks; magnetohydrodynamic equilibria; and very-low-frequency heating. Subsequent chapters focus on electron cyclotron resonance heating of high-temperature plasmas; radiation in thermonuclear regime; computer models for fusion plasmas; and mathematical and technical problems involved in codes for plasmas in toroidal devices. This book will be of interest to practitioners and research workers engaged in plasma physics.

Topological Methods In Data Analysis And Visualization Ii

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Author : Ronald Peikert
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-01-10

Topological Methods In Data Analysis And Visualization Ii written by Ronald Peikert and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-01-10 with Mathematics categories.

When scientists analyze datasets in a search for underlying phenomena, patterns or causal factors, their first step is often an automatic or semi-automatic search for structures in the data. Of these feature-extraction methods, topological ones stand out due to their solid mathematical foundation. Topologically defined structures—as found in scalar, vector and tensor fields—have proven their merit in a wide range of scientific domains, and scientists have found them to be revealing in subjects such as physics, engineering, and medicine. Full of state-of-the-art research and contemporary hot topics in the subject, this volume is a selection of peer-reviewed papers originally presented at the fourth Workshop on Topology-Based Methods in Data Analysis and Visualization, TopoInVis 2011, held in Zurich, Switzerland. The workshop brought together many of the leading lights in the field for a mixture of formal presentations and discussion. One topic currently generating a great deal of interest, and explored in several chapters here, is the search for topological structures in time-dependent flows, and their relationship with Lagrangian coherent structures. Contributors also focus on discrete topologies of scalar and vector fields, and on persistence-based simplification, among other issues of note. The new research results included in this volume relate to all three key areas in data analysis—theory, algorithms and applications.