Flux Coordinates And Magnetic Field Structure

Author : William D. D'haeseleer,William N.G. Hitchon,James D. Callen,J. Leon Shohet
Publisher : Springer Science & Business Media
Page : 250 pages
File Size : 52,7 Mb
Release : 2012-12-06
Category : Science
ISBN : 9783642755958

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Flux Coordinates and Magnetic Field Structure by William D. D'haeseleer,William N.G. Hitchon,James D. Callen,J. Leon Shohet Pdf

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.

Author : Heinz E. Knoepfel
Publisher : John Wiley & Sons
Page : 643 pages
File Size : 46,8 Mb
Release : 2008-07-11
Category : Science
ISBN : 9783527617425

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Magnetic Fields by Heinz E. Knoepfel Pdf

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

Author : Mitsuru Kikuchi,Masafumi Azumi
Publisher : Springer
Page : 402 pages
File Size : 50,5 Mb
Release : 2015-09-03
Category : Technology & Engineering
ISBN : 9783319189055

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Frontiers in Fusion Research II by Mitsuru Kikuchi,Masafumi Azumi Pdf

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.

Author : Pierre Schnizer
Publisher : Springer
Page : 166 pages
File Size : 51,5 Mb
Release : 2017-09-25
Category : Science
ISBN : 9783319656663

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Advanced Multipoles for Accelerator Magnets by Pierre Schnizer Pdf

This monograph presents research on the transversal beam dynamics of accelerators and evaluates and describes the respective magnetic field homogeneity. The widely used cylindrical circular multipoles have disadvantages for elliptical apertures or curved trajectories, and the book also introduces new types of advanced multipole magnets, detailing their application, as well as the numerical data and measurements obtained. The research presented here provides more precise descriptions of the field and better estimates of the beam dynamics. Moreover, the effects of field inhomogeneity can be estimated with higher precision than before. These findings are further elaborated to demonstrate their usefulness for real magnets and accelerator set ups, showing their advantages over cylindrical circular multipoles. The research findings are complemented with data obtained from the new superconducting beam guiding magnet models (SIS100) for the FAIR (Facility for Antiproton and Ion Research) project. Lastly, the book offers a comprehensive survey of error propagation in multipole measurements and an appendix with Mathematica scripts to calculate advanced magnetic coil designs.

Author : Hans Goedbloed,Rony Keppens,Stefaan Poedts
Publisher : Cambridge University Press
Page : 995 pages
File Size : 46,8 Mb
Release : 2019-01-31
Category : Science
ISBN : 9781107123922

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Magnetohydrodynamics by Hans Goedbloed,Rony Keppens,Stefaan Poedts Pdf

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

Author : Sadrilla Abdullaev
Publisher : Springer Science & Business Media
Page : 412 pages
File Size : 41,8 Mb
Release : 2013-11-19
Category : Science
ISBN : 9783319018904

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Magnetic Stochasticity in Magnetically Confined Fusion Plasmas by Sadrilla Abdullaev Pdf

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.

Author : Y. H. Ichikawa
Publisher : Allied Publishers
Page : 360 pages
File Size : 46,6 Mb
Release : 2002
Category : Chaotic behavior in systems
ISBN : 8177642340

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Chaos and Structure in Nonlinear Plasmas by Y. H. Ichikawa Pdf

Author : J. P. Goedbloed,Rony Keppens,Stefaan Poedts
Publisher : Cambridge University Press
Page : 651 pages
File Size : 43,7 Mb
Release : 2010-04-29
Category : Science
ISBN : 9781139487283

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Advanced Magnetohydrodynamics by J. P. Goedbloed,Rony Keppens,Stefaan Poedts Pdf

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.

Author : Mitsuru Kikuchi
Publisher : Springer Science & Business Media
Page : 275 pages
File Size : 52,5 Mb
Release : 2011-03-16
Category : Technology & Engineering
ISBN : 9781849964111

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Frontiers in Fusion Research by Mitsuru Kikuchi Pdf

Frontiers in Fusion Research provides a systematic overview of the latest physical principles of fusion and plasma confinement. It is primarily devoted to the principle of magnetic plasma confinement, that has been systematized through 50 years of fusion research. Frontiers in Fusion Research begins with an introduction to the study of plasma, discussing the astronomical birth of hydrogen energy and the beginnings of human attempts to harness the Sun’s energy for use on Earth. It moves on to chapters that cover a variety of topics such as: • charged particle motion, • plasma kinetic theory, • wave dynamics, • force equilibrium, and • plasma turbulence. The final part of the book describes the characteristics of fusion as a source of energy and examines the current status of this particular field of research. Anyone with a grasp of basic quantum and analytical mechanics, especially physicists and researchers from a range of different backgrounds, may find Frontiers in Fusion Research an interesting and informative guide to the physics of magnetic confinement.

Author : Pablo Martín,Julio Puerta
Publisher : Springer Science & Business Media
Page : 1080 pages
File Size : 47,5 Mb
Release : 1999-01-31
Category : Science
ISBN : 079235527X

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Plasma Physics by Pablo Martín,Julio Puerta Pdf

This book contains a broad spectrum of plasma physics areas, from magnetic confinement (tokamaks) to spectroscopy in plasmas. The invited papers of the LAWPP present mini-courses for graduate students and review papers in each area, also updating the new ideas in the field.

Author : Todd Evans
Publisher : BoD – Books on Demand
Page : 378 pages
File Size : 53,5 Mb
Release : 2010-01-01
Category : Computers
ISBN : 9789537619619

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Nonlinear Dynamics by Todd Evans Pdf

This volume covers a diverse collection of topics dealing with some of the fundamental concepts and applications embodied in the study of nonlinear dynamics. Each of the 15 chapters contained in this compendium generally fit into one of five topical areas: physics applications, nonlinear oscillators, electrical and mechanical systems, biological and behavioral applications or random processes. The authors of these chapters have contributed a stimulating cross section of new results, which provide a fertile spectrum of ideas that will inspire both seasoned researches and students.

Author : Ronald Peikert,Helwig Hauser,Hamish Carr,Raphael Fuchs
Publisher : Springer Science & Business Media
Page : 299 pages
File Size : 50,7 Mb
Release : 2012-01-10
Category : Mathematics
ISBN : 9783642231759

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Topological Methods in Data Analysis and Visualization II by Ronald Peikert,Helwig Hauser,Hamish Carr,Raphael Fuchs Pdf

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.

Author : Wu, Chuanren
Publisher : KIT Scientific Publishing
Page : 232 pages
File Size : 42,7 Mb
Release : 2019-09-09
Category : Technology & Engineering
ISBN : 9783731509349

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Conceptual Studies of Multistage Depressed Collectors for Gyrotrons by Wu, Chuanren Pdf

Author : Wojciech Fundamenski
Publisher : Cambridge University Press
Page : 445 pages
File Size : 51,6 Mb
Release : 2010
Category : Science
ISBN : 9780521851718

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Power Exhaust in Fusion Plasmas by Wojciech Fundamenski Pdf

A complete and up-to-date summary of power exhaust in fusion plasmas, for academic researchers and graduate students in plasma physics.

Author : Andrés de Bustos Molina
Publisher : Springer Science & Business Media
Page : 128 pages
File Size : 42,5 Mb
Release : 2013-08-13
Category : Science
ISBN : 9783319004228

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Kinetic Simulations of Ion Transport in Fusion Devices by Andrés de Bustos Molina Pdf

This thesis deals with the problem of ion confinement in thermonuclear fusion devices. It is a topic of general interest, as it helps to understand via numerical simulations the ion confinement properties in complex geometries, in order to predict their behavior and maximize the performance of future fusion reactors. The main work carried out in this thesis is the improvement and exploitation of an existing simulation code called ISDEP. This code solves the so-called ion collisional transport in arbitrary plasma geometry, improving in this sense other existing codes. Additionally, it presents outstanding portability and scalability in distributed computing architectures, such as Grid or Volunteer Computing. The main physical results can be divided into two blocks. First, the study of 3D ion transport in ITER is presented. ITER is the largest fusion reactor (under construction) and most of the simulations so far assume the axis-symmetry of the device. Unfortunately, this symmetry is only an approximation because of the discrete number of magnetic coils used. ISDEP has shown, using a simple model of the 3D magnetic field, how the ion confinement is affected by this symmetry breaking. Secondly, ISDEP has been applied successfully to the study of fast ion dynamics in fusion plasmas. The fast ions, with energies much larger than the thermal energy, are a product of the device’s heating system. Thus, a numerical predictive tool can be used to improve the heating efficiency. ISDEP has been combined with the FAFNER2 code to study such ions in stellarator (TJ-II, LHD) and tokamak (ITER) geometries. It has also been validated by experimental results. In particular, comparisons with the CNPA diagnostic in the TJ-II stellarator are remarkable.