topology of tokamak orbits

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Dept. of Energy, [Office of Energy Technology], Oak Ridge National Laboratory, for sale by the National Technical Information Service , Oak Ridge, Tenn, Springfield, Va
Tokamaks., Or
StatementJames A. Rome, Y.-K. M. Peng ; prepared by the Oak Ridge National Laboratory.
SeriesORNL/TM ; 6352, ORNL/TM -- 6352.
ContributionsPeng, Y-K. M., Oak Ridge National Laboratory.
The Physical Object
Paginationv, 36 p. :
ID Numbers
Open LibraryOL17648836M

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Phase-space topology of energetic particles in tokamak plasma with arbitrary shape of cross section is studied based upon the guiding center theory.

Important phase-space boundaries such as prompt loss boundary, trapped passing boundary, and other boundaries between classes of nonstandard orbits (e.g., pinch and stagnation orbits) are studied. The topology of all contained tokamak guiding center orbits is displayed in a three-dimensional constants-of-motion space.

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The treatment is perfectly Author: J. Rome, Y. Peng. THE TOPOLOGY OF TOKAMAK ORBIT* S JAMES A. ROME, Y-K.M. PENG Oak Ridge National Laboratory, Oak Ridge, Tennessee, United States of America ABSTRACT. Guiding-centre orbits in non-circular axisymmetric tokamak plasmas are studied in the constants of motion (COM) space of (v,f i//m).

Here, v is the particle speed, f is the pitch angle with respect. Guiding-centre orbits in non-circular axisymmetric tokamak plasmas are studied in the constants of motion (COM) space of (v, ζ, ψ m. Here, v is the particle speed, ζ is the pitch angle with respect to the parallel equilibrium current, J ||, at the point in the orbit where ψ = ψ m, and ψ m is the maximum value of the poloidal flux function (increasing from the magnetic axis) along Cited by: Rome and Y-K.

Peng, "The Topology of Tokamak Orbits," ORNL/TM (to be published). eature of this surface is the line which marks the transition form 0-type to X-type stagnation orbits. The X-type orbits may scatter into fat banana (pinch) orbits (Fig. 3; to be discussed below) which hit the wall, and so part of the X-type locus constitutes a "loss region" (denoted Cited by: The topology of drift orbits in a tokamak is analyzed in the entire cross section of the device both near the magnetic axis and at the periphery of the plasma column.

The topology of banana guiding center orbits of fast ions in tokamaks with toroidal field (TF) ripples is considered. Analytical expressions determining the stagnation orbits and boundaries of regions with the closed orbits in the phase space are derived. Alpha particle losses from toroidicity induced Alfven eigenmodes: Part I: Phase-space topology of energetic orbits in tokamak plasma Author(s) Hsu, C.T.

; Sigmar, D.J. Topology of superbanana orbits in tokamaks with tf ripples.

Description topology of tokamak orbits EPUB

-IAEA-P23, Book of Abstracts, p The topology of banana orbits in phase space. The topology of all contained tokamak guiding center orbits is displayed in a three-dimensional constants-of-motion space. The treatment is perfectly.

A tokamak (Russian: Токамáк) is a device which uses a powerful magnetic field to confine a hot plasma in the shape of a tokamak is one of several types of magnetic confinement devices being developed to produce controlled thermonuclear fusion ofit is the leading candidate for a practical fusion reactor.

Tokamaks were initially conceptualized in the. Hamiltonian description of the topology of drift orbits of relativistic particles in a tokamak. Using classical perturbation theory, a Hamiltonian description of the guiding center motion of relativistic electrons in a torus with an axially symmetric magnetic field is derived.

The magnetic field itself generates concentric circular flux surfaces. Tokamak on *FREE* shipping on qualifying offers. TokamakFormat: Paperback. The methods, suitable for routine analysis, can also be applied to evaluate the orbit topology in advanced tokamak scenarios where the presence of special orbit types (co-pinch orbits) causes first orbit loss of fusion products.

The Topology of Tokamak Orbits Fokker-Planck/Transport Analyses of Fusion Plasmas in Contemporary Beam-Driven Tokamaks Evolution of Neutral-Beam-Driven Current in Tokamak Plasmas Fusion-Neutron Production in Deuterium-Beam-Heated Plasmas in the Princeton Large Tokamak Behavior of Fast Ions in a Large Tokamak Plasma during NBI HeatingBook Edition: 1.

The Topology of Fibre Bundles. (PMS), Volume 14 Norman Steenrod. Fibre bundles, now an integral part of differential geometry, are also of great importance in modern physics--such as in gauge theory.

This book, a succinct introduction to the subject by renown mathematician Norman Steenrod, was the. Isobe M. et al., Orbit Topology and Confinement of Energetic Ions in the CHS-qa Quasi-Axisymmetric Stellarator 3 are well confined, as expected. Although the beam ion orbits deviate substantially from the magnetic flux surfaces at B t of T as seen in Figs.

2c and 2d, beam ions remain inside the. The topology of drift orbits in a tokamak is analyzed in the entire cross section of the device both near the magnetic axis and at the periphery of the plasma column.

The use of invariants of the drift equations (the generalized momentum, magnetic moment, and total energy) as variables for the entire cross section Cited by: 4. Magnetic topology and guiding center drift orbits in a reversed shear tokamakCited by: 7. Using classical perturbation theory, a Hamiltonian description of the guiding center motion of relativistic electrons in a torus with an axially symmetric magnetic field is derived.

The magnetic field itself generates concentric circular flux surfaces. This description enables us to assess the behavior of the drift orbits such that previously unknown details follow almost naturally due to Cited by: 9.

The magnetic topology and particle drift orbits are analysed in a monotonic q profile and in a reversed shear TEXTOR equilibrium that is subject to a magnetic perturbation driven by the Dynamic Ergodic Divertor (DED).

The main results prove that there exists a transport barrier for magnetic field lines and for circulating particles in the reversed shear case when the DED is Cited by: 7. The tokamak (a doughnut-shaped vacuum chamber surrounded by magnetic coils) is the principal tool in controlled fusion research.

This book acts as an introduction to the subject and a basic reference for theory, definitions, equations, and experimental results. Since the first introductory account of tokamaks inwhen the tokamak had become the 5/5(1). Phase‐space topology of energetic particles in tokamak plasma with arbitrary shape of cross section is studied based upon the guiding center theory.

Important phase‐space boundaries such as prompt loss boundary, trapped passing boundary, and other boundaries between classes of nonstandard orbits (e.g., pinch and stagnation orbits) are studied.

3) Tokamak Solutions UK Ltd, Culham Science Centre, Abingdon, OX14 3DB, UK e-mail contact of main author: [email protected] Abstract. The paper describes a concept of a compact tokamak fusion neutron source based on a small spherical tokamak (FNS-ST) with MW-range of the DT-fusion power and considers key physics issues of this device.

Magnetic fields and tokamak plasmas Alan Wootton 6 o J. Wesson, in Tokamaks, Oxford Science Publications, Clarendon press, Oxford, o P. Shkarofsky, Evaluation of multipole moments over the current density in a tokamak with magnetic probes, Phys.

Fluids 25 () File Size: 1MB. Magnetic topology and guiding center drift orbits in a reversed shear tokamak By O. Fischer, W.A. Cooper and L. Villard Topics: LRP Author: O. Fischer, W.A. Cooper and L. Villard.

This textbook provides an introduction to the ideas and techniques of differential geometry and topology. It starts with a brief survey of the physics needed to follow the arguments - including quantum field theory, gauge theory and general relativity - to make sure all readers set off from the same starting point/5.

( views) Plasma Physics by Richard Fitzpatrick - The University of Texas at Austin, Introduction to Plasma Physics by Richard Fitzpatrick is a complete set of lecture notes for a graduate level introductory plasma physics course.

Topics covered include particle orbits, fluid theory, waves, MHD theory, and kinetic theory. ( views). How to Read this Book Notation and Conventions 1 Quantum Physics Analytical mechanics Newtonian mechanics Lagrangian formalism Hamiltonian formalism Canonical quantization Hilbert space, bras and kets Axioms of canonical quantization Heisenbergequation,HeisenbergpictureandSchr¨odinger picture.

Finite Orbit Analysis of Energetic Particles In Tokamak Plasmas: Authors: Chiu, S. C.; Chan, V. S. the orbits of particles are analysed without the assumption that the orbit width is small, by using the adiabatic constants of motion.

Special interest is placed on the discontinuity of the orbit topology near the trapped-passing boundary.Title: Hamiltonian description of the topology of drift orbits of relativistic particles in a tokamak: Published in: Physics of Plasmas, 3, - Cited by: 9.Tokamak machines Topology and ignition.

Some early tokamaks. Toroidal current. Basic tokamak variables Aspect ratio. Beta. Safety factor. Z‐effective.

Global confinement times Energy confinement time. Electron‐energy confinement time. Particle confinement time. Momentum confinement time.