High-n Ideal and Resistive Shear Alfven Waves in Tokamaks PDF Download
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Author: Publisher: ISBN: Category : Languages : en Pages :
Book Description
Ideal and resistive MHD equations for the shear Alfven waves are studied in a low-.beta. toroidal model by employing the high-n ballooning formalism. The ion sound effects are neglected. For an infinite shear slab, the ideal MHD model gives rise to a continuous spectrum of real frequencies and discrete eigenmodes (Alfven-Landau modes) with complex frequencies. With toroidal coupling effects due to nonuniform toroidal magnetic field, the continuum is broken up into small continuum bands and new discrete toroidal eigenmodes can exist inside the continuum gaps. Unstable ballooning eigenmodes are also introduced by the bad curvature when .beta.> .beta./sub c/. The resistivity (n) can be considered perturbatively for the ideal modes. In addition, four branches of resistive modes are induced by the resistivity: (1) Resistive entropy modes which are stable (.delta.' 0) with frequencies approaching zero as n35, (3) Resistive periodic shear Alfven waves which approach the finite frequency end points of the continuum bands and n12, and (4) Resistive ballooning modes which are purely growing with growth rate proportional to eta13.beta.23 as eta .--. O and .beta. .-->. O.
Author: Publisher: ISBN: Category : Languages : en Pages :
Book Description
Ideal and resistive MHD equations for the shear Alfven waves are studied in a low-.beta. toroidal model by employing the high-n ballooning formalism. The ion sound effects are neglected. For an infinite shear slab, the ideal MHD model gives rise to a continuous spectrum of real frequencies and discrete eigenmodes (Alfven-Landau modes) with complex frequencies. With toroidal coupling effects due to nonuniform toroidal magnetic field, the continuum is broken up into small continuum bands and new discrete toroidal eigenmodes can exist inside the continuum gaps. Unstable ballooning eigenmodes are also introduced by the bad curvature when .beta.> .beta./sub c/. The resistivity (n) can be considered perturbatively for the ideal modes. In addition, four branches of resistive modes are induced by the resistivity: (1) Resistive entropy modes which are stable (.delta.' 0) with frequencies approaching zero as n35, (3) Resistive periodic shear Alfven waves which approach the finite frequency end points of the continuum bands and n12, and (4) Resistive ballooning modes which are purely growing with growth rate proportional to eta13.beta.23 as eta .--. O and .beta. .-->. O.
Author: John Wesson Publisher: Oxford University Press ISBN: 0199592233 Category : Science Languages : en Pages : 828
Book Description
The tokamak 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. The fourth edition has been completely revised, describing their development of tokamaks to the point of producing significant fusion power.
Author: Neil F. Cramer Publisher: John Wiley & Sons ISBN: 3527635025 Category : Science Languages : en Pages : 312
Book Description
Low-frequency wave modes of magnetized inhomogeneous plasmas have been subject to intense study in the last decade because they play important roles in the transport of energy in the plasmas. The "Alfvén wave heating" scheme has been investigated as a supplementary heating scheme for fusion plasma devices, and it has been invoked as a model of the heating of the solar and stellar coronae. This book covers the latest research into the properties and applications of low-frequency wave modes in magnetized plasmas, the Alfvén waves and magneto-acoustic waves, in the context of laboratory, space and astrophysical plasmas. In particular, non-ideal effects on the dispersion relation and absorption properties of linear and non-linear waves are included, such as ion-cyclotron effects, friction between the ionized plasma and a background gas of neutral atoms, and the interaction of the plasma with dust particles. The book also surveys the theory of Alfvén and magnetoacoustic waves in inhomogeneous plasmas, as occur in realistic laboratory, space and astrophysical plasmas, with resulting localized wave modes such as surface waves. Waves are considered under a variety of plasma conditions, ranging from cold cosmic plasmas, to hot laboratory and solar plasmas, to the relativistic plasmas around pulsars.
Author: Linjin Zheng Publisher: Morgan & Claypool Publishers ISBN: 1627054235 Category : Science Languages : en Pages : 156
Book Description
This book describes the advanced stability theories for magnetically confined fusion plasmas, especially in tokamaks. As the fusion plasma sciences advance, the gap between the textbooks and cutting-edge researches gradually develops. This book fills in
Author: Linjin Zheng Publisher: BoD – Books on Demand ISBN: 9535102117 Category : Science Languages : en Pages : 224
Book Description
To understand plasma physics intuitively one need to master the MHD behaviors. As sciences advance, gap between published textbooks and cutting-edge researches gradually develops. Connection from textbook knowledge to up-to-dated research results can often be tough. Review articles can help. This book contains eight topical review papers on MHD. For magnetically confined fusion one can find toroidal MHD theory for tokamaks, magnetic relaxation process in spheromaks, and the formation and stability of field-reversed configuration. In space plasma physics one can get solar spicules and X-ray jets physics, as well as general sub-fluid theory. For numerical methods one can find the implicit numerical methods for resistive MHD and the boundary control formalism. For low temperature plasma physics one can read theory for Newtonian and non-Newtonian fluids etc.
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Author: C. Z. Cheng
Author: John Wesson
Author: Neil F. Cramer
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Author: Linjin Zheng
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Author: Asit Saha
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Author: Linjin Zheng