Adiabatic plasma rotations in orthogonal coordinate systems
نویسندگان
چکیده
منابع مشابه
Adiabatic Plasma Rotations in Orthogonal Coordinate Systems
Azimuthal rotation in Tokamaks and other fusion machines is observed, for example, when the con ned plasma is subjected to neutral beam heating. The impacts of the beam particles with plasma electrons and ions amounts to a net momentum transfer with causes rotation in the toroidal direction [1, 2]. Plasma rotation with high Mach numbers have been observed in almost all operating regimes of Toka...
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متن کاملSupplemental material for: Efficient coordinate-descent for orthogonal matrices through Givens rotations
Definition 1. Riemannian gradient The Riemannian gradient ∇f(U) of f at point U ∈ Od is the matrix UΩ, where Ω ∈ Skew(d), Ωji = −Ωij = ∇ijf(U), 1 ≤ i < j ≤ d is the directional derivative as defined in Eq. 1 of the main text, and Ωii = 0. The norm of the Riemannian gradient ||∇f(U)|| = Tr(∇f(U)∇f(U) ) = ||Ω||fro. Definition 2. A point U∗ ∈ Od is asymptotically stable with respect to Algorithm 1...
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ژورنال
عنوان ژورنال: Brazilian Journal of Physics
سال: 2001
ISSN: 0103-9733
DOI: 10.1590/s0103-97332001000100011