Theory of Nonlinear Diffusion of Plasma Across a Magnetic Field. II. Application to Diffusion Studies in a Toroidal Multipole PDF Download
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Author: J. R. Drake Publisher: ISBN: Category : Languages : en Pages : 38
Book Description
The authors study a model for cross-field plasma diffusion which describes the observed density profile shape and decay in the Wisconsin levitated octupole in certain regimes. The boundary conditions of the model are zero density at the two plasma edges. The authors have shown that the observed profile, which is peaked off the separatrix and retains a constant shape as the profile decays, has the spatial and temporal dependences of the separable solution to the diffusion equation. Furthermore, according to a stability analysis of the model, perturbations decay at least four times as fast as the final stable profile; thus, the observed rapid evolution toward a stable shape is explained. The authors conclude that the model is useful for determining diffusion coefficient magnitude and scaling with density once the density profiles are known.
Author: J. R. Drake Publisher: ISBN: Category : Languages : en Pages : 38
Book Description
The authors study a model for cross-field plasma diffusion which describes the observed density profile shape and decay in the Wisconsin levitated octupole in certain regimes. The boundary conditions of the model are zero density at the two plasma edges. The authors have shown that the observed profile, which is peaked off the separatrix and retains a constant shape as the profile decays, has the spatial and temporal dependences of the separable solution to the diffusion equation. Furthermore, according to a stability analysis of the model, perturbations decay at least four times as fast as the final stable profile; thus, the observed rapid evolution toward a stable shape is explained. The authors conclude that the model is useful for determining diffusion coefficient magnitude and scaling with density once the density profiles are known.
Author: James G. Berryman Publisher: ISBN: Category : Languages : en Pages : 44
Book Description
The mathematical theory of a class of equations arising in studies of cross-field diffusion in toroidal multipole plasmas is presented. This class of quasilinear parabolic equations has a separable solution (the 'normal mode') which decays in time. It is shown that the normal mode is stable against infinitesimal perturbations; all small perturbations decay more rapidly than the normal mode. Numerical experiments show that large perturbations also decay more rapidly than the normal mode. It is demonstrated analytically that large perturbations decay exponentially whereas small perturbations decay as the fourth power (or higher) of the normal mode time dependence. Thus, the normal mode will rapidly evolve out of an initial distribution of particles, in agreement with the experiments. The asymptotic behavior of the system can be predicted approximately from knowledge of the initial particle distribution. The class of equations studied is also of interest in a variety of other physical, chemical, and engineering problems.
Author: Publisher: ISBN: Category : Power resources Languages : en Pages : 806
Book Description
Semiannual, with semiannual and annual indexes. References to all scientific and technical literature coming from DOE, its laboratories, energy centers, and contractors. Includes all works deriving from DOE, other related government-sponsored information, and foreign nonnuclear information. Arranged under 39 categories, e.g., Biomedical sciences, basic studies; Biomedical sciences, applied studies; Health and safety; and Fusion energy. Entry gives bibliographical information and abstract. Corporate, author, subject, report number indexes.
Author: J. R. Drake
Author: J. R. Drake
Author: J. R. Drake
Author: James G. Berryman
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Author: United States. Army. Mathematics Research Center
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