Author: J. R. DrakePublisher:
ISBN:
Category :
Languages : en
Pages : 34
Book Description
Theory of Nonlinear Diffusion of Plasma Across a Magnetic Field, 2 ; Application to Diffusion Studies in a Toroidal Multipole
Author: J. R. DrakeTheory of Nonlinear Diffusion of Plasma Across a Magnetic Field. II. Application to Diffusion Studies in a Toroidal Multipole
Author: J. R. DrakePublisher:
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.
Theory of Nonlinear Diffusion of Plasma Across a Magnetic Field. I. Solution of a Class of Quasilinear Parabolic Equations
Author: James G. BerrymanPublisher:
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.
Scientific and Technical Aerospace Reports
Author: Plasma Physics Index
Author: Publisher:
ISBN:
Category : Plasma (Ionized gases)
Languages : en
Pages : 936
Book Description
Nuclear Science Abstracts
Author: Fusion Energy Update
Author: Government reports annual index
Author: Government Reports Annual Index: Keyword A-L
Author: Publisher:
ISBN:
Category : Government reports announcements & index
Languages : en
Pages : 1216
Book Description
ERDA Energy Research Abstracts
Author: United States. Energy Research and Development AdministrationPublisher:
ISBN:
Category : Medicine
Languages : en
Pages : 776
Book Description