scholarly journals Neoclassical transport theory of a multispecies plasma in the low collision frequency regime

1975 ◽  
Author(s):  
S. P. Hirshman ◽  
D. J. Sigmar ◽  
J. F. Clarke
Keyword(s):  
Transport Theory ◽  
Collision Frequency ◽  
Neoclassical Transport ◽  
Frequency Regime

scholarly journals Neoclassical transport theory of a multispecies plasma in the low collision frequency regime

1976 ◽  
Vol 19 (5) ◽  
pp. 656 ◽  
Author(s):  
S. P. Hirshman ◽  
D. J. Sigmar ◽  
J. F. Clarke
Keyword(s):  
Transport Theory ◽  
Collision Frequency ◽  
Neoclassical Transport ◽  
Frequency Regime

Finding the Minimun of the Quadratic Functional in Variational Approach in Transport Theory Problems

2008 ◽  
Author(s):  
Rube´n Panta Pazos
Keyword(s):  
Variational Approach ◽  
Source Function ◽  
Transport Theory ◽  
Collision Frequency ◽  
Quadratic Functional ◽  
Compact Set ◽  
Scattering Kernel ◽  
High Level ◽  
Transport Problems ◽  
Spherical Harmonic Method

In this work it is reviewed the variational approach for some Transport Problems. Let X be a convex domain in Rn, and V a compact set. For that, it is considered the following equation: ∂ψ∂t(x,v,t)+v·∇ψ(x,v,t)+h(x,μ)ψ(x,v,t)==∫Vk(x,v,v′)ψ(x,v′,t)dv′+q(x,v,t)(1) where x represents the spatial variable in a domain D, v an element of a compact set V, Ψ is the angular flux, h(x,v) the collision frequency, k(x,v,v’) the scattering kernel function and q(x,v) the source function. It is put the attention in the construction of the quadratic functional J which appears in variational approaches for transport theory (for example, the Vladimirov functional). Some properties of this functional in a proper functional framework, in order to determine the minimum for J are considered. First, the general formulation is studied. Then an algorithm is given for minimizing the functional J for two remarkable problems: spherical harmonic method and spectral collocation method. A program associated to this algorithm is worked in a computer algebraic system, and also was depeloped a version in a high level language.

scholarly journals NEOCLASSICAL TRANSPORT THEORY OF A MULTICOMPONENT PLASMA

1984 ◽  
Vol 33 (3) ◽  
pp. 309
Author(s):  
ZHOU HAI-LIN
Keyword(s):  
Transport Theory ◽  
Multicomponent Plasma ◽  
Neoclassical Transport

scholarly journals Moment equation approach to neoclassical transport theory

1977 ◽  
Author(s):  
S.P. Hirshman
Keyword(s):  
Transport Theory ◽  
Moment Equation ◽  
Equation Approach ◽  
Neoclassical Transport

scholarly journals Two-dimensional transport of tokamak plasmas. [Neoclassical transport theory]

1978 ◽  
Author(s):  
S.P. Hirshman ◽  
S.C. Jardin
Keyword(s):  
Transport Theory ◽  
Tokamak Plasmas ◽  
Two Dimensional ◽  
Neoclassical Transport

Collisional destruction of the Bernstein modes in the high-frequency regime

1976 ◽  
Vol 15 (1) ◽  
pp. 41-48 ◽  
Author(s):  
W. Allan ◽  
J. J. Sanderson
Keyword(s):  
Dispersion Relation ◽  
High Frequency ◽  
Collision Frequency ◽  
Acoustic Mode ◽  
Mode Dispersion ◽  
Ion Acoustic ◽  
Frequency Regime

The paper investigates the effect, on the Bernstein-mode dispersion relation, of a small collision frequency v, such that , for the high-frequency regime. It is shown that the ion-acoustic mode dominates the Bernstein modes in this regime for homogeneous plasmas; and it is suggested that this also holds for inhomogeneous plasmas.

scholarly journals Lagrangian formulation of neoclassical transport theory

1983 ◽  
Vol 26 (6) ◽  
pp. 1488 ◽  
Author(s):  
Ira B. Bernstein
Keyword(s):  
Transport Theory ◽  
Lagrangian Formulation ◽  
Neoclassical Transport
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