Diffusion with varying drag: The runaway problem. II
Journal Article
·
· Phys. Fluids; (United States)
Diffusion driven by a constant field, and opposed by a velocity-dependent diffusion coefficient that decreases to zero at large velocity, leads to the phenomenon of ''runaway.'' It is studied here in the case of a one-dimensional velocity space, when the Fokker--Planck equation is equivalent to an interesting Schroedinger equation. The runaway current is extracted from the smallest eigenvalue, after the equation has been solved by the method of matched asymptotic expansions. There is discussion of connections between our approach, the conventional approach, and the classical two-dimensional results.
- Research Organization:
- Division of Engineering and Applied Physics, California Institute of Technology, Pasadena, California 91125
- OSTI ID:
- 6723828
- Journal Information:
- Phys. Fluids; (United States), Journal Name: Phys. Fluids; (United States) Vol. 30:2; ISSN PFLDA
- Country of Publication:
- United States
- Language:
- English
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Related Subjects
70 PLASMA PHYSICS AND FUSION TECHNOLOGY
700103* -- Fusion Energy-- Plasma Research-- Kinetics
ASYMPTOTIC SOLUTIONS
COLLISIONAL PLASMA
COLLISIONS
CORRELATIONS
DIFFERENTIAL EQUATIONS
DIFFUSION
DRAG
EIGENVALUES
ELECTRIC FIELDS
ELECTRON COLLISIONS
ELECTRON-ELECTRON COLLISIONS
ELECTRON-ION COLLISIONS
ELECTRONS
ELEMENTARY PARTICLES
EQUATIONS
FERMIONS
FOKKER-PLANCK EQUATION
ION COLLISIONS
LEPTONS
ONE-DIMENSIONAL CALCULATIONS
PARTIAL DIFFERENTIAL EQUATIONS
PLASMA
RUNAWAY ELECTRONS
SCHROEDINGER EQUATION
SERIES EXPANSION
TENSORS
TIME DEPENDENCE
VELOCITY
WAVE EQUATIONS
700103* -- Fusion Energy-- Plasma Research-- Kinetics
ASYMPTOTIC SOLUTIONS
COLLISIONAL PLASMA
COLLISIONS
CORRELATIONS
DIFFERENTIAL EQUATIONS
DIFFUSION
DRAG
EIGENVALUES
ELECTRIC FIELDS
ELECTRON COLLISIONS
ELECTRON-ELECTRON COLLISIONS
ELECTRON-ION COLLISIONS
ELECTRONS
ELEMENTARY PARTICLES
EQUATIONS
FERMIONS
FOKKER-PLANCK EQUATION
ION COLLISIONS
LEPTONS
ONE-DIMENSIONAL CALCULATIONS
PARTIAL DIFFERENTIAL EQUATIONS
PLASMA
RUNAWAY ELECTRONS
SCHROEDINGER EQUATION
SERIES EXPANSION
TENSORS
TIME DEPENDENCE
VELOCITY
WAVE EQUATIONS