Minimum energy property of a bounded one- dimensional plasma.
Dynamics, stability and approach to equilibrium of bounded one dimensional collisionless plasma representing minimum energy states with nonlinear Vlasov equation solutions
Hohl, F.↗
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Kinetic model of Tonks-Dattner resonances in plasma columns.
Tonks-Dattner resonances in plasma column, using linearized Vlasov equation for coupling to plasma waves of time varying electric fields
Baldwin, D. E.↗
Normal mode representation of the high- frequency properties of an inhomogeneous plasma.
Normal mode representation of HF properties of inhomogeneous plasma, analyzing Vlasov equation for free oscillations under external driving field
Leavens, W. M.↗
Formulation of plasma wave echoes as an initial-value problem.
High order plasma wave echoes formulation and relation to initial perturbations based on Landau solution of initial value problem for Vlasov equation
Nishikawa, K.↗
Ordinary-mode electromagnetic instability in counterstreaming plasmas with anisotropic temperatures
Electromagnetic linearly polarized mode instability in counterstreaming plasmas with anisotropic temperatures using Vlasov equation
Bornatici, M.↗
Weak electron beams in inhomogeneous plasma
Inhomogeneous plasma containing weak electron beam using Vlasov equation, noting wave-wave coupling effect
Baker, J. C.↗
Numerical study of weakly unstable electron plasma oscillations
Unstable electron plasma initial value problem solved by numerically integrating Vlasov equation in one dimension
Armstrong, T. P.↗
Inhomogeneous plasma oscillations in streaming plasmas
Inhomogeneous plasma oscillations in counterstreaming plasmas analyzed for electric fields and resonant frequencies from Vlasov equation
Baker, J. C.↗
Nonlinear Vlasov plasmas - Initial value problem and response to an external field
Numerical solution of nonlinear Vlasov equation for collisionless plasma problems, discussing initial value problems, external electric fields, magnetic fields, etc
Montgomery, D.↗
A minimum energy principle in plasma physics and stellar dynamics
Vlasov equation approximate solution by minimum energy principle, deriving equilibrium equation for stellar gas
Feix, M.↗
Mathematical models of plasma
Nonlinear Vlasov equation treatment by Fourier- Hermite expansion techniques for plasma problems
Feix, M.↗
Long wavelength ion-acoustic waves in a magneto-plasma in a gravitational field
Ion acoustic wave propagation in collisionless gravity-supported plasma in static magnetic field calculated from linearized Vlasov equation
Liu, C. H.↗
Interaction of an obliquely incident p- polarized plane electromagnetic wave with a hot plasma half-space
Obliquely incident p-polarized plane electromagnetic wave interaction with hot plasma half space, using linearized relativistic Vlasov equation and Laplace transform technique
Bolduc, P. E.↗
Propagators in strong plasma turbulence.
Straightforward relationships between Weinstock's (1969) propagator, U sub A, the Vlasov propagator, U, and the ensemble average Vlasov propagator, U (in carets) are derived. It is shown that U and U (in carets) are related to the characteristic trajectories of the Vlasov equation, and that U (in carets) can be related to various statistical correlations of the turbulent fields.
Birmingham, T. J.↗
Stability of a steady, large amplitude whistler wave.
Study of the behavior of weak electrostatic waves in a collisionless magnetoplasma supporting a steady large amplitude whistler wave. All waves are assumed to propagate parallel to a uniform background magnetic field B sub zero. In the presence of the whistler wave fields each particle executes an oscillatory motion parallel to B sub zero, in addition to a translation along B sub zero and transverse motions. This oscillation causes the Landau resonance to be replaced by a series of new resonances between particles and the electrostatic modes. A distribution function for the perturbed plasma is constructed by solving the Vlasov equation, linearized in the electrostatic wave amplitudes. A dispersion relation is obtained and solved approximately for the growth/damping rate of the perturbations. Growing electrostatic modes are found to be approximately uncoupled. Trapped particles have a strong influence on the stability of the system.
Palmadesso, P. J.↗
Investigation of resonance integrals occurring in cosmic ray diffusion theory
The method for calculating the pitch angle diffusion coefficient is investigated for cosmic rays in a static random magnetic field, using the resonance integral method. The pitch angle diffusion coefficient may be derived from the Vlasov equation via ensemble averaging.
Jones, F. C.↗
Reformulation of quasi-linear theory.
Standard plasma quasi-linear theory is reformulated on the basis of a classical quantum derivation proceeding from the Vlasov equation and dealing only with frequency, wavenumber, and velocity. The wave amplitudes are assumed to be weakly time-dependent, and no distinction is made between growing and decaying waves. The proposed method leads to no negative diffusivity of 'fake' diffusion. By appropraite treatment of nonresonant interaction, expressions are obtained for wave energy and momentum.
Kaufman, A. N.↗
Inertial magnetic field reconnection and magnetospheric substorms.
We describe and calculate the growth rate of a magnetohydrodynamic neutral-sheet instability due to electron-inertia terms in the infinite-conductivity Ohm's law. The results are compared with an approximate Vlasov-equation calculation, and are shown to be particularly germane to the geomagnetic-tail instability.
Van Hoven, G.↗