Numerical study of weakly unstable electron plasma oscillations
Unstable electron plasma initial value problem solved by numerically integrating Vlasov equation in one dimension
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Unstable electron plasma initial value problem solved by numerically integrating Vlasov equation in one dimension
Vlasov equation for solving initial value problem for unstable electron plasma
Time histories of Mev proton and alpha particle intensities during and after July 7, 1966 solar flare, noting abundance ratio and geophysical effects
Protons emitted by July 7, 1966 solar flare observed by low altitude high latitude Injun 4 satellite
Protons in magnetosphere and magnetotail observed with silicon detector on Explorer 33
Intrinsic magnetic dipole moment of Venus based on absence of radiation belt electrons
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Injun satellite observations of solar particles inside magnetosphere
Low energy protons emitted by solar flare satellite observed inside and outside of magnetosphere, noting immediate access to polar caps
Collisionless electron plasma dynamics in one dimension, investigating nonlinear Vlasov equation for Landau damping and instability
Simultaneous observations of solar protons inside and outside magnetosphere by Explorer XXXIII AND Injun IV
Low energy proton measurements in magnetosphere using Mariner IV spacecraft
The subject of this dissertation is the numerical integration of the initial-value problem for the non-linear Vlasov equation. The Vlasov equation is used to describe the dynamics of a "collisionless", one-dimensional, classical electron gas confined between two perfectly reflecting boundaries. Only the long-range Coulomb interactions of the electrons are considered; effects associated with the discrete structure are neglected. The numerical results obtained for non-linear Landau damping compare well with similar results obtained by Knorr. A general statement of the results on stable initial conditions is: As the degree of non-linearity of the initial conditions is increased, the deviation from linear Landau damping appears sooner and is more severe. In some cases damping was observed to cease. Curves showing the time dependence of the damping decrement are derived and compared with predictions of non-linear theories. New results obtained in this study include the observation that for strongly non-linear cases, the damping of the electric field causes an initially Maxwellian fo (v, O) to develop a peak in the neighborhood of the phase velocity; strong growth of the second harmonic is seen after fo (v, t) develops such a peak. Also new in this study is the interpretation of the development of a certain class of strongly unstable initial conditions as approaching an inhomogeneous equilibrium.
Mariner IV low energy proton measurements of magnetosphere