Reviews of Geophysics · 1979 · 207 citations · 72 references
Natural SciencesEarth SciencesPhysicsAtmospheric DynamicsAtmospheric SciencePlasma PhysicsBoltzmann Transport EquationCollisions In PlasmasIonospheric ElectrodynamicsPlasma Kinetic TheoryPlasma TransportSpace PlasmasF Region ElectrodynamicsIon-ion CollisionsIonospheric ConductivityIonospheric Plasma Dynamics
The theory and observations relating to ion velocity distributions in the high‐latitude F region are reviewed. The review covers three basic aspects, including methods for calculating ion velocity distributions, experimental evidence for the existence of non‐Maxwellian ion velocity distributions, and the ionospheric consequences of non‐Maxwellian distributions. Specific topics covered include closed form solutions to Boltzmann's equation for a simple collision model, series solutions to the Boltzmann equation for more general collision models, retarding potential analyzer measurements, excitation of VLF electrostatic emissions, ion‐neutral reaction rates, and transport effects.
72
The mathematical theory of non-uniform gases
Journal of the Franklin Institute · 1953 · 7.7K citations
The mathematical theory of non-uniform gases
K. G. Budden · Journal of Atmospheric and Terrestrial Physics · 1971 · 3.6K citations
On the kinetic theory of rarefied gases
Harold Grad · Communications on Pure and Applied Mathematics · 1949 · 2.7K citations
Advanced Calculus for Applications
D E R Godfrey · Physics Bulletin · 1963 · 1.2K citations