Engineering topics
Publications and source records attributed to Montgomery, D..
The Kubo formula is used to evaluate the bulk electrical conductivity of a two-dimensional guiding-center plasma in a strong dc magnetic field. The particles interact only electrostatically. An ?anomalous' electrical conductivity is derived for this system, which parallels a recent result of Taylor and McNamara for the coefficient of spatial diffusion.
Several features of the equilibrium and nonequilibrium statistical mechanics of a two-dimensional plasma in a uniform dc magnetic field are investigated. The charges are assumed to interact only through electrostatic potentials. The problem is considered both with and without the guiding-center approximation. With the guiding-center approximation, an appropriate Liouville equation and BBGKY hierarchy predict no approach to thermal equilibrium for the spatially uniform case. For the spatially nonuniform situation, a guiding-center Vlasov equation is discussed and solved in special cases. For the nonequilibrium, nonguiding-center case, a Boltzmann equation, and a Fokker-Planck equation are derived in the appropriate limits. The latter is more tractable than the former, and can be shown to obey conservation laws and an H-theorem, but contains a divergent integral which must be cut off on physical grounds. Several unsolved problems are posed.
Two apparently disparate lines of inquiry in kinetic theory are shown to be equivalent: (1) Brownian motion as treated by the (stochastic) Langevin equation and Fokker-Planck equation; and (2) Boltzmann's equation. The method is to derive the kinetic equation for Brownian motion from the Boltzmann equation for a two-component neutral gas by a simultaneous expansion in the density and mass ratios.
Performance of Mariner Mars 1969 mission by flight and Earth-based elements during launch and space flight phases - Vol. 2
Unstable electron plasma oscillations quasi-linear theory, discussing improper treatment of perturbed electron distribution for damped waves leading to negative diffusion coefficient
Quasi-linear equations consequences in discrete spectra and damped electron plasma waves, discussing conservation laws relation to resonance approximation
Normal wave propagation modes existence in magnetized plasma, deriving criteria for electrostatic approximation validity
Thermal relaxation rate in one and two dimensional electron plasma models with positive background, using particle in cell simulation
Fourier and Hermite transform methods for Vlasov equation solutions in plasma physics
Discrete spectra and damped waves in quasilinear theory
Existence criteria for normal modes in magnetized plasma related to electrostatic approximation
Unstable electron plasma initial value problem solved by numerically integrating Vlasov equation in one dimension
Fluctuation spectra of monatomic gases, using two time probability distributions for distribution function autocorrelations
Vlasov equation for solving initial value problem for unstable electron plasma
Shock-like solutions of electrostatic Vlasov and Poisson equations, assuming zero temperature of positive ions and increasing electrostatic potential
Numerical solution of nonlinear Vlasov equation for collisionless plasma problems, discussing initial value problems, external electric fields, magnetic fields, etc
Acceleration of charged particles in strong DC magnetic field by electrostatic waves with spatially varying phase velocities integrated numerically on IBM 360/65
Numerical integration of motion equations of electrons subject to electrostatic waves, considering turbulent heating