Scholarly Works, Center for Transport Theory and Mathematical Physics

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  • Collided-flux-expansion method for the transport of muonic deuterium in finite media
    Rondoni, Lamberto; Zweifel, Paul F. (American Physical Society, 1991-07)
    Transport of muonic deuterium atoms in a slab of thickness d filled with a molecular deuterium gas is described by means of the multiple-collision expansion in the framework of a time-dependent theory. The relevant expressions for the emerging flux are derived. Numerically generated results are presented for several different cases, some of which are under experimental investigation. A justification of the approximations made in a previous work is given.
  • Diffusion of muonic atoms
    Rusjan, Edmond; Zweifel, Paul F. (American Physical Society, 1988-10)
    Transport of muonic hydrogen and deuterium atoms in gaseous hydrogen and deuterium is studied in the diffusion approximation and by means of the multiple-collision expansion. The diffusion coefficient is derived. Numerical results of the time-dependent problem in slab geometry are presented for a number of initial energies, temperatures, and pressures.
  • Scattering kernels for the muon diffusion equation
    Rusjan, Edmond; Zweifel, Paul F. (American Physical Society, 1988-08)
    Diffusion of muonic hydrogen atoms in gaseous hydrogen is studied. Scattering kernels are derived from the kinematics of an inelastic binary collision. The effect of rotations of the hydrogen molecules is treated by defining and computing an effective inelastic energy transfer Qeff. The Doppler effect is taken into account by averaging the cross sections over the Maxwellian velocity distribution of the target molecules.
  • Couette flow of a binary gas mixture
    Valougeorgis, D. (AIP Publishing, 1988-03)
    The linearized binary model described by Hamel [Phys. Fluids 8, 418 (1964)] is used to obtain a set of kinetic equations and boundary conditions for the Couette flow problem. The derived set of two coupled integrodifferential equations is solved by iteration implementing standard discretization techniques. Highly accurate numerical results are presented for the mass velocity distribution and the total shear stress of the binary gas system.