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  • 1
    Publication Date: 2011-08-16
    Description: An analytical theory of nonlinear neutralization waves generated by injection of electrons from a grid in the direction of a homogeneous ion beam of uniform velocity and infinite extension is presented. The electrons are assumed to interact with the ions through the self-consistent space charge field and by strong collective interactions, while diffusion in the pressure gradient is disregarded (zero-temperature approximation). The associated nonlinear boundary-value problem is solved in closed form by means of a von Mises transformation. It is shown that the electron gas moves into the ion space in the form of a discontinuous neutralization wave, which exhibits a periodic field structure (incomplete neutralization). This periodic wave structure is damped out by intercomponent momentum transfer - i.e., after a few relaxation lengths a quasi-neutral plasma results.
    Keywords: ATOMIC AND MOLECULAR PHYSICS
    Type: Physics of Fluids; 17; Oct. 197
    Format: text
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  • 2
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    In:  Other Sources
    Publication Date: 2019-07-13
    Description: Surface sputtering is explained theoretically by means of a 3-body sputtering mechanism involving the ion and two surface atoms of the solid. By means of quantum-statistical mechanics, a formula for the sputtering ratio S(E) is derived from first principles. The theoretical sputtering rate S(E) was found experimentally to be proportional to the square of the difference between incident ion energy and the threshold energy for sputtering of surface atoms at low ion energies. Extrapolation of the theoretical sputtering formula to larger ion energies indicates that S(E) reaches a saturation value and finally decreases at high ion energies. The theoretical sputtering ratios S(E) for wolfram, tantalum, and molybdenum are compared with the corresponding experimental sputtering curves in the low energy region from threshold sputtering energy to 120 eV above the respective threshold energy. Theory and experiment are shown to be in good agreement.
    Keywords: ATOMIC AND MOLECULAR PHYSICS
    Type: AIAA PAPER 75-401 , American Institute of Aeronautics and Astronautics, Electric Propulsion Conference; Mar 19, 1975 - Mar 21, 1975; New Orleans, LA
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  • 3
    ISSN: 0031-9422
    Keywords: Araliorhamnus ; Rhamnaceae ; Scutia ; Ziziphus ; aralionine-C. ; bark extracts ; hysodricanine-A ; mauritine-G ; peptide alkaloids ; scutianine-C
    Source: Elsevier Journal Backfiles on ScienceDirect 1907 - 2002
    Topics: Biology , Chemistry and Pharmacology
    Type of Medium: Electronic Resource
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  • 4
    Electronic Resource
    Electronic Resource
    Springer
    Applied physics 31 (1983), S. 173-177 
    ISSN: 1432-0649
    Keywords: 03.50 ; 41
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract Based on the (relativistic) Maxwell equations with displacement current ∂εE/∂t, the initial-boundary-value problem for the compression of an initially homogeneous magnetic fieldB={0,B(x,t),0} between a fixed liner atx=0 and a detonation-driven liner atx=s(t) is solved analytically. By homogenizing the boundary conditions at the moving boundary, the transient electromagnetic fields are shown to be a superposition of “quasistatic” elliptic (∂εE/∂t=0) and hyperbolic (∂εE/∂t≠0) “wave” solutions. The wave equation is solved by a Fourier expansion in time-dependent eigenfunctionsf n =f n [nπx/s(t)] for the variable region 0≦x≦s(t), where the Fourier amplitudesψ n (t) are determined by coupled differential equations of second order. It is concluded that the conventional elliptic flux compression theories (∂εE/∂t=0) hold approximately for nonrelativistic liner speeds $$|\dot s(t)|〈〈 c$$ , whereas the hyperbolic theory (∂εE/∂t≠0) is valid for arbitrary liner speeds $$|\dot s(t)|〈 c$$ .
    Type of Medium: Electronic Resource
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