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  • Extension of the Bissell-Johnson plasma-sheath model for application to fusion-relevant and general plasmas
    Kos, Leon, 1966- ...
    This article presents an approach to solving a special Fredholm-type integral equation of the first kind with a particular kernel containing a modified Bessel function for applications in plasma ... physics. From the physical point of view, the problem was defined by Bissell and Johnson (B&J) [Phys. Fluids 30,779 (1987)] as a task to find the potential profile and the ion velocity distribution function in a plane-parallel discharge with a Maxwellian ion source. The B&J model is a generalization of the well-known Tonks-Langmuir (T&L) [Phys. Rev. 34, 876 (1929)] discharge model characterized by a "cold" ion source. Unlike the T&L model, which can be readily solved analytically, attempts to solve the B&J model with a "warm" ion source have been done only numerically. However, the validity of numerical solutions up to date remains constrained to a rather limited range of a crucial independent parameter of the B&J integral equation, which mathematically is the width of a Gaussian distribution and phzsically represents the ion temperature. It was solved only for moderately warm ion sources. This paper presents the exact numerical solution of the B&J model, which is valid without any restriction regarding the above-mentioned parameter. It is shown that the ion temperature is very different from the temperature of the ion source. The new results with high-temperature ion sources are not only of particular importance for understanding and describing the plasma-sheath boundary in fusion plasmas, but are of considerable interest for discharge problems in general. The eigenvalue of the problem, found analytically by Harrison and Thompson [Proc. Phys. Soc. 74, 145 (1959)] for the particular case of a cold ion source, is here extended to arbitrary ion-source temperatures.
    Vir: Physics of plasmas. - ISSN 1070-664X (Vol. 16, iss. 9, 2009, str. 093503-1-093503-14)
    Vrsta gradiva - članek, sestavni del
    Leto - 2009
    Jezik - angleški
    COBISS.SI-ID - 11092763
vir: Physics of plasmas. - ISSN 1070-664X (Vol. 16, iss. 9, 2009, str. 093503-1-093503-14)
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