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Statistical Model for Quasicontinuum of Heavy Ions in Hot Plasma

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Abstract

A statistical description is proposed for the shape of heavy impurity spectra observed in tokamaks and stellarators, corresponding to the quasicontinuous radiation distribution, and called the quasicontinuum. For the tungsten ions, in particular, it is located in the spectral range of ∼2 to 7 nm. The method is based on the statistical plasma model of atom, which allows expressing the quasicontinuum structure through the electron density distribution of multielectron ions. The Slater distribution is used as a model density distribution. The quasicontinuum is formed by the great number of closely spaced lines of heavy ions with different degrees of ionization, and its calculation is very complicated. A comparison of the results obtained within the statistical approach with the results of the level-by-level quantum mechanical calculations shows that such a model plausibly describes the envelopes of the individual line arrays in the ion spectra. In contrast to the level-by-level calculation codes, the statistical atom model is rather simple and it can be used by a large number of users. The quasicontinuum was simulated for the tungsten, gold, lead, and gadolinium ions, which are observed in plasmas of fusion facilities. The simulation results are in fairly good agreement with the experimental data. The studies of the tungsten quasicontinuum are of interest from the point of view of plasma diagnostics, as well as determination of the tungsten impurity density and its transport in fusion facilities.

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Authors and Affiliations

  1. National Research Centre “Kurchatov Institute”, 123182, Moscow, Russia

    A. V. Demura, D. S. Leontyev, V. S. Lisitsa & V. A. Shurygin

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  1. A. V. Demura
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  2. D. S. Leontyev
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  3. V. S. Lisitsa
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  4. V. A. Shurygin
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Correspondence to D. S. Leontyev.

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Translated by I. Grishina

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Demura, A.V., Leontyev, D.S., Lisitsa, V.S. et al. Statistical Model for Quasicontinuum of Heavy Ions in Hot Plasma. Plasma Phys. Rep. 46, 241–251 (2020). https://doi.org/10.1134/S1063780X20030046

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