Shell correction to the Thomas—Fermi statistical model of plasma with different atomic composition at high and low temperatures

30th International Conference on Interaction of Intense Energy Fluxes with Matter

Shpatakovskaya, G.V.^1 ; Karpov, V.Ya.^2

Keldysh Institute of Applied Mathematics, Russian Academy of Sciences, Miusskaya Square 4, Moscow

125047, Russia^1

Bruk Institute for Electronic Control Machines, Vavilova 24, Moscow

119334, Russia^2

关键词: Atomic compositions;    High temperature;    ITS applications;    Low temperatures;    Plasma equations;    Semiclassical methods;    Shell correction;    Single particle state;   

Others  :  https://iopscience.iop.org/article/10.1088/1742-6596/653/1/012074/pdf
DOI  :  10.1088/1742-6596/653/1/012074

来源: IOP

【 摘 要 】

The refined semiclassical method based on the Thomas-Fermi statistical model takes into account the shell effects by means of an additive correction. The method has been verified in the calculations of a plasma equation of state at high temperatures. To expand its application range to low temperatures some assumptions are revised that have been made to obtain the simple formula for a shell correction. The validity of the assumptions is discussed and the results of their refusal are analyzed. As examples, a number of single-particle states in the ideal plasma of a few elements with strongly differing atomic numbers is calculated.