Region of validity of the Thomas_Fermi model with quantum, exchange and shell corrections

31st International Conference on Equations of State for Matter

Dyachkov, S.A.^1,2 ; Levashov, P.R.^1,2 ; Minakov, D.V.^1,2

Joint Institute for High Temperatures of the Russian Academy of Sciences, Izhorskaya 13, Moscow

125412, Russia^1

Moscow Institute of Physics and Technology, Institutskiy Pereulok 9, Dolgoprudny, Moscow Region

141700, Russia^2

关键词: Classical model;    Shell correction;    Thermodynamic functions;    Thomas-Fermi approach;    Thomas-Fermi model;   

Others  :  https://iopscience.iop.org/article/10.1088/1742-6596/774/1/012006/pdf
DOI  :  10.1088/1742-6596/774/1/012006

来源: IOP

【 摘 要 】

A novel approach to calculate thermodynamically consistent shell corrections in wide range of parameters is used to predict the region of validity of the Thomas-Fermi approach. Calculated thermodynamic functions of electrons at high density are consistent with the more precise density functional theory. It makes it possible to work out a semi-classical model applicable both at low and high density.