Comparative Studies of the Exchange-Correlation Potential Formulas for Coulomb Systems |
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| Authors: | W Stolzmann M Rösler |
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| Institution: | 1. Sektion Physik/Elektronik der Ernst-Moritz-Arndt-Universität, Domstraße 10a, DDR-2200 Greifswald GDR;2. Zentralinstitut für Elektronenphysik der Akademie der Wissenschaften der DDR, Berlin |
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| Abstract: | The exchange-correlation part (xc) to the free energy is numerical evaluated in the RPA at arbitrary degree of degeneracy. The results are compared with numerical data of easy-to-use analytic fit-formulas or Padé approximants of the xc-term. All together results show very high accuracy at extremly high densities (rs ≈ 1). The agreements disappear between the several formulas for increasing Brueckner parameter rs. Numerical results for the xc-potentials (pressure and chemical potential) at finite temperatures for an electron-ion system are given. The xc-part of the ground state energy of our electron-ion model is compared with the ground state energy for metallic hydrogen and with Monte-Carlo calculations. |
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