Equation of state in metals and cold stars: Evaluation of statistical models
Equation of state in metals and cold stars: Evaluation of statistical models
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金属和冷星的状态方程：统计模型的评估
DOI：
10.1086/170389
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发表时间：
1991
期刊：
影响因子：
--
通讯作者：
S. Shapiro
中科院分区：
文献类型：
--
作者：
D. Lai;A. Abrahams;S. Shapiro
利用Weizsacker梯度和相关能修正，改进了电子结构的Thomas-Fermi-Dirac （TFD）统计模型。然后利用所得的FTD-λWc模型计算Wigner-Seitz球胞近似下的非相对论冷物质状态方程（EOS）。修正项主要在接近物质平衡（即零压力）的低密度情况下是重要的。梯度项的加入消除了TFD模型的许多非物理特征。总结了天体物理和理论重要性的几个要素的结果。利用TDF-λ wceos计算了低质量白矮星模型的质量-半径关系。
The Thomas-Fermi-Dirac (TFD) statistical model for electronic structures if refined by Weizsacker gradient and correlation energy corrections. The resulting FTD-λWc model is then used to calculate the nonrelativistic, cold matter equation of state (EOS) in the Wigner-Seitz spherical cell approximation. The correction terms are important mainly at low densities near matter equilibrium (i.e., zero pressure). Inclusion of the gradient term removes many of the unphysical features of the TFD model. Results are summarized for several elements of astrophysical and theoretical importance. The mass-radius relation of a low-mass white dwarf model is calculated using the TDF-λWc EOS.