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High temperature equation of state of metallic hydrogen

机译：金属氢的高温状态方程

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The equation of state of liquid metallic hydrogen is solved numerically. Investigations are carried out at temperatures from 3000 to 20000 K and densities from 0.2 to 3 mol/cm(3), which correspond both to the experimental conditions under which metallic hydrogen is produced on earth and the conditions in the cores of giant planets of the solar system such as Jupiter and Saturn. It is assumed that hydrogen is in an atomic state and all its electrons are collectivized. Perturbation theory in the electron-proton interaction is applied to determine the thermodynamic potentials of metallic hydrogen. The electron subsystem is considered in the random-phase approximation with regard to the exchange interaction and the correlation of electrons in the local-field approximation. The proton-proton interaction is taken into account in the hard-spheres approximation. The thermodynamic characteristics of metallic hydrogen are calculated with regard to the zero-, second-, and third-order perturbation theory terms. The third-order term proves to be rather essential at moderately high temperatures and densities, although it is much smaller than the second- order term. The thermodynamic potentials of metallic hydrogen are monotonically increasing functions of density and temperature. The values of pressure for the temperatures and pressures that are characteristic of the conditions under which metallic hydrogen is produced on earth coincide with the corresponding values reported by the discoverers of metallic hydrogen to a high degree of accuracy. The temperature and density ranges are found in which there exists a liquid phase of metallic hydrogen.
机译：数值求解液态金属氢的状态方程。研究是在3000至20000 K的温度和0.2至3 mol / cm（3）的密度下进行的，这既对应于在地球上产生金属氢的实验条件，也对应于地球巨型行星核心的条件。太阳系，如木星和土星。假设氢处于原子态，并且其所有电子都被集体化。应用电子-质子相互作用中的微扰理论确定金属氢的热力学势。关于电子交互作用和电子在局部场近似中的相关性，在随机相位近似中考虑了电子子系统。在硬球近似中考虑质子-质子相互作用。根据零阶，二阶和三阶扰动理论项来计算金属氢的热力学特性。尽管三阶项比二阶项小得多，但它在中等高温和高密度下被证明是必不可少的。金属氢的热力学势是密度和温度的单调增加函数。在地球上产生金属氢的条件下具有特征性的温度和压力值与金属氢发现者所报告的相应值高度吻合。发现存在金属氢液相的温度和密度范围。

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