AQUA：行星模型H $_2$ O状态方程集
AQUA: A Collection of H$_2$O Equations of State for Planetary Models
摘要：
水是行星结构建模中的关键化学元素之一。由于其复杂的相图，状态方程通常只涵盖行星建模所需的部分压力-温度空间。我们构造了一个适用于0.1 ~ 400 TPa，150 K ~ $10^{5}$ K的H_PDMATHABMM_O状态方程，它可以用来模拟行星内部.我们结合在局部区域有效的状态方程，以形成跨越所述压力和温度范围的连续状态方程。我们提供了最重要的热力学量的列表值，即，密度、绝热温度梯度、熵、内能和水在该压力和温度范围内的体积声速。为了更好的可用性，我们还计算了密度-温度和密度-内能网格。我们进一步讨论了这个状态方程的行星的质量半径关系相比，其他流行的状态方程，如ANEOS和QEOS的影响。AQUA是对行星模型有用的现有状态方程的组合。我们表明，AQUA是在大多数地区的水的热力学一致的描述。在10 GPa以上的压力下，AQUA预测的系统密度大于ANEOS或QEOS。一个已经存在于先前提出的状态方程中的特征，这是这项工作的主要基础方程。我们表明，状态方程的选择可以有很大的影响的质量半径关系，这突出了未来发展的重要性，在该领域的状态方程和有关的实验数据在高压下的水。
英文摘要：
Water is one of the key chemical elements in planetary structure modelling. Due to its complex phase diagram, equations of state cover often only parts of the pressure - temperature space needed in planetary modelling. We construct an equation of state of H$_2$O spanning a very wide range from 0.1 Pa to 400 TPa and 150 K to $10^{5}$ K, which can be used to model the interior of planets. We combine equations of state valid in localised regions to form a continuous equation of state spanning over said pressure and temperature range. We provide tabulated values for the most important thermodynamic quantities, i.e., density, adiabatic temperature gradient, entropy, internal energy and bulk speed of sound of water over this pressure and temperature range. For better usability we also calculated density - temperature and density - internal energy grids. We discuss further the impact of this equation of state on the mass radius relation of planets compared to other popular equation of states like ANEOS and QEOS. AQUA is a combination of existing equation of state useful for planetary models. We show that AQUA is in most regions a thermodynamic consistent description of water. At pressures above 10 GPa AQUA predicts systematic larger densities than ANEOS or QEOS. A feature which was already present in a previously proposed equation of state, which is the main underlying equation of this work. We show that the choice of the equation of state can have a large impact on the mass-radius relation, which highlights the importance of future developments in the field of equation of states and regarding experimental data of water at high pressures.
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