冲击绝热曲线上单质固体最大压缩比及相应热力学量

Maximum Compression Ratios of Elemental Solids and Corresponding Thermodynamic Quantities on Shock Adiabat

在三项式状态方程概念框架内构建了单质固体材料的通用状态方程模型,以绝对零度Thomas-Fermi模型结果的一部分近似作为被压缩固体的冷能和冷压,并利用Cowan模型和Faussurier类氢平均原子模型得到离子与电子的热能和热压。数值计算证实,在材料压缩比大于2的条件下,该模型具有通用的特点。利用该模型计算了原子序数从3到70的所有单质固体在冲击绝热曲线上的最大压缩比及相应的温度和压强,并与其他模型所得的结果进行了比较。这些数值结果可供强激波压缩实验参考。

A three-term equation of state for elemental solid materials is established,in which the cold energy and pressure are approximated by a fraction of the numerical solution of Thomas-Fermi theory at absolute zero-temperature,the thermal energy and pressure of ions are obtained from Cowan model,and the thermal energy and pressure of electrons are built on the basis of the screened hydrogenic average-atom model of Faussurier.Numerical results show that this model is applicable for elemental solid materials when their compression ratios of density are greater than 2.Moreover,the maximum compression ratios,the corresponding temperature and pressure on the shock adiabat are calculated and compared with other models for elemental solid materials with nuclear charge from 3to 70.These results can be used to contrast with strong shock wave compression experiments.