Maximum Compression Ratios of Elemental Solids and Corresponding Thermodynamic Quantities on Shock Adiabat
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摘要: 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。Abstract: 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 3 to 70.These results can be used to contrast with strong shock wave compression experiments.
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Key words:
- dense plasmas /
- equation of state /
- shock waves
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图 1 Al冲击绝热线上压强随密度压缩比的变化
Figure 1. Pressure on shock adiabat vs. compression ratio of density for Al
图 2 Mo冲击绝热线上压强随密度压缩比的变化
Figure 2. Pressure on shock adiabat vs. compression ratio of density for Mo
图 3 FCTF模型计算冲击绝热线上压强随压缩比的变化与FCZH模型的比较
Figure 3. Comparison of pressure vs. compression ratio on shock adiabat curve between FCZH and FCTF
图 4 Au材料激波后粒子速度与压强的关系
Figure 4. Pressure vs. particle velocity behind the shock wave front for Au
图 5 冲击绝热曲线上最大压缩比随核电荷Z的变化
Figure 5. Maximum compression ratio on shock adiabat as a function of nuclear charge
图 6 最大密度压缩比处温度随核电荷的变化
Figure 6. Temperature at maximum compression ratio as a function of nuclear charge
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