温稠密钛电导率计算  

A simple and effective simulation for electrical conductivity of warm dense titanium

作　　者：付志坚[1,2] 贾丽君[3] 夏继宏[1] 唐可[1] 李召红[1] 权伟龙[2] 陈其峰[2] 

机构地区：[1]重庆文理学院电子电气工程学院,重庆402160 [2]中国工程物理研究院流体物理研究所,冲击波物理与爆轰物理国防科技重点实验室,绵阳621900 [3]重庆文理学院图书馆,重庆402160

出　　处：《物理学报》2016年第6期225-232,共8页Acta Physica Sinica

基　　金：国家自然科学基金(批准号:11074266,11071025);中国工程物理研究院科技发展基金(批准号:2013 A0101001)、中国工程物理研究院冲击波物理和爆轰物理国家重点实验室基金(批准号:9140 C670103150 C67289);重庆市教育委员会科学技术研究项目(批准号:KJ131222,KJ121209);中国博士后科学基金(批准号:2015 M572497);重庆文理学院项目(批准号:R2012DQ05)资助的课题~~

摘　　要：温稠密物质是惯性约束核聚变、重离子聚变、Z箍缩动作过程中物质发展和存在的重要阶段.其热力学性质和辐射输运参数在聚变实验和内爆驱动力学模拟过程中有至关重要的作用.本文通过建立非理想Saha方程,结合线性混合规则的理论方法模拟了温稠密钛从10^(-5)—10 g·cm^(-3),10~4K到3×10~4K区间的粒子组分分布和电导率随温度密度的变化,其中粒子组分分布由非理想Saha方程求解得到.线性混合规则模型计算温稠密钛的电导率时考虑了包括电子、原子和离子之间的多种相互作用.钛的电导率的计算结果与已有的爆炸丝实验数据相符.通过电导率随温度密度变化趋势判断,钛在整个温度区间,密度0.56 g·cm^(-3)时发生非金属相到金属相相变.对于简并系数和耦合系数的计算分析,钛等离子体在整个温度和密度区间逐渐从弱耦合、非简并状态过渡到强耦合部分简并态.A linear mixture rule has been used to calculate the electrical conductivity of warm dense titanium plasmas in the density and temperature ranges of 10^5–10 g·cm^-3 and 10^4–3×10^4K, in which the interactions among electrons, atoms,and ions are considered systemically. In the first place, the coupling and degeneracy parameters of titanium plasma are shown as a function of density and temperature in the warm dense range. The warm dense titanium plasmas span from weakly coupled, nondegenerate region to strongly coupled, degenerate domain in the whole density and temperature regime. The titanium plasma becomes strongly coupled plasma at higher than 0.22 g·cm^-3 and almost in the whole temperature range where the coupling parameter Γii. In particular, the Coulomb interactions become stronger at higher than 0.56 g cm^-3 where Γii 16. At the same time, the titanium plasma is in the degenerate regime at higher than 0.35 g·cm^-3where the degeneracy parameter Θ , and is in the nondegenerate or partial degenerate regime at lower than 0.35 g·cm^-3 where Θ. The influence of temperature on the coupling and degeneracy parameters is less than that of the density, and the plasma composition is calculated by the nonideal Saha equation felicitously. Thus the ionization degree decreases with increasing density at lower density, which is due to the thermal ionization in that regime where the free electrons have sufficiently high thermal energy. Meanwhile, the ionization degree increases with the increase of density at higher than 0.1 g·cm^-3, in which the pressure ionization takes place in the region where the electrons have sufficiently high density and the collisions increase rapidly. There is a minimum for the ionization degree at about0.1 g·cm^-3, while the maximum ionization degree reaches 4 at 10 g·cm^-3. In the whole temperature regime, the titanium plasma is mostly in the partial plasma domain at lower than 1 g·cm^-3, and becomes completely ionized at higher than1 g·cm^-3. The calculated conductivity is in

关 键 词：温稠密钛 线性混合规则 电导率 

分 类 号：TG146.23[一般工业技术—材料科学与工程]