Systematic calculations of plasma transport coefficients for the Periodic Table.

Systematic calculations of plasma transport coefficients for the Periodic Table.
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系统计算元素周期表的等离子体传输系数。

DOI:
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发表时间:
1988
期刊:
Physical review. A, General physics
影响因子:
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通讯作者:
G. Rinker
G. Rinker
中科院分区:
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文献类型:
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作者:
G. Rinker

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给出了整个元素周期表在极端温度和密度范围内的电离态、电导率、热导率和热电系数的理论结果。以均匀等离子体背景中的球形平均离子为模型,计算态的电子密度、弹性散射截面和电离态。然后将它们与单组分等离子体结构因子相结合,根据扩展的齐曼公式计算平均弛豫时间和电阻率。用Lampe方法由这些数值计算热导率和热电系数。并进行了实验比较。输运系数对于弱关联和中等关联的等离子体似乎是准确的,但对于强关联的液体或晶体材料则不是。这些系数以温度和密度的数值函数的形式列出。这些表的温度范围从${10}^{mathm{ensureath{-}}2}$到${10}^{4}$ev。密度范围取决于原子质量;下限范围从${10}^{mathrm{susureath{-}}4}$到${10}^{mathm{susureath{-}}2}$g/${mathm{cm}^{3}$,上限范围从${10}^{5}$到${10}^{7}$g/${mathm{cm}}^{3}$。给出了结果的有效性区域的迹象。
Theoretical results are given for the ionization state, electrical conductivity, thermal conductivity, and thermoelectric coefficient for the entire Periodic Table over extreme ranges of temperature and density. A spherical average ion embedded in a uniform plasma background is used as a model to evaluate the electron densities of states, elastic scattering cross sections, and ionization states. These are then combined with one-component plasma structure factors to compute mean relaxation times and electrical resistivities according to an extended Ziman formula. The method of Lampe is used to compute thermal conductivities and thermoelectric coefficients from these values. Some experimental comparisons are made. The transport coefficients appear to be accurate for weakly and moderately correlated plasmas, but not for strongly correlated liquids or crystalline materials. The coefficients are tabulated as numerical functions of temperature and density. The tables extend in temperature from ${10}^{mathrm{ensuremath{-}}2}$ to ${10}^{4}$ eV. Density ranges depend upon atomic mass; lower limits range from ${10}^{mathrm{ensuremath{-}}4}$ to ${10}^{mathrm{ensuremath{-}}2}$ g/${mathrm{cm}}^{3}$, and upper limits range from ${10}^{5}$ to ${10}^{7}$ g/${mathrm{cm}}^{3}$. Indications are given of the regions of validity of the results.