Cluster virial expansion for the equation of state of partially ionized hydrogen plasma.
Cluster virial expansion for the equation of state of partially ionized hydrogen plasma.
复制标题
部分电离氢等离子体状态方程的簇维里展开。
DOI：
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发表时间：
2010
期刊：
影响因子：
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通讯作者：
G. Ropke
中科院分区：
文献类型：
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作者：
Y. Omarbakiyeva;C. Fortmann;T. Ramazanov;G. Ropke
利用团簇维里展开方法研究了电子-原子相互作用对部分电离氢等离子体状态方程的贡献。我们使用Beth-Uhlenbeck方法从相应的散射相移和结合能计算电子-原子（束缚簇）对的第二维里系数。实验散射截面以及不同的赝势模型的基础上计算的相移被用作输入的Beth-Uhlenbeck公式。通过在相移计算中加入泡利阻塞和屏蔽，我们推广了团簇维里展开，以便也覆盖近固体密度等离子体。我们目前的结果为电子原子的维里膨胀和相应的状态方程，即压力，成分和化学势作为密度和温度的函数的贡献。这些结果进行了比较与半经验的方法，部分电离等离子体的热力学。避免任何不合理的输入量，Beth-Uhlenbeck第二维里系数的电子原子相互作用代表了其他半经验方法的基准。
We study the contribution of electron-atom interaction to the equation of state for partially ionized hydrogen plasma using the cluster-virial expansion. We use the Beth-Uhlenbeck approach to calculate the second virial coefficient for the electron-atom (bound cluster) pair from the corresponding scattering phase shifts and binding energies. Experimental scattering cross-sections as well as phase shifts calculated on the basis of different pseudopotential models are used as an input for the Beth-Uhlenbeck formula. By including Pauli blocking and screening in the phase shift calculation, we generalize the cluster-virial expansion in order to cover also near solid density plasmas. We present results for the electron-atom contribution to the virial expansion and the corresponding equation of state, i.e. pressure, composition, and chemical potential as a function of density and temperature. These results are compared with semiempirical approaches to the thermodynamics of partially ionized plasmas. Avoiding any ill-founded input quantities, the Beth-Uhlenbeck second virial coefficient for the electron-atom interaction represents a benchmark for other, semiempirical approaches.