氢等离子体电导率的维里展开
Virial Expansion of the Electrical Conductivity of Hydrogen Plasmas
摘要：
本文以电阻率维里展开的形式，给出了氢作为最简单离子等离子体的电导率$σ(n,T)$的低密度极限与温度T和质量密度n的函数关系。量子统计方法产生的最低维里系数的准确值，作为基准的分析方法的电导率，以及从基于密度泛函理论的分子动力学模拟（DFT-MD）或路径积分蒙特卡罗（PIMC）模拟得到的数值结果。虽然这些模拟非常适合于计算$σ(n,T)$在一个广泛的密度和温度范围内，特别是对于温暖的致密物质区域，他们成为计算昂贵的低密度限制，维里膨胀可以用来平衡这个缺点。我们提出了新的DFT-MD模拟结果，在该制度和讨论的帐户电子-电子碰撞的维里膨胀相比。
英文摘要：
The low-density limit of the electrical conductivity $σ(n,T)$ of hydrogen as the simplest ionic plasma is presented as function of temperature T and mass density n in form of a virial expansion of the resistivity. Quantum statistical methods yield exact values for the lowest virial coefficients which serve as benchmark for analytical approaches to the electrical conductivity as well as for numerical results obtained from density functional theory based molecular dynamics simulations (DFT-MD) or path-integral Monte Carlo (PIMC) simulations. While these simulations are well suited to calculate $σ(n,T)$ in a wide range of density and temperature, in particular for the warm dense matter region, they become computationally expensive in the low-density limit, and virial expansions can be utilized to balance this drawback. We present new results of DFT-MD simulations in that regime and discuss the account of electron-electron collisions by comparing with the virial expansion.
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