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Consistent approach for electrical resistivity within Ziman's theory from solid state to hot dense plasma: Application to aluminum
Physical Review E ( IF 2.4 ) Pub Date : 2020-11-16 , DOI: 10.1103/physreve.102.053209
Nadine Wetta , Jean-Christophe Pain

The approach presented in this work allows a consistent calculation of electrical conductivity of dense matter from the solid state to the hot plasma using the same procedure, consisting in dropping elastic scattering contributions to solid's and liquid's structure factors in the framework of the Ziman theory. The solid's structure factor was computed using a multiphonon expansion. The elastic part is the zero-phonon term and corresponds to Bragg peaks, thermally damped by Debye-Waller attenuation factors. For the liquid, a similar elastic contribution to the structure factor results from a long-range order persisting during the characteristic electron-ion scattering time. All the quantities required for the calculation of the resistivities are obtained from our average-atom model, including the total hypernetted-chain structure factor used from the liquid state to the plasma. No interpolation between two limiting structure factors is required. We derive the correction to apply to the resistivity in order to account for the transient long-range order in the liquid and show that it improves considerably the agreement with quantum-molecular dynamics simulations and experimental aluminum's isochoric and isobaric conductivities. Our results suggest that the long-range order in liquid aluminum could be a slightly compressed fcc one. Two series of ultrafast experiments performed on aluminum were also considered, the first one by Milchberg et al. using short laser pulses and the second one by Sperling et al. involving x-ray heating and carried out on the Linac Coherent Light Source facility. Our attempts to explain the latter assuming an initial liquid state at an ion temperature much smaller than the electron one suggest that the actual initial state before main heating is neither perfectly solid nor a normal liquid.

中文翻译:

Ziman理论中从固态到热致密等离子体的电阻率一致方法:在铝中的应用

在这项工作中提出的方法允许使用相同的程序从固态到热等离子体一致地计算稠密物质的电导率,包括在Ziman理论的框架内降低对固体和液体结构因子的弹性散射贡献。固体的结构因子是使用多声子展开来计算的。弹性部分是零声子项,对应于布拉格峰,该峰由Debye-Waller衰减因子进行热阻尼。对于液体,由于在特征性电子离子散射时间内持续存在长距离顺序,因此对结构因子也产生了类似的弹性贡献。计算电阻率所需的所有量均来自我们的平均原子模型,包括从液态到血浆使用的总超网状链结构因子。在两个极限结构因子之间不需要内插。我们推导了适用于电阻率的校正,以解决液体中的瞬态远距离有序问题,并表明它大大改善了与量子分子动力学模拟以及实验铝的等压和等压电导率的一致性。我们的结果表明,液态铝的远距离订购可能是略微压缩的fcc。还考虑了在铝上进行的两个系列的超快实验,第一个是Milchberg 我们推导了适用于电阻率的校正,以解决液体中的瞬态远距离有序问题,并表明它大大改善了与量子分子动力学模拟以及实验铝的等压和等压电导率的一致性。我们的结果表明,液态铝的远距离订购可能是略微压缩的fcc。还考虑了在铝上进行的两个系列的超快实验,第一个是Milchberg 我们推导了适用于电阻率的校正,以解决液体中的瞬态远距离有序问题,并表明它大大改善了与量子分子动力学模拟以及实验铝的等压和等压电导率的一致性。我们的结果表明,液态铝的远距离订购可能是略微压缩的fcc。还考虑了在铝上进行的两个系列的超快实验,第一个是Milchberg等。使用短的激光脉冲和第二个由斯珀林等。涉及X射线加热,并在直线加速器相干光源设备上进行。我们试图解释后者的假设是在离子温度比电子小得多的离子温度下处于初始液态,这表明在主加热之前的实际初始态既不是完全固态也不是正常液态。
更新日期:2020-11-16
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