Fan Zhengfeng, Yu Chengxin, Gao Cong-Zhang, Xu Xuefeng, Zhang Cunbo, Wu Binbing, Liu Jie, Wang Pei, Zhu Shaoping
<a href="https://ror.org/03sxpbt26">Institute of Applied Physics and Computational Mathematics</a>, Beijing 100088, China.
HEDPS, Center for Applied Physics and Technology, and College of Engineering, <a href="https://ror.org/02v51f717">Peking University</a>, Beijing 100871, China.
Phys Rev E. 2024 Aug;110(2-2):025202. doi: 10.1103/PhysRevE.110.025202.
Modeling the nonequilibrium process between ions and electrons is of great importance in laboratory fusion ignition, laser-plasma interaction, and astrophysics. For hot and dense plasmas, theoretical descriptions of Coulomb collisions remain complicated due to quantum effect at short distances and screening effect at long distances. In this paper, we propose an analytical screened quantum statistical potential that takes into account both the short-range quantum diffraction effect and the long-range screening effect. By implementing the newly developed potential into the binary scattering framework, the electron-proton temperature relaxation in hot-dense hydrogen plasmas is investigated. In both the classical and quantum limits, analytical expressions for the Coulomb logarithm have been obtained, which are generally embedded in an asymptotic matching formula. Quantitative comparisons with molecular dynamics simulations and recent OMEGA experiments demonstrate that the present modeling is well suited to describe the temperature relaxation process between electrons and ions in hot-dense plasmas.
对离子与电子之间的非平衡过程进行建模，在实验室聚变点火、激光 - 等离子体相互作用以及天体物理学中具有重要意义。对于高温高密度等离子体，由于短距离的量子效应和长距离的屏蔽效应，库仑碰撞的理论描述仍然很复杂。在本文中，我们提出了一种解析屏蔽量子统计势，它同时考虑了短程量子衍射效应和长程屏蔽效应。通过将新开发的势应用于二元散射框架，研究了高温高密度氢等离子体中电子 - 质子的温度弛豫。在经典极限和量子极限下，都得到了库仑对数的解析表达式，这些表达式通常包含在一个渐近匹配公式中。与分子动力学模拟和最近的OMEGA实验的定量比较表明，当前的模型非常适合描述高温高密度等离子体中电子与离子之间的温度弛豫过程。
