Laboratoire "Interactions, Dynamiques et Lasers", UMR 9222, CEA-CNRS-Université Paris-Saclay, Centre d'Études de Saclay, F-91191 Gif-sur-Yvette Cedex, France.
CEA, DAM, DIF, F-91297 Arpajon, France.
Phys Rev E. 2023 Mar;107(3-2):035209. doi: 10.1103/PhysRevE.107.035209.
We propose a model of ion-electron plasma (or nucleus-electron plasma) that accounts for the electronic structure around nuclei (i.e., ion structure) as well as for ion-ion correlations. The model equations are obtained through the minimization of an approximate free-energy functional, and it is shown that the model fulfills the virial theorem. The main hypotheses of this model are (1) nuclei are treated as classical indistinguishable particles, (2) electronic density is seen as a superposition of a uniform background and spherically symmetric distributions around each nucleus (system of ions in a plasma), (3) free energy is approached using a cluster expansion (nonoverlapping ions), and (4) resulting ion fluid is modeled through an approximate integral equation. In the present paper, the model is described only in its average-atom version.
我们提出了一种离子-电子等离子体（或原子核-电子等离子体）模型，该模型考虑了原子核周围的电子结构（即离子结构）以及离子-离子相关性。模型方程通过最小化近似自由能泛函获得，结果表明该模型满足维里定理。该模型的主要假设是：(1) 原子核被视为经典的不可分辨粒子；(2) 电子密度被视为均匀背景和每个原子核（等离子体中的离子系统）周围的球对称分布的叠加；(3) 使用团簇展开逼近自由能（不重叠的离子）；(4) 通过近似积分方程来模拟得到的离子流体。在本文中，仅描述了模型的平均原子版本。
