凝聚态物质状态方程的一个数值模型

核聚变与等离子体物理 ›› 2011, Vol. 31 ›› Issue (2): 97-104.

• 等离子体物理学 • 下一篇

凝聚态物质状态方程的一个数值模型

段耀勇，郭永辉，邱爱慈

(西北核技术研究所，西安 710024)

收稿日期:2010-08-05 修回日期:2011-02-09 出版日期:2011-06-15 发布日期:2011-09-02
作者简介:段耀勇(1966-)，男，湖北麻城人，副研究员，从事计算物理工作。
基金资助:
国家自然科学基金资助项目(10905047，10635050)

A numerical model for the equation of state for condensed matter

DUAN Yao-yong, GUO Yong-hui, QIU Ai-ci

(Northwest Institute of Nuclear Technology, Xi’an 710024)

Received:2010-08-05 Revised:2011-02-09 Online:2011-06-15 Published:2011-09-02

摘要/Abstract

摘要：

建立了凝聚态物质的一个三项式状态方程：以Faussurier平均原子模型为基础计算电子热压和电子热能；以Cowan模型为基础计算离子热压和离子热能；用基于实验数据的半经验拟合公式计算物质的冷压和冷能。用实验数据检验了用平均原子模型计算的平均电离度。将状态方程与Hugoniot关系式相结合，计算了Be和Al的冲击绝热曲线，结果充分地展现出电子在高温、高密度条件下的壳层结构效应。

关键词: 凝聚态物质, 冲击波, 状态方程

Abstract:

A numerical model for the equation of state for condensed matter is developed in the form of three-term type: the electronic thermal pressure and thermal energy are computed by using Faussurier’s average atom model; the ionic thermal pressure and thermal energy are calculated using Cowan’s ion model; the cold pressure and cold internal energy come from a semi-empirical fitting formula based on experimental data. The average ionizations computed by the average atom model are compared with experimental data. The equation of state combined with Hugoniot relation is used to calculate the Hugoniot curves of beryllium and aluminum, in which the electron shell-structure effect is embodied obviously.

Key words: Condensed matter, Shock wave, Equation of state

中图分类号:

段耀勇，郭永辉，邱爱慈. 凝聚态物质状态方程的一个数值模型[J]. 核聚变与等离子体物理, 2011, 31(2): 97-104.

DUAN Yao-yong, GUO Yong-hui, QIU Ai-ci. A numerical model for the equation of state for condensed matter[J]. NUCLEAR FUSION AND PLASMA PHYSICS, 2011, 31(2): 97-104.

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凝聚态物质状态方程的一个数值模型

A numerical model for the equation of state for condensed matter

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