A semi-empirical conductivity model for dense plasma

doi:10.16568/j.0254-6086.201604006

NUCLEAR FUSION AND PLASMA PHYSICS ›› 2016, Vol. 36 ›› Issue (4): 322-327.DOI: 10.16568/j.0254-6086.201604006

• Plasma Physics • Previous Articles Next Articles

A semi-empirical conductivity model for dense plasma

WANG Kun1, 2, SHI Zong-qian1

(1. State Key Laboratory of Electrical Insulation and Power Equipment, Xi’an Jiaotong University, Xi’an 710049; 2. Province-Ministry Joint Key Laboratory of Electromagnetic Field and Electrical Apparatus Reliability, Hebei University of Technology, Tianjin, 300130)

Online:2016-12-15 Published:2016-12-14

一种计算稠密等离子体电导率的半经验模型

王坤1, 2，史宗谦1

(1. 西安交通大学，电力设备与电气绝缘国家重点实验室，西安 710049； 2. 河北工业大学，电磁场与电器可靠性省部共建重点实验室，天津 300130)

作者简介:王坤(1987-)，男，河北保定人，博士，从事放电等离子体及其应用研究。
基金资助:
国家自然科学基金(51322706，51237006，51325705)；教育部新世纪优秀人才支持计划(NCET-11-0428)；中央高校基本科研业务费专项资金

Abstract

Abstract:

The transition of ionization mechanism from thermal ionization to pressure ionization can be described with Saha equation which is modified by the combination of pressure ionization theory and Debye theory. The results of Saha equation with combination of pressure ionization and Debye theory corrections are compared with that for different ionization models. The fully ionized plasma model is adopted to calculate the electron relaxation time in the region of ionized gases. The electron relaxation time is calculated according to the mean free path of the electrons in the region of condensed matter. A formula is constructed to make a smooth blending of the conductivity between the different regions. Therefore, a wide range semi-empirical conductivity model which is valid from ideal plasma to condensed matter is established. The conductivity data derived from the semi-empirical model is compared with experimental data.

Key words: Dense plasma, Ionization equilibrium, Pressure ionization, Conductivity, Semi-empirical model

摘要：

为了准确计算稠密等离子体电离平衡，在理想Saha 方程的基础上，加入了压致电离理论和德拜理论相结合的修正。此电离模型可以描述稠密等离子体内电离机制随着密度的增加由热电离转变为压致电离的现象。压致电离理论结合德拜理论修正的Saha 方程的计算结果与其它电离模型结果作了对比和分析。电离气体区域采用完全电离等离子体模型计算电子弛豫时间，而在凝聚态区域采用电子平均自由程计算电子弛豫时间。提出了将两个区域平滑连接起来的公式，从而建立了一种可以计算从理想等离子体态到凝聚态物质的半经验电导率模型，半经验模型计算结果与实验数据作了对比。

关键词: 稠密等离子体, 电离平衡, 压致电离, 电导率, 半经验模型

CLC Number:

O532

WANG Kun1, 2, SHI Zong-qian1. A semi-empirical conductivity model for dense plasma[J]. NUCLEAR FUSION AND PLASMA PHYSICS, 2016, 36(4): 322-327.

王坤，史宗谦. 一种计算稠密等离子体电导率的半经验模型[J]. 核聚变与等离子体物理, 2016, 36(4): 322-327.

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A semi-empirical conductivity model for dense plasma

一种计算稠密等离子体电导率的半经验模型

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