# The equation of state and ionization equilibrium of dense aluminum plasma with conductivity verification

## Abstract

The equation of state, ionization equilibrium, and conductivity are the most important parameters for investigation of dense plasma. The equation of state is calculated with the non-ideal effects taken into consideration. The electron chemical potential and pressure, which are commonly used thermodynamic quantities, are calculated by the non-ideal free energy and compared with results of a semi-empirical equation of state based on Thomas-Fermi-Kirzhnits model. The lowering of ionization potential, which is a crucial factor in the calculation of non-ideal Saha equation, is settled according to the non-ideal free energy. The full coupled non-ideal Saha equation is applied to describe the ionization equilibrium of dense plasma. The conductivity calculated by the Lee-More-Desjarlais model combined with non-ideal Saha equation is compared with experimental data. It provides a possible approach to verify the accuracy of the equation of state and ionization equilibrium.

- Authors:

- State Key Laboratory of Electrical Insulation and Power Equipment, Xi'an Jiaotong University, Xi'an 710049 (China)

- Publication Date:

- OSTI Identifier:
- 22490937

- Resource Type:
- Journal Article

- Resource Relation:
- Journal Name: Physics of Plasmas; Journal Volume: 22; Journal Issue: 6; Other Information: (c) 2015 AIP Publishing LLC; Country of input: International Atomic Energy Agency (IAEA)

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 70 PLASMA PHYSICS AND FUSION TECHNOLOGY; ACCURACY; ALUMINIUM; ELECTRONS; EQUATIONS OF STATE; EXPERIMENTAL DATA; FREE ENERGY; IONIZATION; PLASMA; POTENTIALS; SAHA EQUATION; THOMAS-FERMI MODEL; VERIFICATION

### Citation Formats

```
Wang, Kun, Shi, Zongqian, Shi, Yuanjie, Bai, Jun, Wu, Jian, and Jia, Shenli.
```*The equation of state and ionization equilibrium of dense aluminum plasma with conductivity verification*. United States: N. p., 2015.
Web. doi:10.1063/1.4922909.

```
Wang, Kun, Shi, Zongqian, Shi, Yuanjie, Bai, Jun, Wu, Jian, & Jia, Shenli.
```*The equation of state and ionization equilibrium of dense aluminum plasma with conductivity verification*. United States. doi:10.1063/1.4922909.

```
Wang, Kun, Shi, Zongqian, Shi, Yuanjie, Bai, Jun, Wu, Jian, and Jia, Shenli. Mon .
"The equation of state and ionization equilibrium of dense aluminum plasma with conductivity verification". United States.
doi:10.1063/1.4922909.
```

```
@article{osti_22490937,
```

title = {The equation of state and ionization equilibrium of dense aluminum plasma with conductivity verification},

author = {Wang, Kun and Shi, Zongqian and Shi, Yuanjie and Bai, Jun and Wu, Jian and Jia, Shenli},

abstractNote = {The equation of state, ionization equilibrium, and conductivity are the most important parameters for investigation of dense plasma. The equation of state is calculated with the non-ideal effects taken into consideration. The electron chemical potential and pressure, which are commonly used thermodynamic quantities, are calculated by the non-ideal free energy and compared with results of a semi-empirical equation of state based on Thomas-Fermi-Kirzhnits model. The lowering of ionization potential, which is a crucial factor in the calculation of non-ideal Saha equation, is settled according to the non-ideal free energy. The full coupled non-ideal Saha equation is applied to describe the ionization equilibrium of dense plasma. The conductivity calculated by the Lee-More-Desjarlais model combined with non-ideal Saha equation is compared with experimental data. It provides a possible approach to verify the accuracy of the equation of state and ionization equilibrium.},

doi = {10.1063/1.4922909},

journal = {Physics of Plasmas},

number = 6,

volume = 22,

place = {United States},

year = {Mon Jun 15 00:00:00 EDT 2015},

month = {Mon Jun 15 00:00:00 EDT 2015}

}