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Nonuniqueness of two-temperature Guldberg-Waage and Saha equations: Influence on thermophysical properties of SF

_{6} plasmas

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10.1063/1.4829035

### Abstract

This paper focuses to study how the choice of Guldberg-Waage and Saha equations affects the thermodynamic properties and transport coefficients of SF6 plasmas under both thermal equilibrium and non-equilibrium conditions. The species composition is numerically determined using two typical forms of two-temperature Saha equations and Guldberg-Waage equations that have appeared in the literature. The great influence of the choice of the excitation temperature on the plasma composition and hence the thermodynamic properties and transport coefficients is discussed as well. Transport coefficients are calculated with most recent collision interaction potentials by adopting Devoto's electron and heavy particle decoupling approach but expanded to the third-order approximation (second-order for viscosity) within the framework of Chapman-Enskog method. Furthermore, an analysis of the effect of different definitions of Debye length on the properties values was performed as well. The results are computed for various values of pressures from 0.10 atm to 10 atm and non-equilibrium parameter, i.e., ratio of the electron temperature to the heavy particle temperature from 1 to 5 with electron temperature range from 300 to 40 000 K. Both forms of Guldberg-Waage and Saha equations used here can give completely the same value when the two-temperature model reaches the special case of local thermodynamic equilibrium. It has been observed that all above mentioned factors can significantly modify the plasma species composition and consequently affect the thermodynamic and transport properties.

© 2013 AIP Publishing LLC

Received 25 August 2013
Accepted 22 October 2013
Published online 07 November 2013

Acknowledgments: This work was supported by Dual Collaborative PhD Degree Program between Xi'an Jiaotong University and University of Liverpool.

Article outline:

I. INTRODUCTION

II. THEORETICAL ASPECTS

A. Determination of plasma composition

1. Potapov's method

2. Method of Van de Sanden *et al.*

3. Evaluation of partition function

B. Determination of thermodynamic and transport properties

III. RESULTS AND DISCUSSIONS

A. Influence of different expressions of mass action law

B. Influence of different reaction excitation temperatures

C. Influence of the ions shielding in the Debye length

D. Influence of different pressures

IV. CONCLUSIONS

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2013-11-07

2014-04-19

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