# Thermodynamic and Transport Properties of Equilibrium Debye Plasmas

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## Abstract

**:**

## 1. Introduction

## 2. Results

#### 2.1. Thermodynamics

#### 2.2. Transport: The Electrical Conductivity

## 3. Conclusions

## Author Contributions

## Funding

## Acknowledgments

## Conflicts of Interest

## References

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**Figure 1.**(

**a**) Dependence of the ionization potential of atomic hydrogen on the Debye length ($\delta $ = 10${}^{5}$${a}_{0}$). (

**b**) Radial wavefunction of the H(1s) ground level for different screening conditions, from isolated atom (${\lambda}_{D}$ = ∞) to severe confinement corresponding to very low values of ${\lambda}_{D}$.

**Figure 2.**(

**a**) Atomic hydrogen internal partition function as a function of temperature at ${n}_{e}$ = 10${}^{20}$ cm${}^{-3}$, calculated with the unperturbed levels with cut-off criteria, ${\mathcal{Q}}_{H}$, including all the levels consistent with the Debye length in the plasma and accounting for the lowering of ionization potential, ${\mathcal{Q}}_{H}^{{\lambda}_{D}}$, and considering the additional ionization lowering, ${\mathcal{Q}}_{H}^{\prime}$. (

**b**) Corresponding temperature behavior of the Debye length, self-consistently determined in the three cases.

**Figure 3.**Isotherms of the ionization degree of atomic hydrogen plasma as a function of total electron density in the plasma ${n}_{e}$, obtained neglecting (dotted lines) and including (markers and lines) the effect of electronic levels, compared with theoretical results in the literature (dashed lines) [7]. Experimental results for a hydrogen arc at a pressure of 10 atm [42] are also reported (squares).

**Figure 4.**(

**a**) Pressure isochors of a hydrogen plasma as a function of temperature for two different values of the total electron density (dashed lines) compared to results in the literature (closed squares) [41]. (

**b**) Internal energy of the atomic hydrogen plasma as a function of the total electron density at the temperature T = 5 × 10${}^{4}$ K (dashed line) compared with results obtained in path integral Monte Carlo (PIMC) simulation [43]. (

**c**) Helmholtz free energy as a function of temperature for two different values of the total electron density (dashed lines) and corresponding relative Debye-Hückel corrections, $\Delta A/A$ (dotted lines).

**Figure 5.**Electrical conductivity of an atomic hydrogen plasma for different temperatures as a function of the total electron density. The results (solid lines) obtained neglecting the additional lowering of ionization potential are compared with (

**a**) data in literature (dashed lines) [49], (dashed-dotted lines) [37], and with (

**b**) calculation including the additional lowering.

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Colonna, G.; Laricchiuta, A.
Thermodynamic and Transport Properties of Equilibrium Debye Plasmas. *Entropy* **2020**, *22*, 237.
https://doi.org/10.3390/e22020237

**AMA Style**

Colonna G, Laricchiuta A.
Thermodynamic and Transport Properties of Equilibrium Debye Plasmas. *Entropy*. 2020; 22(2):237.
https://doi.org/10.3390/e22020237

**Chicago/Turabian Style**

Colonna, Gianpiero, and Annarita Laricchiuta.
2020. "Thermodynamic and Transport Properties of Equilibrium Debye Plasmas" *Entropy* 22, no. 2: 237.
https://doi.org/10.3390/e22020237