Effective potentials of interactions and thermodynamic properties of a nonideal two-temperature dense plasma

In this article a dense nonideal, nonisothermal plasma is considered. New effective screened interaction potentials taking into account quantum-mechanical diffraction and symmetry effects have been obtained. The effective potential of the ion-ion interaction in plasmas with a strongly coupled ion subsystem and semiclassical electron subsystem is presented. Based on the obtained effective potentials the analytical expressions for internal energy and the pressure of the considered plasma were obtained.

Figure 1

Interaction potentials at $\mathrm{\Gamma }=0.8,r_S=2:$ Solid line corresponds to (9) for $i-i$ pairs; Dashed-dotted line is the Debye potential; Dashed line—Eq. (8); Dotted line micropotential (1).

Figure 2

Interaction potentials at $\mathrm{\Gamma }=0.9,r_S=1:$ Solid line corresponds to (15) for $i-i$ pairs; Dashed-dotted line, the Debye potential; Dashed line—Eq. (15) for $e-e$ pair; Dotted line—micropotential (1).

Figure 3

Effective potentials of interaction between electrons and ions at $\mathrm{\Gamma }=0.8,r_S=2$: Solid line—Eq. (10); Dashed-dotted line-the Debye potential; Dashed line, micropotential (1).

Figure 4

Effective potentials of interaction between electrons and ions at $\mathrm{\Gamma }=0.9,r_S=1$: Solid line—Eq. (15); Dashed-dotted line-the Debye potential; Dashed line-micropotential (1).

Figure 5

Effective potentials of ion interaction at ${\mathrm{\Gamma }}_{ii}=4,{\mathrm{\Gamma }}_{ee}=0.8,r_S=1:$ Solid line—Eq. (17); Dashed line—the Debye potential.

Figure 6

Effective potentials of ion interaction at ${\mathrm{\Gamma }}_{ii}=4,r_S=2,{\mathrm{\Gamma }}_{ee}=\sqrt{\pi r_S/6}:$ Solid line—Eq. (18); Dashed line—the Debye potential.

Figure 7

Effective interaction potentials for ${\mathrm{\Gamma }}_{ii}=10,{\mathrm{\Gamma }}_{ee}=0.8,r_S=0.4:$ Solid line—the effective potential of ion interaction, Eq. (17); Dashed line—the Debye potential.

Figure 8

Internal energy of isothermal hydrogen plasma at $T=125000\mathrm{K}$.

Figure 9

Correlation energy of a hydrogen plasma.

Figure 10

Equation of state for a hydrogen plasma at $T=100000\mathrm{K}$.

Figure 11

Excess part of equation of state for a hydrogen plasma.

Figure 12

Correlation energy of isothermal hydrogen plasma at $r_s=3$. Solid line corresponds to the results of Sec. 3a, dashed line is obtained according to (30), dashed-dotted line presents results of the Debye theory.

Figure 13

Excess part of equation of state for hydrogen plasma at $r_s=1$. The solid line corresponds to the results of Sec. 3b, the dashed line is obtained according to (32), the dashed-dotted line presents results of the Debye correction. Circles correspond to the results of Riemann et al. [63]. Squares denote restricted path integral Monte Carlo calculations by Pierleoni et al. [64].

Figure 14

Correlation energy of nonisothermal hydrogen plasma at $r_s=3$ and $T_e=250000\mathrm{K}$. Solid line corresponds to the results of Sec. 3a, dashed line is obtained according to (30), dashed-dotted line presents results of the Debye theory.

Figure 15

Excess part of the equation of state for nonisothermal hydrogen plasma at $r_s=3$. Solid line corresponds to the results of Sec. 3b, dashed line is obtained according to (32), dashed-dotted line presents results of the Debye correction.

Figure 16

Pair correlation function for ion-ion pare (12), $r_S=1$; solid line $\mathrm{\Gamma }=0.1$, dashed line $\mathrm{\Gamma }=0.25$; Dash-dotted line $\mathrm{\Gamma }=0.5$; dotted line $\mathrm{\Gamma }=0.7$.

Figure 17

Pair correlation function for electron-electron pare (13) neglecting symmetry effect, $r_S=1$; solid line $\mathrm{\Gamma }=0.1$, dashed line $\mathrm{\Gamma }=0.25$; dash-dotted line $\mathrm{\Gamma }=0.5$; dotted line $\mathrm{\Gamma }=0.7$.

Figure 18

Pair correlation function for an electron-electron pare (13) taking into account symmetry effect $r_S=1$; solid line $\mathrm{\Gamma }=0.1$, dashed line $\mathrm{\Gamma }=0.25$; dashed-dotted line $\mathrm{\Gamma }=0.5$; dotted line $\mathrm{\Gamma }=0.7$.

Figure 19

Pair correlation function for an electron-ion pare (14), $r_S=1$; solid line $\mathrm{\Gamma }=0.1$, dashed line $\mathrm{\Gamma }=0.25$; dash-dotted line $\mathrm{\Gamma }=0.5$; dotted line $\mathrm{\Gamma }=0.7$.

Figure 20

Pair correlation function for an electron-ion pare (14), $\mathrm{\Gamma }=0.5, r_S=1$; solid line effective potential (14), dashed line Debye potential.

Figure 21

Pair correlation function for an electron-electron pare (14), $\mathrm{\Gamma }=0.5, r_S=1$; solid line effective potential (14), dashed line Debye potential.

Figure 22

Structural factor for an electron-electron pare (dashed line), an ion-ion pare (solid line), and an electron-ion pare (dash-dotted line); $T_e/T_i=1, \mathrm{\Gamma }=0.5, r_S=1$.

Figure 23

Structural factor for an electron-electron pare (dashed line), an ion-ion pare (solid line), and an electron-ion pare (dashed-dotted line); $T_e/T_i=2, \mathrm{\Gamma }=0.5, r_S=1$.

Figure 24

Structural factor for an electron-electron pare (dashed line), an ion-ion pare (solid line), and an electron-ion pare (dash-dotted line); $T_e/T_i=0.5, \mathrm{\Gamma }=0.5, r_S=1$.