Dynamic interaction potential and the scattering cross sections of the semiclassical plasma particles

Abstract

The dynamic model of the charged particles interaction in non-ideal semiclassical plasma is presented. This model takes into account the quantum mechanical diffraction effect and the dynamic screening effect. On the basis of the dynamic interaction potential, the electron scattering cross sections are investigated. Comparison with the results obtained on the basis of other models and conclusions were made.

Influence of dynamic screening on the conductivity of hydrogen plasma including electron–electron collisions

“…It can be seen that with a decrease in the density parameter, the dynamical electrical conductivity increases. The results on the dynamical conductivity based on the effective potential with dynamic screening are in agreement with MD data by Sjörgen et al [35] and with data obtained on the basis of the Debye potential and LRT theory in the one-moment approach by Berkowsky et al [36] To check calculations, we applied the sum rules (19) for the real part of the dynamic electrical conductivity. Note also that an additional scattering mechanism as the electron-electron interaction would lead to the lowering of the two-moment conductivity.…”

“…The effective potential [17][18][19][20][21] of electron-ion (e-i) and electron-electron (e-e) interactions, taking into account the effects of diffraction and static (S) or dynamic (D) screening, can be written as [17][18][19][20][21][22][23] or 0 = D (1 + 2 ∕ 2 Th ) 1∕2 (dynamic screening), [24][25][26][27][28] is the relative velocity of the colliding particles, and Th = (k B T/m e ) 1/2 is the thermal velocity. r D = (k B T/[8 e 2 n e ]) 1/2 is the Debye length.…”

“…Another approach is the relaxation time approximation performed by several authors, for example, Brooks, [13] Ziman, [14] Lee and More [15] , and Dharma-wardana. [18] It was shown that inclusion of this renormalization factor leads to an increase of conductivity in comparison with that calculated without the renormalization factor (one-moment approach).…”

Optical reflectivity based on the effective interaction potentials of xenon plasma

“…The effective Ramazanov–Dzhumagulova (RD) potential of electron–ion interactions, taking into account the effects of static or dynamic screening and diffraction, can be written as …”

“…So, we use the effective interaction potentials that take into account the quantum diffraction effect as well as the static and dynamic screening. [28][29][30][31][32][33]…”