Quantum dynamic screening effects on the elastic collisions in strongly coupled semiclassical plasmas

Abstract

The quantum dynamic screening effects on the elastic electron-ion collisions are investigated in strongly coupled semiclassical plasmas. The second-order eikonal analysis with the impact parameter method is applied to obtain the eikonal phase shift and eikonal cross section as functions of the impact parameter, collision energy, thermal energy, de Broglie wavelength, and Debye length. The result shows that the magnitude of the eikonal phase shift decreases with increasing thermal energy. It is also found that the maximum position of the differential eikonal cross section is receded from the collision center with decreasing collision energy. It is also found that the total eikonal cross decreases with increasing de Broglie wavelength, especially for large collision energies. In addition, it is found that the thermal effect suppresses the total eikonal cross section.The elastic electron-ion collision process 1-3 in plasmas has received considerable attention, since this process is the one of the most important atomic processes and also has provided useful information on collision dynamics as well as various plasma parameters. It has been known that the screening interaction potential in weakly coupled classical plasmas would be characterized mostly by the standard Debye-Hückel model 4,5 since the average energy of interaction between plasma particles is smaller than the average kinetic energy of a plasma particle. However, it would be expected that the multiparticle correlation effects caused by simultaneous interactions of many particles should be taken into account to describe the interaction potential in dense strongly coupled plasmas. Recently, the interest in strongly coupled semiclassical plasmas has significantly increased due to the investigations on physical properties of astrophysical dense compact objects and also laser induced inertial confinement fusion plasmas. In these dense semiclassical plasmas, the interaction potential would not be properly described by the standard Debye-Hückel model because of quantum mechanical and strong collective effects of nonideal particle interactions. 6-10 Hence, it would be expected that the physical characteristics of collision in such dense plasmas differ radically from those in weakly coupled classical plasma. In addition, when the velocity of the plasma electron is comparable to or smaller than the velocity of the projectile electron, the conventional static screening model would not be quite reliable, since the projectile polarizes the surrounding plasma particles. Thus, in this paper, we investigate the quantum dynamic screening effects on the electronion collisions in strongly coupled semiclassical plasmas. The second-order eikonal analysis and effective dynamic interaction potential taking into account, the dynamic screening quantum mechanical effects are employed to obtain the eikonal phase shift and eikonal cross section as functions of the impact parameter, collision energy, thermal energy, de Broglie wavelength, and Debye length.For a given interaction pote...

Equations of state, transport properties, and compositions of argon plasma: Combination of self-consistent fluid variation theory and linear response theory

“…Clearly, the static Debye-Hückel potential is reached as the collision velocity v → 0. This is a phenomenological and simple approach to trace the dynamic screening, but it grasps the essential of dynamic screening and has been used to study the elastic collisions [64]. Similar treatment is also applied to the polarization potential, Eq.…”

“…This effective potential has been used to study the Coulomb Bremsstrahlung process [63] and the electron captures [64].…”

Optical reflectivity based on the effective interaction potentials of xenon plasma

“…In Ramazanov et al, the effective Ramazanov–Dzhumagulova–Omarbakiyeva (RDO) potential of electron–atom interaction was presented, considering the effects of static or dynamic screening and diffraction, as where , , , , υ is the relative velocity of the colliding particles, υ Th = ( k B T / m e ) 1/2 is the thermal velocity, and r D = ( k B T /(8 πe 2 n e )) 1/2 is the Debye length. At small velocities of the colliding particles, r 0 tends to the static Debye length, and at high velocities potentials and take into account the effect of dynamic screening.…”

“…where [33,34] is the relative velocity of the colliding particles, Th = (k B T/m e ) 1/2 is the thermal velocity, and r D = (k B T/(8 e 2 n e )) 1/2 is the Debye length. At small velocities of the colliding particles, r 0 tends to the static Debye length, and at high velocities potentials (1) and (2) take into account the effect of dynamic screening.…”

“…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]…”