Transport Processes in Plasmas with Strong Coulomb Interactions

Derivation of the static structure factor in strongly coupled non-equilibrium plasmas for X-ray scattering studies

“…We see that the chargeecharge structure factors show a lesser degree of correlation (i.e., the peaks are less pronounced) when compared to the ioneion structure factors, which is expected since the chargeecharge structure includes both the ion and the electron response. As discussed by Pavlov [48], the dielectric response and all the transport properties in the plasma can be described in terms of the chargeecharge correlations. On the other hand, the X-ray photons are scattered by the bound and free electrons in the plasma, thus the relevant structure factors are given by the densityedensity correlations S ab (k, u).…”

“…In a screened OCP the effective response of the medium is described by the chargeecharge correlation function [48] S ZZ ðk; uÞ…”

“…Since the chargeecharge response follows from the fluctuation-dissipation theorem [7,48], it must satisfy basic conservation rules, known as sum rules. In particular, conservation of the number of particles requires that [48] …”

Collective and quantum effects on elastic electron–ion collisions in strongly coupled semiclassical plasmas

“…Since this parameter can be both a greater and smaller than the unity in the Glauber approximation, the Glauber method has a wide range of applicability in the potential scattering process. 20 Thus, the eikonal method can be applied for calculation of scattering processes in weakly coupled plasmas as well as in strongly coupled plasmas. Using the cylindrical coordinates such that rϭbϩzn , n being a unit vector perpendicular to the momentum transfer ⌬(ϵk i Ϫk f ), k f is the final wave vector, and the integral over the variable z, the eikonal scattering amplitude f E can be expressed in the following form:…”

Quantum-mechanical effects on low energy electron–ion Coulomb bremsstrahlung in dense high-temperature plasmas

“…Since the investigation of the quantum-mechanical effect on the electron-ion bremsstrahlung process in dense high-temperature plasmas for bϾa Z is the main purpose of this work, the straight-line trajectory method has been retained throughout this paper. In the straight line trajectory method, 19 the position of the projectile electron can be represented as r(t)ϭbϩvt with b"vϭ0, where v is the velocity of the projectile electron. We can set up coordinate axes to compute a so that the electron orbit is in the collision plane; then…”