A number-conserving linear response study of low-velocity ion stopping in a collisional magnetized classical plasma

TL;DR

This paper presents a theoretical study of low-velocity ion stopping power in magnetized collisional plasmas, incorporating collisions via a number-conserving relaxation time approximation and comparing results with collisionless cases and diffusion models.

Contribution

It introduces a collision-inclusive linear response approach to analyze ion stopping in magnetized plasmas, highlighting the effects of collisions and magnetic fields on stopping power.

Findings

Collisions eliminate the anomalous friction seen in collisionless plasmas.

Magnetic field and collision effects significantly alter stopping power.

Results align with diffusion-based models in magnetized plasma contexts.

Abstract

The results of a theoretical investigation on the low-velocity stopping power of the ions moving in a magnetized collisional plasma are presented. The stopping power for an ion is calculated employing linear response theory using the dielectric function approach. The collisions, which leads to a damping of the excitations in the plasma, is taken into account through a number-conserving relaxation time approximation in the linear response function. In order to highlight the effects of collisions and magnetic field we present a comparison of our analytical and numerical results obtained for a nonzero damping or magnetic field with those for a vanishing damping or magnetic field. It is shown that the collisions remove the anomalous friction obtained previously [Nersisyan et al., Phys. Rev. E 61, 7022 (2000)] for the collisionless magnetized plasmas at low ion velocities. One of major objectives of this study is to compare and contrast our theoretical results with those obtained through a novel diffusion formulation based on Dufty-Berkovsky relation evaluated in magnetized one-component plasma models framed on target ions and electrons.