Low ion-velocity slowing down in a strongly magnetized plasma target

Abstract

An ion projectile stopping at a velocity smaller than the target electron thermal velocity in a strong magnetic field is investigated within a different diffusion formulation, based on Green-Kubo integrands evaluated in magnetized one component plasma models, respectively framed on target ions and electrons. Analytic expressions are reported for slowing down orthogonal and parallel to an arbitrary large magnetic field, which are free from the usual uncertainties plaguing the standard perturbative derivations. Magnetic and target temperature dependences of the low velocity slowing down are thoroughly detailed for dense plasmas of fast ignition concern and ultracold plasmas envisioned for ion beam cooling, as well.

Equilibrium and transport in a strongly coupled and magnetized ultra-cold plasma

“…The factor (35) which is nonlinear with respect to Z accounts for the nonlinear coupling ion and the surrounding plasma [18]. However for highly charged ions with Z ≫ 1 this factor increases linearly with Z, P(Z) = (4/13)Z, while more rigorous treatment shows that at strong ion-plasma coupling the energy loss of an ion scales with its charge approximately like Z 1.5 .…”

“…(21), (27) and (14), an inspection shows that at vanishing damping (γ = 0) the self-diffusion coefficient obtained from these formulas coincides with the ionic charge number square Z 2 in Eq. (21) replaced by the quantity Z 2 → P(Z), where [18] …”

“…in terms of an equilibrium canonical average of the two-point autocorrelation function for fluctuating electric fields [16][17][18]. At this juncture we need to frame the GKI in suitable magnetized one component plasma (OCP) models [16,17] for the transverse and parallel geometry, respectively.…”

Influences of finite Larmor radius on wake effects and stopping power for proton moving in magnetized two-component plasma

“…Since magnetic fields are experimentally available in the MCF and electron cooling processes, many theoretical calculations of the stopping power in a magnetized plasma have been presented [12,[15][16][17][18][19][20][21][22][23][24]. When a charged particle penetrates into a magnetic field, it suffers the Lorentz force only in the direction across the magnetic field.…”

“…In Refs. [23,24], the stopping of an ion projectile at low velocity in a strong magnetic field is investigated within a full hydrodynamic treatment including FLR effects in target ions. For a high velocity incident particle, the energy loss is mainly due to collisions with plasma electrons.…”