Stopping Power Enhancement From Discrete Particle-Wake Correlations in High Energy Density Plasmas

Abstract

Three-dimensional (3D) simulations of electron beams propagating in high energy density (HED) plasmas using the quasi-static Particle-in-Cell (PIC) code QuickPIC demonstrate a significant increase in stopping power when beam electrons mutually interact via their wakes. Each beam electron excites a plasma wave wake of wavelength $\sim 2\pi c/{\omega }_{pe}$, where $c$ is the speed of light and ${\omega }_{pe}$ is the background plasma frequency. We show that a discrete collection of electrons undergoes a beam-plasma like instability caused by mutual particle-wake interactions that causes electrons to bunch in the beam, even for beam densities $n_b$ for which fluid theory breaks down. This bunching enhances the beam's stopping power, which we call "correlated stopping," and the effect increases with the "correlation number" $N_b\equiv n_b(c/{\omega }_{pe}{)}^3$. For example, a beam of monoenergetic 9.7 MeV electrons with $N_b=1/8$, in a cold background plasma with $n_e=10^{26}$ cm${}^{-3}$ (450 g cm${}^{-3}$ DT), has a stopping power of $2.28\pm 0.04$ times the single-electron value, which increases to $1220\pm 5$ for $N_b=64$. The beam also experiences transverse filamentation, which eventually limits the stopping enhancement.

10 pages, 8 figures, accepted by Physical Review E

References in corpus (4)

• Implementation of a hybrid particle code with a PIC description in r-z and a gridless description in $\varphi$ into OSIRIS
• Controlling the Numerical Cerenkov Instability in PIC simulations using a customized finite difference Maxwell solver and a local FFT based current correction
• On numerical errors to the fields surrounding a relativistically moving particle in PIC codes
• Enhanced Stopping of Macro-Particles in Particle-in-Cell Simulations