Modeling turbulent energy behavior and sudden viscous dissipation in compressing plasma turbulence

TL;DR

This paper introduces a simple, adaptable model for turbulent kinetic energy in compressing plasma turbulence, applicable to inertial confinement fusion and astrophysics, aligning well with simulations across various viscosity scalings.

Contribution

The model accurately predicts turbulent energy behavior during plasma compression without parameter adjustments, accommodating different viscosity dependencies.

Findings

Model agrees with numerical simulations across viscosity scalings

Predicts energy partition between thermal and turbulent energies

Applicable to inertial confinement fusion and astrophysical plasmas

Abstract

We present a simple model for the turbulent kinetic energy behavior of subsonic plasma turbulence undergoing isotropic three-dimensional compression, such as may exist in various inertial confinement fusion experiments or astrophysical settings. The plasma viscosity depends on both the temperature and the ionization state, for which many possible scalings with compression are possible. For example, in an adiabatic compression the temperature scales as $1/L^2$, with $L$ the linear compression ratio, but if thermal energy loss mechanisms are accounted for, the temperature scaling may be weaker. As such, the viscosity has a wide range of net dependencies on the compression. The model presented here, with no parameter changes, agrees well with numerical simulations for a range of these dependencies. This model permits the prediction of the partition of injected energy between thermal and turbulent energy in a compressing plasma.