Compressing turbulence and sudden viscous dissipation with compression-dependent ionization state

Abstract

Turbulent plasma flow, amplified by rapid 3D compression, can be suddenly dissipated under continuing compression. This effect relies on the sensitivity of the plasma viscosity to the temperature, $\mu \sim T^{5/2}$. The plasma viscosity is also sensitive to the plasma ionization state. We show that the sudden dissipation phenomenon may be prevented when the plasma ionization state increases during compression, and demonstrate the regime of net viscosity dependence on compression where sudden dissipation is guaranteed. Additionally, it is shown that, compared to cases with no ionization, ionization during compression is associated with larger increases in turbulent energy, and can make the difference between growing and decreasing turbulent energy.

10 pages, 3 figures

References in corpus (4)

• Numerical demonstration of fluctuation dynamo at low magnetic Prandtl numbers
• Drive Asymmetry and the Origin of Turbulence in an ICF Implosion
• Magnetic Prandtl number dependence of kinetic to magnetic dissipation ratio
• Sudden viscous dissipation of compressing turbulence

Cited by in corpus (8)

• Dedalus: A Flexible Framework for Numerical Simulations with Spectral Methods
• Turbulent stagnation in a z-pinch plasma
• Static and dynamic properties of multi-ionic plasma mixtures
• Modeling turbulent energy behavior and sudden viscous dissipation in compressing plasma turbulence
• Bulk hydrodynamic stability and turbulent saturation in compressing hot spots
• A lower bound on adiabatic heating of compressed turbulence for simulation and model validation
• Self-consistent feedback mechanism for the sudden viscous dissipation of finite-Mach-number compressing turbulence
• Modeling compressed turbulent plasma with rapid viscosity variations