Non-Linear Ablative Rayleigh-Taylor Instability: Increased Growth due to Self-Generated Magnetic Fields

Abstract

The growth rate of the non-linear ablative Rayleigh-Taylor (RT) instability is enhanced by magnetic fields self-generated by the Biermann battery mechanism; a scaling for this effect with perturbation height and wavelength is proposed and validated with extended-magnetohydrodynamic simulations. The magnetic flux generation rate around a single RT spike is found to scale with the spike height. The Hall Parameter, which quantifies electron magnetization, is found to be strongly enhanced for short wavelength spikes due to Nernst compression of the magnetic field at the spike tip. The impact of the magnetic field on spike growth is through both the suppressed thermal conduction into the unstable spike and the Righi-Leduc heat-flow deflecting heat from the spike tip to the base. Righi-Leduc is found to be the dominant effect for small Hall Parameters, while suppressed thermal conduction dominates for large Hall Parameters. These results demonstrate the importance of considering magnetic fields in all perturbed inertial confinement fusion hot-spots.

References in corpus (10)

• On Validating an Astrophysical Simulation Code
• The evolution of magnetic tower jets in the laboratory
• Preserving Monotonicity in Anisotropic Diffusion
• The Role of Mixing in Astrophysics
• Symmetric set of transport coefficients for collisional magnetized plasma
• Magnetized Ablative Rayleigh-Taylor Instability in 3-D
• Biermann Battery Magnetic Fields in ICF Capsules: Total Magnetic Flux Generation
• Measuring magnetic flux suppression in high-power laser-plasma interactions
• Enhancement of Pressure Perturbations in Ablation due to Kinetic Magnetised Transport Effects under Direct-Drive ICF relevant conditions
• Magnetic field generation from composition gradients in inertial confinement fusion fuel