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Self-generated magnetic fields accelerate Rayleigh-Taylor (RT) instability growth in fusion. This study proposes and validates a scaling law for this magnetic field effect, crucial for inertial confinement fusion hot spots.

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Area of Science:

  • Plasma Physics
  • Magnetohydrodynamics
  • Astrophysical Phenomena

Background:

  • The ablative Rayleigh-Taylor (RT) instability is a key process in inertial confinement fusion (ICF) and astrophysical systems.
  • Self-generated magnetic fields, particularly from the Biermann battery mechanism, are increasingly recognized as significant factors influencing plasma dynamics.
  • Understanding the interplay between RT instability and magnetic fields is crucial for predicting and controlling ICF target performance.

Purpose of the Study:

  • To investigate the influence of self-generated magnetic fields on the growth rate of nonlinear ablative RT instability.
  • To develop and validate a scaling law for the magnetic field's effect on RT instability growth with perturbation height and wavelength.
  • To elucidate the physical mechanisms through which magnetic fields impact heat transport and instability evolution.

Main Methods:

  • Extended-magnetohydrodynamic (MHD) simulations were employed to model the RT instability in the presence of self-generated magnetic fields.
  • Analysis focused on the magnetic flux generation, Hall parameter variations, and heat transport effects (thermal conduction and Righi-Leduc).
  • The proposed scaling law was validated against simulation results.

Main Results:

  • Magnetic fields generated by the Biermann battery mechanism were found to enhance the RT instability growth rate.
  • A scaling law for this enhancement was proposed, correlating with perturbation height and wavelength.
  • The Hall parameter was significantly enhanced for short-wavelength spikes due to Nernst compression.
  • Magnetic fields impacted spike growth by suppressing thermal conduction and deflecting heat via the Righi-Leduc effect.
  • The dominant magnetic field effect shifted from Righi-Leduc (small Hall parameters) to suppressed thermal conduction (large Hall parameters).

Conclusions:

  • Self-generated magnetic fields play a critical role in accelerating RT instability growth.
  • The proposed scaling law provides a framework for understanding magnetic field effects on RT instability in ICF.
  • Considering magnetic field physics, including thermal transport modifications, is essential for accurate modeling of perturbed ICF hot spots.