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Current-vortex-sheet model of the magnetic Rayleigh-Taylor instability.

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A strong magnetic field stabilizes the Rayleigh-Taylor instability, preventing interface growth. Lower magnetic fields cause oscillations, while very strong fields lead to instability and magnetic field amplification.

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Area of Science:

  • Plasma physics
  • Fluid dynamics
  • Magnetohydrodynamics

Background:

  • The Rayleigh-Taylor instability occurs at the interface of two fluids of different densities accelerated against each other.
  • Magnetic fields can influence fluid instabilities, with applications in astrophysics and fusion energy.

Purpose of the Study:

  • To investigate the effect of a parallel magnetic field on the Rayleigh-Taylor instability.
  • To analyze the linear and nonlinear behavior of the interface using a current-vortex-sheet model.

Main Methods:

  • Linear stability analysis to determine the growth rate of the interface.
  • Numerical computations to simulate the interface evolution for various Alfvén numbers (R_A).

Main Results:

  • The interface is linearly stable for R_A ≤ 1.
  • For R_A ≤ 1, the interface oscillates without intruding; amplitude and period decrease with R_A.
  • For 1 < R_A ≲ 1.5, early growth is followed by oscillations without roll-ups, indicating stabilization.
  • For R_A ≳ 3, the interface is unstable, with distinct evolution patterns and significant magnetic field amplification.

Conclusions:

  • A sufficiently strong magnetic field stabilizes the nonlinear growth of the Rayleigh-Taylor instability.
  • The magnetic field strength significantly alters the instability dynamics and can lead to magnetic field amplification.