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Shock wave formation in radiative plasmas.

F Garcia-Rubio1, V Tranchant2, E C Hansen2

  • 1Laboratory for Laser Energetics, Rochester, New York 14623, USA and Department of Mechanical Engineering, <a href="https://ror.org/022kthw22">University of Rochester</a>, Rochester, New York 14627, USA.

Physical Review. E
|July 18, 2024
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Summary
This summary is machine-generated.

This study investigates weak shocks in radiative media, revealing that they typically become optically thick over time. Thin solutions are transient, linked to overdense layers, with scaling laws provided for shock evolution.

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Area of Science:

  • Plasma Physics
  • Astrophysical Fluid Dynamics
  • Computational Physics

Background:

  • Radiative shock structure is complex, involving alternating optically thick/thin regions.
  • Traditional studies often use a stationary framework, limiting understanding of shock evolution.
  • Weak shock formation in radiative plasmas requires dynamic analysis.

Purpose of the Study:

  • To theoretically investigate the temporal evolution of weak shocks in radiative media.
  • To analyze weak shock formation when two radiative plasmas with different pressures interact.
  • To derive conditions for optically thick and thin solutions and provide scaling laws.

Main Methods:

  • Application of a reductive perturbative method to derive a Burgers-type equation.
  • Analysis of perturbed variables, including the radiation field.
  • Support from FLASH simulations for theoretical findings.

Main Results:

  • A Burgers-type equation governs the temporal evolution of weak shocks and radiation.
  • Optically thick solutions are asymptotic for weak shocks below a Boltzmann number threshold.
  • Optically thin solutions are transitory and depend on an overdense layer in compressed material.

Conclusions:

  • Derived conditions for optically thick/thin solutions based on shock strength and Boltzmann number.
  • Established that weak shocks tend towards optically thick states over time.
  • Provided scaling laws for shock formation time and width, validated by simulations and useful for code benchmarking.