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<p>We investigate the parametric decay process in which an electron plasma wave decays into two distinct waves in a quantum GaAs semiconductor plasma. The instability of the low-frequency electrostatic perturbation resulting from the first-order linear interaction of two signals with marginally matching frequencies is studied. The field coupling of linear modes in homogeneous dense plasma consequently evolves nonlinear instability. The notable quantum effects—for example, Bohm potential, Landau-modified degenerate Fermi pressure, and exchange-correlation potential are also pondered and studied for their effects on the parametric growth of the beat wave. Finally, numerical results are plotted to visualize how plasma parameters affect the growth rate.</p>

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Nonlinear decay of a plasma mode in quantum semiconductors

  • 期刊论文

  • 发表日期：

    2026年3月25日

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  • Amir Sohail,
  • Zahid Mir,
  • B. Ramzan,
  • Shahid Idrees,
  • Arshad M. Mirza,
  • A. Rasheed,
  • M. Jamil

摘要

We investigate the parametric decay process in which an electron plasma wave decays into two distinct waves in a quantum GaAs semiconductor plasma. The instability of the low-frequency electrostatic perturbation resulting from the first-order linear interaction of two signals with marginally matching frequencies is studied. The field coupling of linear modes in homogeneous dense plasma consequently evolves nonlinear instability. The notable quantum effects—for example, Bohm potential, Landau-modified degenerate Fermi pressure, and exchange-correlation potential are also pondered and studied for their effects on the parametric growth of the beat wave. Finally, numerical results are plotted to visualize how plasma parameters affect the growth rate.