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Nonlinear turbulence theory and simulation of Buneman instability

机译：非线性湍流理论与布尼曼不稳定性模拟

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摘要

In the present paper, the weak turbulence theory for reactive instabilities, formulated in a companion paper [P. H. Yoon, Phys. Plasmas 17, 112316 (2010)], is applied to the strong electron-ion two-stream (or Buneman) instability. The self-consistent theory involves quasilinear velocity space diffusion equation for the particles and nonlinear wave kinetic equation that includes quasilinear (or induced emission) term as well as nonlinear wave-particle interaction term (or a term that represents an induced scattering off ions). We have also performed one-dimensional electrostatic Vlasov simulation in order to benchmark the theoretical analysis. Under the assumption of self-similar drifting Gaussian distribution function for the electrons it is shown that the current reduction and the accompanying electron heating as well as electric field turbulence generation can be discussed in a self-consistent manner. Upon comparison with the Vlasov simulation result it is found that quasilinear wave kinetic equation alone is insufficient to account for the final saturation amplitude. Upon including the nonlinear scattering term in the wave kinetic equation, however, we find that a qualitative agreement with the simulation is recovered. From this, we conclude that the combined quasilinear particle diffusion plus induced emission and scattering (off ions) processes adequately account for the nonlinear development of the Buneman instability.
机译：在本文中，弱湍流理论用于反应性不稳定性，是在伴随论文中提出的[P． H. Yoon，物理Plasmas 17，112316（2010）]应用于强电子离子两股流（或Buneman）不稳定性。自洽理论涉及粒子的准线性速度空间扩散方程和非线性波动力学方程，其中包括拟线性（或感应发射）项以及非线性波-粒子相互作用项（或代表离子的诱导散射项）。为了进行理论分析基准测试，我们还进行了一维静电Vlasov模拟。在假设电子具有自相似的漂移高斯分布函数的情况下，表明可以以自洽的方式讨论电流的减少，伴随的电子加热以及电场湍流的产生。与弗拉索夫仿真结果进行比较后发现，仅拟线性波动力学方程不足以说明最终的饱和振幅。通过将非线性散射项包括在波动方程中，我们发现与模拟的定性吻合得以恢复。由此得出的结论是，组合的拟线性粒子扩散加上诱导的发射和散射（离解离子）过程充分说明了Buneman不稳定性的非线性发展。

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