论文标题
电子回旋从漂移不稳定性：粒子中的粒子和连续vlasov模拟的比较
The electron cyclotron drift instability: a comparison of particle-in-cell and continuum Vlasov simulations
论文作者
论文摘要
通过粒子中的粒子（PIC）和连续vlasov仿真方法研究了电子转基因漂移不稳定性（ECDI）的线性和非线性特性，该方法与方位角长度（在$ e \ times b $中的影响）对模拟对仿真的影响有关。长度为长度的仿真结果（17.82 cm $ = 627 \; v_d/ω_{Ce} $，其中$Ω__{Ce} $是电子环节频率，$ v_d $是$ e \ e \ e \ e \ e \ e \ times b $ drift the电子的$ e \ times b $ drifters the Electors，对于高分辨率而言，高分辨率是一个高分辨率的空间。对于具有较长方位角长度的模拟，PIC模拟的线性生长速率显示出与该理论的差异，而Vlasov模拟的线性生长速率仍然接近该理论。在非线性方案中，在具有足够大的方位角长度的PIC和Vlasov模拟中显示了反向级联反应。然而，在具有短方位长的模拟中，几乎没有观察到反级联反向。取而代之的是，具有短方位角长度的PIC模拟（0.5625 cm $ = 19.8 \; v_d/ω__{ce} $）表现出基本连续的非线性分散体，类似于离子 - 涡流理论所预测的。结果表明，在PIC和VLASOV模拟中，逆级联反应与相空间中电子结构的形成和合并一致。但是，与VLASOV模拟相比，此过程在PIC模拟中终止了不同的终止。与弗拉索夫模拟相比，在PIC模拟中观察到ECDI波动的幅度较大，从而导致电子加热和异常电流。这表明PIC模拟的统计噪声可能有助于先前研究中观察到的极端电子加热。
The linear and nonlinear characteristics of the electron cyclotron drift instability (ECDI) have been studied through the particle-in-cell (PIC) and continuum Vlasov simulation methods in connection with the effects of the azimuthal length (in the $E \times B$ direction) on the simulations. Simulation results for a long azimuthal length (17.82 cm $= 627\;v_d/ω_{ce}$, where $ω_{ce}$ is the electron cyclotron frequency and $v_d$ is the $E\times B$ drift of the electrons) are reported, for which a high resolution is achieved in Fourier space. For simulations with a long azimuthal length, the linear growth rates of the PIC simulations show a considerable discrepancy with the theory, whereas the linear growth rate of the Vlasov simulations remains close to the theory. In the nonlinear regime, the inverse cascade is shown in both PIC and Vlasov simulations with a sufficiently large azimuthal length. In simulations with a short azimuthal length, however, the inverse cascade is barely observed. Instead, the PIC simulations with a short azimuthal length (0.5625 cm $=19.8\;v_d/ω_{ce}$) show an essentially continuous nonlinear dispersion, similar to what is predicted by the ion-sound turbulence theory. It is shown that, in the PIC and Vlasov simulations, the inverse cascade coincides with the formation and merging of electron structures in phase space. This process, however, terminates differently in the PIC simulations compared with the Vlasov simulations. Larger amplitudes of ECDI fluctuations are observed in the PIC simulations compared with the Vlasov simulations, leading to an intensified electron heating and anomalous current. This suggests that the statistical noise of PIC simulations might contribute to the extreme electron heating that has been observed in previous studies.
