Spectrum Cascade in Electrostatic Plasma Turbulence

为了研究具有磁剪切的圆柱形等离子体中电阻漂移波和交换湍流的特性，将Hasegawa-Wakatani方程推广到包含平均磁曲率的情况。在三维非线性模拟中，线性不稳定波动在由于电阻率、粘性和颗粒扩散引起的耗散的作用下饱和。对于饱和定常湍流能量，计算了涡度拟能谱和交叉螺旋度谱，并与解析理论进行了比较。当它很小时，在密度和势涨落之间施加Boltzmann关系，模型方程简化为Hasegawa-Mima方程。然后能量逆级联，涡度拟能正级联。当电阻率非常大时，动能、内能、涡度拟能和交叉螺旋度在无耗散极限下分别守恒。然后动能反向级联，内能正常级联。我们得到了很好的协议之间的数值结果和解析理论。

In order to study characteristics of resistive drift wave and interchange turbulence in a cylindrical plasma with magnetic shear, we extended Hasegawa-Wakatani equations to include the average magnetic curvature. In the three-dimensional nonlinear simulation the linearly unstable fluctuations saturate under the effect of dissipation due to resistivity, viscosity and particle diffusion. For the saturated stationary turbulence energy, enstrophy and cross-helicity spectra are calculated and compared with the analytic theory.An important parameter in the simulation is resistivity. When it is negligibly small, the Boltzmann relation is imposed between the density and potential fluctuation and the model equations reduced to Hasegawa-Mima equation. Then the energy cascades inversely and the enstrophy cascades normally. When the resistivity is extremely large, kinetic energy, internal energy, enstrophy and cross-helicity conserve separately in the dissipationless limit. Then the kinetic energy cascades inversely and the internal energy cascades normally. We obtain good agreement between the numerical results and the analytic theory.