A fluid system is derived to describe electrostatic magnetized plasma turbulence at scales somewhat larger than the Larmor radius of a given species. It is related to the Hasegawa–Mima equation, but does not conserve enstrophy, and, as a result, exhibits a forward cascade of energy, to small scales. The inertial-range energy spectrum is argued to be shallower than a $-11/3$ power law, as compared to the $-5$ law of the Hasegawa–Mima enstrophy cascade. This property, confirmed here by direct numerical simulations of the fluid system, may help explain the fluctuation spectrum observed in gyrokinetic simulations of streamer-dominated electron-temperature-gradient driven turbulence (Plunk et al., Phys. Rev. Lett., vol. 122, 2019, 035002), and also possibly some cases of ion-temperature-gradient driven turbulence where zonal flows are suppressed (Plunk et al., Phys. Rev. Lett., vol. 118, 2017, 105002).

中文翻译：

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二维静电磁化等离子体湍流中的熵不守恒和能量的前向级联

派生出一个流体系统来描述比给定物种的拉莫尔半径稍大的尺度上的静电磁化等离子体湍流。它与 Hasegawa-Mima 方程有关，但不守恒熵，因此，在小尺度上表现出前向级联的能量。惯性范围能谱被认为比 $-11/3$ 与幂律相比 $-5$ Hasegawa-Mima 熵级联定律。此处通过流体系统的直接数值模拟证实的这一特性可能有助于解释在以流光为主的电子温度梯度驱动湍流的回转动力学模拟中观察到的波动谱（Plunk等。,物理。牧师莱特。, 卷。122, 2019, 035002)，也可能是一些离子温度梯度驱动湍流的情况，其中区域流受到抑制 (Plunk等。,物理。牧师莱特。, 卷。118, 2017, 105002)。