AI 中文总结
研究具有剪切流的等离子体等温动力学平衡中静电势与速度分布关系，证明相关恒等式，通过简单箍缩说明较弱磁化及不同流向剪切的统计特征，还给出初始化动力学模拟的方法。
AI 中文摘要
在具有剪切流的等离子体等温动力学平衡中，静电势是速度分布的累积量生成函数，编码所有非麦克斯韦统计信息。因此，在多项式形式的通量函数平衡流中，只有线性流是允许的，其他平衡剪切流的所有阶累积量都不为零。该恒等式在剪切流螺旋箍缩中得到证明，并专门应用于Z箍缩、θ箍缩和哈里斯片。一个简单的剪切流贝内特箍缩说明了主要结果，即较弱的磁化产生更多非麦克斯韦特征，同向和反向流剪切具有不同的统计信息。该恒等式还产生了一种初始化动力学模拟的方法。
英文摘要
In isothermal kinetic equilibrium of a plasma with sheared flow, the electrostatic potential is the cumulant generating function of the velocity distribution, encoding all non-Maxwellian statistics. Consequently, of the polynomial-form flux-function equilibrium flows, only the linear one is admissible, and every other equilibrium sheared flow has non-zero cumulants to all orders. The identity is shown for a sheared-flow screw pinch and specialized to the Z pinch, theta pinch, and Harris sheet. A simple sheared-flow Bennett pinch illustrates the principal results, namely weaker magnetization yields more non-Maxwellian features, and co- and counter-current flow shear have distinct statistics. The identity also yields a method for initializing kinetic simulations.
Comments5 pages, 1 figure (3 panels)
