Coulomb collisions in plasmas are typically modeled using the Boltzmann collision operator, or its variants, which apply to weakly magnetized plasmas in which the typical gyroradius of particles significantly exceeds the Debye length. Conversely, O'Neil has developed a kinetic theory to treat plasmas that are so strongly magnetized that the typical gyroradius of particles is much smaller than the distance of closest approach in a binary collision. Here, we develop a generalized collision operator that applies across the full range of magnetization strength. To demonstrate novel physics associated with strong magnetization, it is used to compute the friction force on a massive test charge. In addition to the traditional stopping power component, this is found to exhibit a transverse component that is perpendicular to both the velocity and Lorentz force vectors in the strongly magnetized regime, as was predicted recently using linear response theory. Good agreement is found between the collision theory and linear response theory in the regime in which both apply, but the new collision theory also applies to stronger magnetization strength regimes than the linear response theory is expected to apply in.

中文翻译：

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应用于摩擦的强磁化等离子体的广义玻尔兹曼动力学理论

等离子体中的库仑碰撞通常使用 Boltzmann 碰撞算子或其变体进行建模，这些算子适用于弱磁化等离子体，其中粒子的典型回旋半径显着超过德拜长度。相反，奥尼尔开发了一种动力学理论来处理强烈磁化的等离子体，以至于粒子的典型回旋半径远小于二元碰撞中最近接近的距离。在这里，我们开发了一个适用于整个磁化强度范围的广义碰撞算子。为了演示与强磁化相关的新物理学，它被用于计算大量测试电荷上的摩擦力。除了传统的制动力组件，正如最近使用线性响应理论预测的那样，这被发现在强磁化状态下表现出垂直于速度和洛伦兹力矢量的横向分量。碰撞理论和线性响应理论在两者都适用的范围内找到了很好的一致性，但新的碰撞理论也适用于比线性响应理论预期应用更强的磁化强度范围。