Plasma Science and Fusion Center, Massachusetts Institute of Technology, Cambridge, Massachusetts 02139, USA.
Phys Rev Lett. 2011 May 13;106(19):195002. doi: 10.1103/PhysRevLett.106.195002. Epub 2011 May 9.
The gyrokinetic linearized exact Fokker-Planck collision operator is obtained in a form suitable for plasma gyrokinetic equations, for arbitrary mass ratio. The linearized Fokker-Planck operator includes both the test-particle and field-particle contributions, and automatically conserves particles, momentum, and energy, while ensuring non-negative entropy production. Finite gyroradius effects in both field-particle and test-particle terms are evaluated. When implemented in gyrokinetic simulations, these effects can be precomputed. The field-particle operator at each time step requires the evaluation of a single two-dimensional integral, and is not only more accurate, but appears to be less expensive to evaluate than conserving model operators.
在任意质量比下，得到了适合等离子体回旋动力学方程的回旋动力学线性精确福克-普朗克碰撞算子。线性化的福克-普朗克算子包括试探粒子和场粒子的贡献，自动守恒粒子、动量和能量，同时确保非负的熵产生。评估了场粒子和试探粒子项中的有限回旋半径效应。在回旋动力学模拟中实施时，可以预先计算这些效应。每个时间步的场粒子算子仅需要评估一个二维积分，不仅更准确，而且似乎比守恒模型算子的评估成本更低。
