Applications of Lie-Transform Methods in Plasma Physics

布里扎德 研究者开发和分析低频等离子体动力学和流体模型，用于研究强磁化非均匀等离子体的长时间尺度传输过程和全球磁流体动力学行为。 他使用Lie transformmethods来制定模型。 这提供了一定的技术优势，无论是分析和计算，在揭示全球非线性等离子体动力学的重要特征。 天体物理等离子体，空间等离子体，和“实验室”等离子体中看到的磁和惯性约束等离子体systemsshare某些基本属性，是不是很好理解。 部分原因是因为等离子体由大量运动中的带电粒子组成，而等离子体的集体行为是所有这些粒子之间相互作用的结果。 这些相互作用发生在非常小的长度尺度和时间尺度上，并在更大的尺度上表现出来。 研究者开发了形式化的方法来有效地描述等离子体在多个尺度上的行为，从而更好地理解等离子体的基本性质。

Brizard The investigator develops and analyzes low-frequency plasmakinetic and fluid models for studying the long-time-scaletransport processes and global magnetohydrodynamic behavior ofstrongly magnetized imhomogeneous plasmas. He uses Lie transformmethods to formulate the models. This provides certain technicaladvantages, both analytically and computationally, in exposingimportant features of global nonlinear plasma dynamics. Astrophysical plasmas, space plasmas, and "laboratory"plasmas seen in magnetic and inertial confinement plasma systemsshare certain fundamental properties that are not wellunderstood. In part this is because a plasma consists of a greatmany charged particles in motion, and the plasma's collectivebehavior is the result of interactions between all theseparticles. These interactions take place on very small lengthscales and time scales, and show themselves on larger scales. Theinvestigator develops formal methods to produce effectivedescriptions of the behavior of plasmas across multiple scales.This leads to a better understanding of fundamental properties ofplasmas.