Asymptotic Kinetic Theories for Magnetized Plasmas

What it is about

You will learn methods for asymptotic, multi-scale reduction of kinetic equations for magnetized plasmas. In the end you will be able to apply non-canonical Hamiltonian and Lagrangian formulations, identify suitable small parameters for a given regime, construct an asymptotic dynamical reduction, and explain the meaning of these formulations for Particle‑In‑Cell models.

What you will be able to do

• Apply multi-scale asymptotic reduction for kinetic equations
• Master non-canonical Hamiltonian and Lagrangian descriptions
• Identify suitable small parameters for specific dynamic regimes
• Perform an asymptotic dynamical reduction in a concrete case
• Understand the role of Hamiltonian-/Lagrangian-formalisms in numerical PIC models

What the module consists of

• VorlesungDelivery of content through lectures, examples and discussion; interactive participation
• Übung/Practice sessionsInitially guided, later increasingly autonomous sessions for deepening and checking understanding

Teaching method

• Interaktive VorlesungenPresentation of content with examples and discussion for independent analysis
• Geführte und später selbständige ÜbungssitzungenDeepening of methods, self-check and work in small groups