Self-Focusing Dynamics: Streamer Branching and Magnetohydrodynamic Pinching in Plasma Tendrils

Documents

• Computational models (Filamentation.md)
• Snippets
• An introductory educational guide and diagnostic framework for understanding plasma filamentation (The Two Paths of Plasma.md)

Exploration Frontiers

• Tree-Root Streamer Branching -> Full 3D Spatial Field Dynamics
• Bennett Pinch Compression -> m=1 Helical Kink Mode Instability
• m=0 Sausage Instability -> Hall MHD & Two-Fluid Reconnection
• Fluid Continuum Model -> Hybrid Kinetic-Fluid (PIC) Coupling
• Uniform 2D Finite-Difference Grid -> Adaptive Mesh Refinement (AMR)
• Gaussian Viscosity Filter -> Implicit High-Resolution Shock-Capturing (HRSC)

Relevant Documents: Analyze Flux and Laplacian of The Yukawa Potential