New 3-D transport theory for toroidal plasmas you can use today.
This book presents a practical framework for understanding how transport and slow evolution arise in a three-dimensional toroidal system. It introduces the Alternating Dimension approach to connect 3-D equilibrium calculations with diffusion-like transport of adiabatic variables, offering a clear path from complex geometry to workable, one-dimensional models.
The work blends theory and computational strategy to explain how flux conservation and pressure balance govern slow transport. It shows how diffusion coefficients can be derived in complete generality and how the 1-D system remains meaningful even in fully 3-D geometries. The methods are framed as a practical tool for researchers working with realistic magnetic configurations, including complex topologies.
- Understand how flux conservation leads to a diffusion-like evolution of adiabatic variables.
- See how eigenvalues determine effective diffusion rates in general 3-D geometries.
- Learn how an alternating-dimension algorithm connects 3-D equilibria to 1-D transport equations.
- Discover implications for numerical equilibrium calculations and transport modeling in toroidal devices.
Ideal for readers working in plasma physics, fusion research, or advanced computational modeling who want a rigorous yet practical view of 3-D transport theory.