Notes on plasma theory

Non-orthogonal 3D coordinate systems

Magnetic coordinates

Width of magnetic islands

Derivation of the MHD equilibrium equation J x B = grad p

Proof that the entropy production from self-collisions vanishes only for a Maxwellian: the H-theorem [Single species version] [Multi-species version] [Old version]

An introduction to quasisymmetry

Relationships between bounce-averaged drifts and the longitudinal invariant

Sign conventions in VMEC

Relating the VMEC and Garabedian parameterizations of toroidal surfaces

Computing the current profile from the bootstrap current density

Sonic flows in a tokamak or stellarator

Derivation of the drift-kinetic equation

The method of dominant balance

Converting between SI and Gaussian units

More accurate calculation of the neoclassical ion flow in the Pfirsch-Schluter (short-mean-free-path) regime

Proof that quasisymmetry implies omnigenity without magnetic coordinates, Lagrangians, or Hamiltonians

Equivalence of quasisymmetry in Boozer and Hamada angles

A conservation law for ideal MHD associated with the single-particle conservation of canonical angular momentum

Asymptotology essay by Martin Kruskal