Chapter 3
Kinetic description of electrons

 3.1 Boltzman equation; Gyro- and Wave-averaging
 3.2 Guiding-Center Drifts and Drift-Kinetic Equation
  3.2.1 Drift Velocity from the Conservation of Canonical Momentum
  3.2.2 Drift Velocity from the Expression of Single Particle Drift
  3.2.3 Case of Circular concentric flux-surfaces
  3.2.4 Steady-State Drift-Kinetic Equation
 3.3 Small drift approximation
  3.3.1 Small Drift Ordering
 3.4 Low collision limit and bounce averaging
  3.4.1 Fokker-Planck Equation
  3.4.2 Drift-Kinetic Equation
 3.5 Flux conservative representation
  3.5.1 General formulation
  3.5.2 Dynamics in Momentum Space
  3.5.3 Dynamics in Configuration Space
  3.5.4 Bounce-averaged flux calculation
  3.5.5 Up to first order term: the Drift Kinetic equation
 3.6 Moments of the distribution function
  3.6.1 Flux-surface Averaging
  3.6.2 Density
  3.6.3 Current Density
  3.6.4 Power Density Associated with a Flux
  3.6.5 Stream Function for Momentum Space fluxes
  3.6.6 Ohmic electric field
  3.6.7 Fraction of trapped electrons
  3.6.8 Runaway loss rate
  3.6.9 Magnetic ripple losses
  3.6.10 RF Wave induced cross-field transport
  3.6.11 Non-thermal bremsstrahlung