Theory of Tokamak Transport

Leslie C. Woods was elected a Fellow of Balliol College, Oxford in 1961, and researched the theory of magnetically-confined hot plasmas with a consultancy at Culham Laboratory. From 1970 until 1990 he was Professor of Mathematics (Theory of Plasma) at the University of Oxford and from 1984-1989 Chairman of the Mathematical Institute. In 1985/1986 he was in Muscat to create a mathematics department as Foundation Professor of Mathematics. Professor Woods took retirement in 1990 and since then has undertaken research in applications of thermodynamics kinetic theory and plasma physics.

1 The quest for fusion power
1.1 Tokamak machines
1.2 Basic tokamak variables
1.3 Global confinement times
1.4 Heating
1.5 Electron energy confinement time
2 Tokamak magnetic fields
2.1 Axisymmetric toroidal equilibrium
2.2 Equilibrium in a circular torus
2.3 Particle trapping in magnetic fields
2.4 Trapping in tokamak magnetic fields
2.5 Diffusivity of trapped particles
3 Energy transport in Tokamaks
3.1 Banana orbits
3.2 Thermal conductivity
3.3 Classical treatment of particle transport
3.4 Neoclassical theory and its validity
3.5 Second-order transport
4 Energy losses from Tokamaks
4.1 Low poloidal beta
4.2 High poloidal beta
4.2.1 Oscillatory temperature profiles
4.3 The L and H modes
4.4 Thermal transport in the ion fluid
4.5 Comparison of experiment and theory
4.6 Profile instabilities
5 Plasma flow and loop voltage
5.1 Flow of plasma across strong magnetic fields
5.2 Particle transport
5.3 The toroidal current and voltage relationship
5.4 Toroidal velocities
6 Thermal Instabilities
6.1 Sawtooth oscillations
6.2 Disruptions
6.3 MHD instabilities
6.4 L/H transition, ELMS, Snakes, PEPS and MARFES
6.5 Minimum reactor size for ignition
Appendix: Plasma Physics Notes
Index