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Theory of Tokamak Transport: New Aspects for Nuclear Fusion Reactor Design

ISBN: 978-3-527-40625-8
252 pages
February 2006
Theory of Tokamak Transport: New Aspects for Nuclear Fusion Reactor Design (3527406255) cover image


In this new approach for a consistent transport theory in nuclear fusion processes Leslie Woods draws on over 40 years of fusion research to directly compare theoretical findings with experimental results, while taking into account recently discovered phenomena. This is thus the first book to find theoretical explanations to the sometimes-puzzling tokamak observations.
Following a look at the quest for fusion power, the author goes on to examine tokamak magnetic fields and energy losses, as well as plasma flow and loop voltage. There is also a discussion of the technical constraints on the recently announced ITER design.
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Table of Contents

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
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Author Information

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.
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