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Preface | |
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Acknowledgements | |
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Units | |
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Fusion power | |
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Fusion and world energy | |
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Introduction | |
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The existing energy options | |
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The role of fusion energy | |
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Overall summary and conclusions | |
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Bibliography | |
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The fusion reaction | |
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Introduction | |
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Nuclear vs. chemical reactions | |
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Nuclear energy by fission | |
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Nuclear energy by fusion | |
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The binding energy curve and why it has the shape it does | |
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Summary | |
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Bibliography | |
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Problems | |
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Fusion power generation | |
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Introduction | |
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The concepts of cross section, mean free path, and collision frequency | |
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The reaction rate | |
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The distribution functions, the fusion cross sections, and the fusion power density | |
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Radiation losses | |
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Summary | |
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Bibliography | |
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Problems | |
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Power balance in a fusion reactor | |
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Introduction | |
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The 0-D conservation of energy relation | |
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General power balance in magnetic fusion | |
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Steady state 0-D power balance | |
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Power balance in the plasma | |
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Power balance in a reactor | |
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Time dependent power balance in a fusion reactor | |
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Summary of magnetic fusion power balance | |
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Bibliography | |
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Problems | |
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Design of a simple magnetic fusion reactor | |
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Introduction | |
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A generic magnetic fusion reactor | |
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The critical reactor design parameters to be calculated | |
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Design goals, and basic engineering and nuclear physics constraints | |
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Design of the reactor | |
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Summary | |
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Bibliography | |
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Problems | |
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The plasma physics of fusion energy | |
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Overview of magnetic fusion | |
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Introduction | |
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Basic description of a plasma | |
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Single-particle behavior | |
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Self-consistent models | |
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MHD equilibrium and stability | |
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Magnetic fusion concepts | |
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Transport | |
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Heating and current drive | |
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The future of fusion research | |
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Bibliography | |
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Definition of a fusion plasma | |
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Introduction | |
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Shielding DC electric fields in a plasma - the Debye length | |
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Shielding AC electric fields in a plasma - the plasma frequency | |
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Low collisionality and collective effects | |
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Additional constraints for a magnetic fusion plasma | |
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Macroscopic behavior vs. collisions | |
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Summary | |
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Bibliography | |
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Problems | |
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Single-particle motion in a plasma - guiding center theory | |
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Introduction | |
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General properties of single-particle motion | |
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Motion in a constant B field | |
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Motion in constant B and E fields: the E x B drift | |
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Motion in fields with perpendicular gradients: the [down triangle, open] B drift | |
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Motion in a curved magnetic field: the curvature drift | |
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Combined V[subscript down triangle, open B] and V[subscript k] drifts in a vacuum magnetic field | |
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Motion in time varying E and B fields: the polarization drift | |
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Motion in fields with parallel gradients: the magnetic moment and mirroring | |
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Summary - putting all the pieces together | |
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Bibliography | |
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Problems | |
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Single-particle motion - Coulomb collisions | |
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Introduction | |
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Coulomb collisions - mathematical derivation | |
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The test particle collision frequencies | |
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The mirror machine revisited | |
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The slowing down of high-energy ions | |
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Runaway electrons | |
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Net exchange collisions | |
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Summary | |
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Bibliography | |
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Problems | |
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A self-consistent two-fluid model | |
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Introduction | |
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Properties of a fluid model | |
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Conservation of mass | |
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Conservation of momentum | |
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Conservation of energy | |
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Summary of the two-fluid model | |
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Bibliography | |
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Problems | |
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MHD - macroscopic equilibrium | |
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The basic issues of macroscopic equilibrium and stability | |
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Derivation of MHD from the two-fluid model | |
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Derivation of MHD from guiding center theory | |
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MHD equilibrium - a qualitative description | |
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Basic properties of the MHD equilibrium model | |
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Radial pressure balance | |
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Toroidal force balance | |
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Summary of MHD equilibrium | |
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Bibliography | |
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Problems | |
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MHD - macroscopic stability | |
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Introduction | |
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General concepts of stability | |
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A physical picture of MHD instabilities | |
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The general formulation of the ideal MHD stability problem | |
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The infinite homogeneous plasma - MHD waves | |
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The linear [theta]-pinch | |
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The m = 0 mode in a linear Z-pinch | |
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The m = 1 mode in a linear Z-pinch | |
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Summary of stability | |
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Bibliography | |
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Problems | |
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Magnetic fusion concepts | |
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Introduction | |
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The levitated dipole (LDX) | |
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The field reversed configuration (FRC) | |
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The surface current model | |
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The reversed field pinch (RFP) | |
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The spheromak | |
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The tokamak | |
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The stellarator | |
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Revisiting the simple fusion reactor | |
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Overall summary | |
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Bibliography | |
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Problems | |
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Transport | |
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Introduction | |
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Transport in a 1-D cyclindrical plasma | |
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Solving the transport equations | |
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Neoclassical transport | |
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Empirical scaling relations | |
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Applications of transport theory to a fusion ignition experiment | |
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Overall summary | |
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Bibliography | |
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Problems | |
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Heating and current drive | |
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Introduction | |
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Ohmic heating | |
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Neutral beam heating | |
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Basic principles of RF heating and current drive | |
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The cold plasma dispersion relation | |
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Collisionless damping | |
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Electron cyclotron heating (ECH) | |
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Ion cyclotron heating (ICH) | |
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Lower hybrid current drive (LHCD) | |
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Overall summary | |
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Bibliography | |
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Problems | |
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The future of fusion research | |
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Introduction | |
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Current status of plasma physics research | |
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ITER | |
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A Demonstration Power Plant (DEMO) | |
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Bibliography | |
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Analytical derivation of [right angle bracket sigma] v[left angle bracket] | |
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Radiation from an accelerating charge | |
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Derivation of Boozer coordinates | |
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Poynting's theorem | |
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Index | |