<div>Preface<br></div><div><p>1 Introduction </p><p>1.1 Essential Elements of Fusion Physics </p><p>1.2 The Plasma Exhaust Problem </p><p>1.3 Boundary physics at a glance </p><p>1.4 Goals and Synopsis .</p><p>2 Plasma Equations </p>2.1 Forces and Dynamics <p></p><p>2.2 Kinetic Description </p><p>2.2.1 Liouville Equation and Probability Distributions </p><p>2.2.2 Boltzmann and Vlasov Equation </p><p>2.3 A basic discussion of plasma collision operators </p><p>2.3.1 From collisions to collision operators .</p><p>2.3.2 Boltzmann’s H-theorem, or a short history of irreversibility </p><p>2.3.3 Simplifying things: the BGK Operator </p><p>2.4 Fluid Description </p><p>2.4.1 Density Equation </p><p>2.4.2 Momentum Equation</p><p>2.4.3 Energy Equation </p><p>2.5 Implication of non-relativistic dynamics </p>2.6 Closures, Orderings and Reduced Models <p></p><p>2.6.1 Braginskii equations </p><p>2.6.2 MHD</p><p>2.6.3 Drift-ordered equations </p><p>2.6.4 Geometry in reduced 2D systems </p><p>3 Sheath Physics </p><p>3.1 The Langmuir (or Debye) sheath </p><p>3.2 Debye Shielding </p><p>3.3 A quick review of wall models</p><p>3.4 Wall with perpendicular magnetic field or non magnetised plasma </p><p>3.4.1 Fluid sheath model and existence conditions</p><p>3.4.2 Particle fluxes and electrical phenomena in the sheath</p><p>3.4.3 Collisional presheath </p>3.4.4 Kinetic treatment of the sheath <p></p><p>3.4.5 Bohm criterion for plasmas with multiple ions </p><p>3.4.6 Sheath energy transmission - formerly (and wrongly) known as heat transmission</p><p>3.5 Wall with inclined magnetic fields and magnetic pre-sheath </p><p>3.5.1 Bohm criterion for shallow angles and magnetic pre-sheath </p><p>3.5.2 Electric potential and dependence on the incidence angle</p><p>3.5.3 Effect of fluid drifts</p><p>3.5.4 Very shallow angles and role of collisions</p><p>4 Atomic, Molecular and Plasma-Surface physics</p><p>4.1 A few useful concepts and reaction terminology </p><p>4.2 Basic model with atomic hydrogen</p><p>4.2.1 Electron-Neutrals interactions </p><p>4.2.2 Ion-Neutral Interactions </p><p>4.2.3 Other interactions between the electrons, ions, and atoms </p><p>4.3 Molecular interactions </p><p>4.4 Impurities </p><p>4.5 Plasma-Surface interactions </p><p>4.5.1 Reflection, Trapping and Desorption</p><p>4.5.2 Wall Recycling</p>4.5.3 Sputtering <p></p><p>4.5.4 Electron emission </p><p>5 Basic Exhaust Concepts </p><p>5.1 Magnetic Geometry and its connection with the boundary plasma </p><p>5.2 Protecting the Plasma Facing Structures </p><p>5.3 Elementary estimates of Scrape-Off Layer Width </p><p>5.4 Simple Geometrical Effects - Flux Expansion and Tile Tilting </p><p>5.4.1 Poloidal and Toroidal flux expansion</p><p>5.4.2 Target tilting </p><p>5.4.3 Total flux expansion and magnetic projection of the areas</p>5.4.4 Further observations on the geometrical effects <p></p><p>5.5 Divertor Regimes: the Two Point Model </p><p>5.5.1 Derivation of the two point model</p><p>5.5.2 General solutions of the two point model </p><p>5.5.3 Collisionality and its role in the two point model </p><p>5.5.4 Applications of the two point model: divertor regimes </p><p>5.5.5 Extended two point model </p><p>5.6 Flux formulation and parallel profiles in the boundary plasma </p><p>5.6.1 Neutrals and particle sources </p><p>5.6.2 Particle flux </p><p>5.6.3 Energy flux and temperature profile </p><p>5.6.4 Target conditions </p><p>5.6.5 Upstream conditions </p><p>5.6.6 Mach number, velocity and density profiles </p><p>5.6.7 Electric potential </p><p>5.7 Divertor asymmetry in low to intermediate collisionality</p><p>6 Radiation and Detachment </p><p>6.1 Plasma/neutral processes at large collisionality and low temperature</p><p>6.1.1 Model equations for high collisionality cold plasmas </p><p>6.1.2 A closer look at the energy transfer mechanisms in a cold</p><p>pure plasmas </p><p>6.2 Impurity radiation and associated models </p><p>6.3 Divertor asymmetry at high collisionality or radiation </p><p>6.4 Detachment </p><p>6.4.1 Particle flux balance </p><p>6.4.2 Routes to detachment - a qualitative discussion </p><p>6.4.3 Role of pressure losses and recombination </p><p>6.4.4 Partial detachment and detachment onset </p><p>6.4.5 Deep detachment: Detachment Window and Stability </p><p>6.5 MARFEs and stable X-point radiation </p><p>7 Filamentary Transport </p><p>7.1 Basic Filament Physics and Observations</p><p>7.1.1 Filament propagation </p><p>7.2 Filaments at the Outer Midplane </p><p>7.2.1 Filament generation </p><p>7.2.2 Filament interactions (or lack thereof)</p><p>7.2.3 Parallel dynamics of the upstream filaments </p><p>7.2.4 Filaments at the X-Point</p><p>7.2.5 Response of filaments to different SOL conditions </p><p>7.3 Filaments in the Divertor Region</p>7.4 The Nature of Boundary Turbulence <p></p><p>7.4.1 Important Statistical Concepts and Tools </p><p>7.4.2 Randomness and structure in temporal fluctuations </p><p>7.4.3 Diffusion and spatial fluctuations</p><p>7.5 Statistical models of filamentary transport and upstream profiles </p><p>7.5.1 Profiles, background and fluctuations </p><p>7.5.2 Phenomenology of the upstream profiles </p><p>7.5.3 Statistical framework </p><p>7.6 Heat fluxes at the Divertor Target: Wagner-Eich function</p><p>8 Conventional and Alternative Divertors </p><p>8.1 Single null Divertor: the ITER Solution </p><p>8.2 Alternative Divertor Designs </p><p>8.2.1 Why they are needed </p><p>8.2.2 Beneficial features in divertor design </p><p>8.3 The X-divertor </p><p>8.4 The Super-X divertor </p><p>8.5 Double Null divertor</p><p>8.6 The Snowflake Divertor and X-point target divertor </p><p>8.7 Liquid metals as plasma facing components </p><p>8.8 What will the future bring?</p><p>References</p><p>A Appendix</p><p>A.1 Of vectors and tensors</p><p>A.2 Viscous forces in all their glory</p><p>Index </p></div>