Cargando…

Turbulence and instabilities in magnetised plasmas. Volume 2, Gyrokinetic theory and gyrofluid turbulence /

The second of a two-volume set, this book begins with a review of the concepts behind magnetised plasma turbulence as covered in Volume One. After covering the effects of temperature dynamics, especially heat flux inertia, the rest of the first half reviews classical field theory in the necessary la...

Descripción completa

Detalles Bibliográficos
Clasificación:	Libro Electrónico
Autor principal:	Scott, Bruce D. (Autor)
Formato:	Electrónico eBook
Idioma:	Inglés
Publicado:	Bristol [England] (Temple Circus, Temple Way, Bristol BS1 6HG, UK) : IOP Publishing, [2021]
Colección:	IOP (Series). Release 21. IOP series in plasma physics. IOP ebooks. 2021 collection.
Temas:	Plasma turbulence. Plasma instabilities. Plasma dynamics. Plasma physics. Plasmas.
Acceso en línea:	Texto completo

Tabla de Contenidos:

1. Prelude to volume two
1.1. Plasma, magnetised, parameters
1.2. Low frequency, flute mode ordering
1.3. Drifts, ExB flow, currents
1.4. Polarisation and quasineutrality
1.5. Turbulence
1.6. Turbulence in magnetised plasmas
1.7. Kinetic theory, turbulence, and MHD instabilities
2. Effects of the electron temperature
2.1. Introduction--electron temperature
2.2. Conservative effects
2.3. Dissipative effects
2.4. equations for magnetised plasma turbulence
2.5. Parameters, normalised equations, geometry
2.6. Energetics
2.7. Heat flux and kinetic shear Alfvén waves
2.8. Drift Alfvén turbulence
2.9. Mode structure
2.10. Dependence on parameters
2.11. Summary
3. Effects of the ion temperature
3.1. Introduction--ion temperature as independent
3.2. The Larmor radius and gyro averaging
3.3. Gyroaveraging versus gyroviscosity
3.4. Effects on cold ion dynamics
3.5. Ion temperature gradient (ITG) modes
3.6. Warm-ion toroidal drift Alfvén model
3.7. Electromagnetic ITG turbulence in a hot plasma
3.8. Warm ion drift Alfvén turbulence
3.9. On gyroviscosity
3.10. Summary
4. Lagrangian field theory and drifts
4.1. Low frequency drifts
4.2. Lagrangian field theory
4.3. Canonical representation
4.4. Lagrangian field theory in canonical form
4.5. Towards drifts
4.6. Quasineutrality
4.7. Interlude--Noether's theorem
5. Introduction to gyrokinetic theory
5.1. Ideas behind the gyrokinetic representation
5.2. Lagrangian basis of kinetic theory
5.3. The strategy of gyrokinetics
5.4. The drift-kinetic Lagrangian
5.5. The field variables as perturbations
5.6. The Lie transform
5.7. The gyroaverage
5.8. The gyrocentre phase space density and flow
5.9. The gyrokinetic field Lagrangian
5.10. Simplified limits
6. Phase space and energetic consistency
6.1. Summary of ideas
6.2. Basic structure of the model
6.3. The Euler-Lagrange equations for gyrocentres
6.4. Symmetry in gyrocentre dynamics
6.5. Application of Noether's theorem
6.6. Energy conservation
6.7. Momentum conservation
6.8. Gyrokinetic drifts
6.9. Gyrokinetic energetics
6.10. Simplified geometry and the form of the Jacobian
7. Gyrokinetic theory for local dynamics
7.1. Ideas behind delta-f gyrokinetics
7.2. Total-f Lagrangian and energetics
7.3. Linearised polarisation
7.4. The free energy
7.5. Sketch of the delta-f approach
7.6. Systematics of the delta-f equations
7.7. Delta-f energetics and correspondence
7.8. On consistency
7.9. The gyroaveraged magnetic field
7.10. What happened to momentum
8. Gyrokinetic treatment of waves
8.1. Introduction
8.2. Kinetic responses
8.3. Adiabatic drift acoustic wave
8.4. Kinetic shear Alfvén wave
8.5. Drift-Alfvén wave
8.6. Landau damping as thermal conduction
8.7. Kinetic resonance--Landau damping
8.8. Summary
9. Introduction to gyrofluid theory
9.1. Introduction
9.2. Heuristic gyrofluid 2D turbulence
9.3. Heuristic gyrofluid 3D turbulence
9.4. Gyrofluid systematics
9.5. Gyrofluid energetics
9.6. Summary
10. Gyrofluid equations for thermal dynamics
10.1. Introduction
10.2. The gyrofluid model with thermal responses
10.3. Collisions in general
10.4. Thermal gyrofluid energetics
10.5. Correspondence to the fluid model
10.6. On usefulness
11. Gyrofluid drift-Alfvén turbulence
11.1. Introduction--gyrofluid turbulence
11.2. Electromagnetic gyrofluid equations
11.3. Energetics
11.4. ITG turbulence in a hot plasma
11.5. Drift Alfvén turbulence in a warm plasma
11.6. Thermal anisotropy
11.7. Summary
12. Electron gyroscale turbulence
12.1. Introduction--the gyroscale
12.2. Responses below the ion gyroradius
12.3. Heuristic 2D electron gyroscale model
12.4. ITG and ETG isomorphism
12.5. Three-dimensional adiabatic ETG turbulence
12.6. The two-scale problem
12.7. Summary
13. Trapped-electron turbulence
13.1. Introduction--magnetic trapping chk
13.2. Gyrokinetic Hamiltonian in a system with symmetry
13.3. The toroidal precession drift
13.4. Single-centre drifts versus gyrokinetics
13.5. Trapped electrons as separate species in turbulence
13.6. On the kinetic details
13.7. Summary
14. Turbulence and test particles
14.1. Introduction--trace species
14.2. A two-dimensional trace species model
14.3. A three-dimensional three-species gyrofluid model
14.4. Summary
15. Current driven MHD instabilities
15.1. Introduction
15.2. Ideal MHD and the energy principle
15.3. Tearing modes and reconnection
15.4. Ballooning modes
15.5. Kink modes
15.6. Mode types not covered
15.7. Turbulence in a current channel
15.8. Summary
16. Gyrokinetic gauge transform for large scales
16.1. Background and introduction
16.2. Gyrokinetic theory as a gauge transform
16.3. Gauge transform to get the Lagrangian
16.4. Correspondence among the Lagrangians
16.5. The field Lagrangian
16.6. MHD and MHD equilibrium
16.7. Summary
17. Lie-Poisson bracket for gyrokinetics
17.1. Introduction
17.2. Poisson bracket formulation
17.3. Phase space Jacobian and the four-bracket form
17.4. Setting up a Lie-Poisson functional bracket
17.5. Lie-Poisson brackets for two-dimensional models
17.6. Casimir invariants.

Turbulence and instabilities in magnetised plasmas. Volume 2, Gyrokinetic theory and gyrofluid turbulence /

Ejemplares similares