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

Format:

Book

Author/Creator:

Scott, Bruce D., author.

Contributor:

Institute of Physics (Great Britain), publisher.

Series:

IOP series in plasma physics.

IOP ebooks. 2021 collection.

IOP series in plasma physics

IOP ebooks. [2021 collection]

Language:

English

Subjects (All):

Plasma turbulence.

Plasma instabilities.

Plasma dynamics.

Physical Description:

1 online resource (various pagings) : illustrations (some color).

Other Title:

Gyrokinetic theory and gyrofluid turbulence.

Place of Publication:

Bristol [England] (Temple Circus, Temple Way, Bristol BS1 6HG, UK) : IOP Publishing, [2021]

System Details:

Mode of access: World Wide Web.

System requirements: Adobe Acrobat Reader, EPUB reader, or Kindle reader.

Biography/History:

Bruce Scott is a research plasma physicist having graduated with a Doctorate from the University of Maryland in 1985 and with the German Habilitation from the Heinrich-Heine-Universität Düsseldorf in 2001. He is a Fellow of the American Physical Society with membership since 1979. He has several tens of first author papers in peer reviewed journals in the field of theoretical plasma physics.

Summary:

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 language, then builds the gyrokinetic and gyrofluid theory in a systematic and self-consistent manner, with special emphasis on energetic consistency.

Contents:

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.

Notes:

"Version: 202111"--Title page verso.

Includes bibliographical references.

Title from PDF title page (viewed on December 6, 2021).

ISBN:

0-7503-3855-5

0-7503-3854-7

OCLC:

1288247117