This second volume title presents a review of the state-of-the-art theory and application of magnetically confined plasma physics. The book covers three major topics: the Braginskii transport theory, the newly developed perpendicular magnetofluid theory, and the fluid-kinetic hybrid theories. In greater detail, the perpendicular magnetofluid theory is examined, along with the equilibrium and stability analyses. The book provides an advanced review on the state-of-the-art theory and application of magnetically confined plasma physics and is an essential reference for students and researchers in this field.
Key Features
- Updated review of the theory and applications of magnetically confined plasma physics.
- Self-contained yet advanced book, essential for students and researchers.
Author(s): Linjin Zheng
Publisher: IOP Publishing
Year: 2020
Language: English
Pages: 218
City: Bristol
PRELIMS.pdf
Preface
Acknowledgements
Author biography
Linjin Zheng
CH001.pdf
Chapter 1 Principle of the fluid description of magnetically confined plasmas
1.1 Framework of conventional fluid theory
1.2 Fluid description of magnetically confined plasmas
References
CH002.pdf
Chapter 2 Braginskii two-fluid theory
2.1 Transport equations
2.1.1 Boltzmann equation
2.1.2 Moments of the kinetic equations
2.1.3 On the moment closure and transport coefficients
2.2 Estimation and interpretation of transport coefficients
2.2.1 Random walks
2.2.2 Momentum transfer
2.2.3 Viscosity
2.2.4 Heat flux
2.2.5 Heat generation
2.3 Kinetic theory evaluation of transport coefficients for moment closure
2.3.1 Kinetic equations in the center of mass
2.3.2 Electron–ion cross collisional operator
2.3.3 Ion–electron cross collisional operator
2.3.4 Transport coefficients based on the collisional operators
2.3.5 The first order kinetic equations
2.3.6 Transport coefficients based on the distribution functions
2.3.7 Transport coefficients due to the finite Larmor radius effects
2.4 Conditions of applicability
References
CH003.pdf
Chapter 3 Perpendicular magnetofluid theory in the collisionless limit
3.1 Kinetic equation in the field-line-aligned coordinate system
3.2 Moments of kinetic equation
3.2.1 Definitions of fluid quantities
3.2.2 Continuity equation
3.2.3 Momentum transport equation
3.2.4 Energy transport equation
3.3 Kinetic closure of perpendicular magnetofluid equations
3.3.1 The first order kinetic equations
3.3.2 Solutions of the first order kinetic equations
3.4 Transport coefficients
3.5 Equation summary
3.6 Conclusions and discussion
References
CH004.pdf
Chapter 4 Equilibrium analyses with the perpendicular magnetofluid theory
References
CH005.pdf
Chapter 5 Electrostatic modes in the perpendicular magnetofluid description
5.1 Basic set of equations
5.2 The dispersion relation for electrostatic modes
5.3 Discussion: comparison with the gyrokinetic theory
References
CH006.pdf
Chapter 6 Electromagnetic modes in the perpendicular magnetofluid description
6.1 Basic set of equations
6.2 Perpendicular MHD with the kinetic parallel inertia
6.3 Wave-particle resonance and parallel electric field effects
6.4 Finite Larmor radius effects
6.4.1 Gyroviscosity for electromagnetic modes
6.4.2 Finite Larmor radius effects and the gyroviscous cancellation
6.5 Coupling of the electrostatic drift waves
6.6 Conclusions and discussion
References
CH007.pdf
Chapter 7 The collisional effects in the perpendicular magnetofluid formalism
7.1 The kinetic equation and its moment equations
7.2 Collisional effects on the electrostatic modes
7.3 Collisional effects on the electromagnetic modes
7.4 Conclusions and discussion
References
CH008.pdf
Chapter 8 Fluid-kinetic hybrid theories
8.1 Pressure moment approach
8.2 Current moment approach
8.2.1 Structure of linear ideal MHD equations
8.2.2 Hybrid equations with the current moment approach
8.3 Conclusions and discussion
References
CH009.pdf
Chapter 9 Concluding remarks
Reference
APP1.pdf
Chapter
APP2.pdf
Chapter
B.1 Table of integrations for the Maxwellian distribution function
B.2 Table of integrations for the perpendicular Maxwellian distribution function
