Bibliography

1

Abramowitz M and Stegun I A (eds.) 1965 Handbook of Mathematical Functions with Formulas, Graphs, and Mathematical Tables (New York NY: Dover)

2

Ara G, Basu B, Coppi B, Laval G, Rosenbluth M N and Waddell B V 1978 Magnetic Reconnection and $m = 1$ Oscillations in Current Carrying Plasmas Annals of Physics (NY) 112 443

3

Bardóczi L, Rhodes T L, Carter T A, Crocker N A, Peebles W A and Grierson B A 2016 Non-Perturbative Measurement of Cross-Field Thermal Diffusivity Reduction at the O-point of 2/1 Neoclassical Tearing Mode Islands in the DIII-D Tokamak Physics of Plasmas 23 052507

4

Bardóczi L, Rhodes T L, Bañón Navarro A, Sung C, Carter T A, La Haye R J, McKee G R, Petty C C, Chrystal C and Jenko F 2017 Multi-Field/-Scale Interactions of Turbulence with Neoclassical Tearing Mode Magnetic Islands in the DIII-D Tokamak Physics of Plasmas 24 056106

5

Bickerton R J, Connor J W and Taylor J B 1971 Diffusion Driven Plasma Currents and Bootstrap Tokamak Nature Physical Science 229 110

6

Braginskii S I 1965 Transport Processes in a Plasma Reviews of Plasma Physics 1 205 (New York NY: Consultants Bureau)

7

Brizard A J and Hahm T S 2007 Foundations of Nonlinear Gyrokinetic Theory Reviews of Modern Physics 2 421

8

Calvo I and Parra F I 2012 Long-Wavelength Limit of Gyrokinetics in a Turbulent Tokamak and its Intrinsic Ambipolarity Plasma Physics and Controlled Fusion 54 115007

9

Catto P J 1978 Linearized Gyro-Kinetics Plasma Physics 20 719

10

Chapman S and Cowling T G 1953 The Mathematical Theory of Non-Uniform Gases (Cambridge UK: Cambridge University Press)

11

Chew G F, Goldberger M L and Low F E 1956 The Boltzmann Equation and the One-Fluid Hydromagnetic Equations in the Absence of Particle Collisions Proceedings of the Royal Society (London) Series A 236 112

12

Choi M J 2021 Interaction between a Magnetic Island and Turbulence Reviews of Modern Plasma Physics 5 9

13

Choi M J, Bardóczi L, Kwon J-M, Hahm T S, Park H K, Kim J, Woo M, Park B-H, Yun G S, Yoon E and McKee G 2021 Nature Communications 12 375

14

Connor J W and Wilson H R 1994 Survey of Theories of Anomalous Transport Plasma Physics and Controlled Fusion 36 719

15

Etzweiler J F and Brouchous D A 1980 Observations of Neoclassical and Anomalous Resistivity in Toroidal Discharges Physics of Fluids 23 2547

16

Fick A 1855 Über Diffusion Annalen der Physik 94 59

17

Fitzpatrick R 1995 Helical Temperature Perturbations Associated with Tearing Modes in Tokamak Plasmas Physics of Plasmas 2 825

18

Fitzpatrick R 2015 Plasma Physics: An Introduction (Boca Raton FL: CRC Press, Taylor & Francis Group)

19

Fitzpatrick R 2017 Theoretical Fluid Mechanics (Bristol UK: IOP Publishing)

20

Freidberg J P 1987 Ideal Magnetohydrodynamics (New York NY: Plenum)

21

Furth H P, Killeen J and Rosenbluth M N 1963 Finite-Resistivity Instabilities of a Sheet Pinch Physics of Fluids 6 459

22

Galeev A A and Sagdeev R Z 1968 Transport Phenomena in a Collisionless Plasma in a Toroidal Magnetic System Soviet Physics JETP 26 233

23

Garbet X, Idomura Y, Villard L and Watanabe T H 2010 Gyrokinetic simulations of Turbulent Transport Nuclear Fusion 50 043002

24

Grad H 1958 Principles of the Kinetic Theory of Gases Handbuch der Physik 3 205

25

Hahm T S 1988 Nonlinear Gyrokinetic Equations for Tokamak Microturbulence Physics Fluids 31 2670

26

Hammett B W and Perkins F W 1990 Fluid Moment Models for Landau Damping with Application to the Ion-Temperature-Gradient Instability Physical Review Letters 64 3019

27

Hazeltine R D 1998 Transport in the Collisionless Limit Physics of Plasmas 5 3282

28

Hazeltine R D and Meiss J D 1985 Shear-Alfvén Dynamics of Toroidally Confined Plasmas Physics Reports 121 1

29

Hazeltine R D and Meiss J D 2003 Plasma Confinement (New York NY: Dover).

30

Helander P and Sigmar D J 2002 Collisional Transport in Magnetized Plasmas (Cambridge UK: Cambridge University Press.)

31

Helander P and Simakov A N 2008 Intrinsic Ambipolarity and Rotation in Stellarators Physical Review Letters 101 145003

32

Hinton F L and Hazeltine R D 1976 Theory of Plasma Transport in Toroidal Confinement Systems Reviews of Modern Physics 48 239

33

Hinton F L and Oberman C 1969 Electrical Conductivity of Plasma in a Spatially Inhomogeneous Magnetic Field Nuclear Fusion 9 319

34

Hirschman S P and Sigmar D J 1981 Neoclassical Transport of Impurities in Tokamak Plasmas Nuclear Fusion 21 1079

35

Hornsby W A, Peeters A G, Snodin A P, Casson F J, Camenen Y, Szepesi G, Siccinio M and Poli E 2010 The Nonlinear Coupling between Gyroradius Scale Turbulence and Mesoscale Magnetic Islands in Fusion Plasmas Physics of Plasmas 17 092301

36

Hunana P, Passot T, Khomenko E, Martínez-Gómez D, Collados M, Tenerani A, Zank G P, Maneva Y, Goldstein M L and Webb G M 2022 Generalized Fluid Models of the Braginskii Type Astrophysical Journal Supplement Series 260 26

37

Kikuchi M, Azumi M, Tsuji D, Tani K and Kubo H 1990 Bootstrap Current During Perpendicular Neutral Injection in JT-60 Nuclear Fusion 30 343

38

Kim Y B, Diamond P H and Groebner R J 1991 Neoclassical Poloidal and Toroidal Rotation in Tokamaks Physics of Fluids B 3 2050

39

Kotschenreuther M, Dorland W, Beer M A and Hammett G W 1995 Quantitative Predictions of Tokamak Energy Confinement from First-Principles Simulations with Kinetic Effects Physics of Plasmas 2 2381

40

Kruskal M D 1962 Asymptotic Theory of Hamiltonian and other Systems with all Solutions Nearly Periodic Journal of Mathematical Physics 3 806

41

Reif F 1965 Fundamentals of Statistical and Thermal Physics (New York NY: McGraw-Hill)

42

Richardson A S 2019 2019 NRL Plasma Formulary (Washington DC: Naval Research Laboratory)

43

Rosenbluth M N, Hazeltine R D and Hinton F L 1972 Plasma Transport in Toroidal Confinement Systems Physics of Fluids 15 116

44

Rutherford P H 1970 Collisional Diffusion in an Axisymmetric Torus Physics of Plasmas 13 482

45

Rutherford P H 1973 Nonlinear Growth of the Tearing Mode Physics of Fluids 16 1906

46

Sen A, Singh R, Chandra D, Kaw P and Raju D 2009 ETG Turbulence Effects on the Evolution of an NTM Nuclear Fusion 49 115012

47

Spitzer L Jr. and Härm R 1953 Transport Phenomena in a Completely Ionized Gas Physical Review Letters 89 977

48

Stix T H 1973 Decay of Poloidal Rotation in a Tokamak Plasma Physics of Fluids 16 1260

49

Waltz R E 1982 Magnetic Fluctuations, Ambipolarity, Charge Filamentation, and Plasma Rotation in Tokamaks Physics of Plasmas 25 1269

50

Waltz R E, Candy J and Rosenbluth M N 2002 Gyrokinetic Turbulence Simulation of Profile Shear Stabilization and Broken Gyrobohm Scaling Physics of Plasmas 9 1938

51

Ware A A 1970 Pinch Effect for Trapped Particles in a Tokamak Physical Review Letters 25 15

52

Wesson J A 2011 Tokamaks 4th edition (Oxford UK: Oxford University Press)

53

Wootton A J, Carreras B A, Matsumoto H, McGuire K, Peebles W A, Ritz C P, Terry P W and Zweben S J 1990 Fluctuations and Anomalous Transport in Tokamaks Physics of Fluids B 2 2879

54

Zarnstorff M C and Prager S C 1984 Experimental Observation of Neoclassical Currents in a Plasma Physical Review Letters 53 454

55

Zarnstorff M C, Bell M G, Bitter M, Goldston R J, Grek B, Hawryluk R J, Hill K, Johnson D, McCune D, Park H, Ramsey A, Taylor G and Wieland R 1988 Bootstrap Current in TFTR Physical Review Letters 60 1306

56

Zarnstorff M C, McGuire K, Bell M G, Grek B, Johnson D, McCune H, Park A and Taylor G 1990 Parallel Electric Resistivity in the TFTR Tokamak Physics of Fluids B 2 1852