This page was last updated 16 Mar 2020.
Notes 1: System and Freezing-in Law — posted 06 Jan 2020
Notes 2: Conservation Laws, Virial Theorem and Self-Confinement — posted 06 Jan 2020
Notes 3: Linear Waves in MHD — posted 06 Jan 2020
Notes 4: Energy Principle and Ideal Instabilities — posted 23 Jan 2020
Notes 5a: Non-Ideal MHD I — Basic Reconnection — revised notes posted 07 Feb 2020
Notes 5b: Non-Ideal MHD II — Flux Expulsion and Homogenization — revised version posted 07 Feb 2020
Notes 5c: Non-Ideal MHD III — Basics of Magnetic Helicity — revised version posted 07 Feb 2020
Notes 5d: Non-Ideal MHD III — Taylor Relaxation and its Dynamics — posted 07 Feb 2020
Notes 6a: Wave Interactions — posted 10 Feb 2020
Notes 6b: Basics of Turbulence — posted 10 Feb 2020
Notes 6c: Detailed Notes on Turbulence — posted 10 Feb 2020
Notes 7a: MHD Turbulence 1 — posted 10 Feb 2020
Notes 7b: MHD Turbulence 2 — posted 10 Feb 2020
Notes 8: Nonlinear Alfven Waves — revised notes posted 12 Mar 2020
Toward Investigation of Diffusive Shock Acceleration Mechanism in a Magnetized Collisionless Shock Wave in LArge Plasma Device (LAPD) — Feng-Jen Chang — posted 16 Mar 2020
Hyper Resistivity in Presence of Stochastic Fields — Chang-Chun Chen — posted 16 Mar 2020
Magnetoluminescence — Jung-Tsung Li — posted 16 Mar 2020
EMHD Explanation of Ionization Wave Propagation in Strong Magnetic Field Region — Haotian Mao — posted 16 Mar 2020
What to Expect When Getting an MRI — Rebecca Masline — posted 16 Mar 2020
Where My Glitches At? Pulsar Magnetohydrodynamics and Superfluid Glitches — Jacob Saret — posted 16 Mar 2020
Ambipolar Diffusion and Implications for Star Formation — Kielan Wilcomb — posted 16 Mar 2020
Lecture 1: Basic Equations, Alfven's Theorem, Freezing-in — posted 18 January 2018
Lecture 2: Conservation Laws, Virial Theorem, Self-confinement and Collapse — posted 18 January 2018
Lecture 3: Linear Waves in MHD — posted 18 January 2018
Lecture 4: Reduced Models — posted 29 January 2018
Lecture 5: Introduction to DNLS and Collisionless Shocks — posted 29 January 2018
Lecture 6: Simple Ideas in Non-Ideal MHD — posted 29 January 2018
Lecture 7: Non-Ideal MHD II — Flux Expulsion and Homogenization — posted 12 February 2018
Lecture 8: Magnetic Helicity, Taylor Relaxation, Mean Field Theory — posted 15 February 2018
Lecture 9: Notes on Wave Interactions — posted 22 February 2018
Lecture 10: MHD Turbulence I — posted 01 March 2018
Lecture 11: MHD Turbulence II — posted 05 March 2018
Lecture 12: Energy Principle and Ideal Instabilities — posted 01 March 2018
Lecture 13: Introduction to Cosmic Ray Dynamics — posted 19 March 2018
Lecture 1: Basics of MHD - posted 2 March 2015
Lecture 2: Conservation Laws in MHD - posted 2 March 2015
Lecture 3: Linear Waves in MHD - posted 2 March 2015
Lecture 3a: Reduced MHD - posted 2 March 2015
Supplement-Reduced MHD - reposted 8 April 2015
Basics of Gas Dynamic and MHD Shocks - posted 13 April 2015
Lecture 4: Foundations of Wave Kinetics - posted 2 March 2015
Lecture 5: Energy Principle and Stability - posted 2 March 2015
Lecture 6: Simple Ideas in Non-Ideal MHD I - posted 2 March 2015
Lecture 7: Non-Ideal MHD II - posted 2 March 2015
Lecture 7a: Homogenization and Expulsion - posted 2 March 2015
Lecture 8: Stochastic Magnetic Fields and Relaxation - posted 2 March 2015
Lecture 9: A Very Brief Intro to Mean Field Electrodynamics - posted 2 March 2015
Lecture 9a: Quasilinear Theory I - posted 2 March 2015
Lecture 9b: Quasilinear Theory II - posted 2 March 2015
Lecture 9c: See Chapter 3 for Quasilinear Theory Discussion - posted 2 March 2015
Lecture 10: Nonlinear Waves, Shocks and Turbulence - An Introduction - posted 2 March 2015
Lecture 10a: Nonlinear Waves - posted 2 March 2015
Lecture 10b: "Nonlinear Plasma" by "Wave Kinetics" - posted 2 March 2015
"Hydromagnetic Stability of a Plasmas" - B.B. Kadomtsev
"MHD Description of Plasma" - Russell M. Kulsrud
"The Variational Principle for Problems of Ideal Magnetohydrodynamic Stability" - Ira B. Bernstein
"Relaxation and Magnetic Reconnection in Plasmas"- J.B. Taylor
"On Steady Laminar Flow with Closed Streamlines at Large Reynolds Number" - G.K. Batchelor
"How Rapidly is a Passive Scalar Mixed Within Closed Streamlines?" - P.B. Rhines and W.R. Young
Electron Heat Transport in a Tokamak with Destroyed Magnetic Surfaces" - A.B. Rechester and M.N. Rosenbluth
A New Look at the Instability of a Stratified Horizontal Magnetic Field - D.W. Hughes and F. Cattaneo
Magnetic Buoyancy and the Boussinesq Approximation - E.A. Spiegel and N.O. Weiss
PV Homogenization - Peter B. Rhines and William R. Young
The Expulsion of Magnetic Flux by Eddies - N.O. Weiss
50 years of fusion research - Dale Meade
The Physics Basis of ITER Confinement - F. Wagner
Pseudo-three dimensional turbulence in magnetized nonuniform plasma - Akira Hasegawa and Kunioki Mima
A collisional drift wave description of plasma edge turbulence - Masahiro Wakatani and Akira Hasegawa
A quarter-century of H-mode studies - F. Wagner
Low Frequency Modes in Confined Plasmas - K. Itoh, S.-I. Itoh and A. Fukuyama
Turbulence in Toroidal Systems - B.B. Kadomtsev and O.P. Pogutse
Zonal Flows: From Wave Momentum and Potential Vorticity Mixing to Shearing Feedback Loops and Enhanced Confinement - P.H. Diamond
Zonal flows in plasma-a review" - P.H. Diamond, S.-I. Itoh, K. Itoh and T.S. Hahm
Vorticity dynamics, drift wave turbulence, and zonal flows: a look back and a look ahead - P.H. Diamond, A. Hasegawa and K. Mima
Eddy Motion in the Atmosphere - G.I. TaylorMultiple Jets as PV Staircases: The Phillips Effect and the Resilience of Eddy-Transport Barriers - D.G. Dritschel and M.E. McIntyre
The General Circulation of the Atmosphere - Isaac M. Held and GFD/2000 Fellows
Gravitational Resistive Instability of an Incompressible Plasma in a Sheared Magnetic Field - K.V. Roberts and J.B. Taylor
High mode number stability of an axisymmetric toroidal plasma - J.W. Connor, R.J. Hastie and J.B. Taylor
Shear, Periodicity, and Plasma Ballooning Modes - J.W. Connor, R.J. Hastie, and J.B. Taylor
Nonlinear growth of the tearing mode - P.H. Rutherford
Intro to Mixing Length Theory - Douglas Gough; D.O. Gough and E.A. Spiegel
Reviews of Plasma Physics - B.B. Kadomtsev
Electron Magnetohydrodynamics - A.S. Kingsep, K.V. Chukbar, V.V. Yankov
From Reconnection to Relaxation: A Pedagogical Tale of Two Taylors - P.H. Diamond
Cooperative Phenomena and Shock Waves in Collisionless Shocks - R.Z. Sagdeev
Notes by Jiacong Li and P.H. Diamond - posted 06-25-15
Turbulence theory is a huge and vital subject. In 218B, we only scratch the surface. For additional reading, see below:
A) Fluid/Navier-Stokes Turbulence
i.) "Turbulence: The Legacy of A.N. Kolmogorov", - U. Frisch, C.U.P. - superb, short book
ii.) Kulsrud: 11.7, 11.8 - summary of basics
iii.) Diamond, Itoh, Itoh: 2.3 - summary of basics
iv.) Frisch, Sulem, Nelkin '78 - good basic OV of cascades and fractal intermittency. Accessible
A Simple Dynamically Model of Intermittent Fully Developed Turbulence - Uriel Frisch, Pierre-Louis Sulem and Mark Nelkin
v.) Falkovich, et al., 2001 - review of particle dispersion in turbulence. Difficult, but worth it.
Particles and Fields in Fluid Turbulence - G. Falkovich, K. Gawedzki and M. Vergassola
B) MHD Turbulence
i.) Kulsrud: 11.9 - basics
ii.) Diamond, Itoh, Itoh: 9.1, 9.2 - basics; 9.3 - steepening of Alfven waves
iii.) Goldreich, Sridhar '95, '97: basic papers. GS'97 is particularly accessible
Toward a Theory of Interstellar Turbulence II. Strong Alfvenic Turbulence - P. Goldreich and S. Sridhar
Magnetohydrodynamic Turbulence Revisited - P. Goldreich and S. Sridhar
iv.) Pouquet, Frisch, Leorat '78: classic paper on strong MHD turbulence
Strong MHD Helical Turbulence and the Nonlinear Dynamo Effect - A. Pouquet, U. Frisch and J. Leorat
v.) Pouquet '78: classic paper on 2D MHD turbulence
On Two-Dimensional Magnetohydrodynamics Turbulence - A. Pouquet
vi.) Galtier, et al., 2000: technical but useful paper on wave interactions in MHD turbulence
A Weak Turbulence Theory for Incompressible Magnetohydrodynamics - S. Galtier, S.V. Nazarenko, A.C. Newell and A. Pouquet
Some additional material may be found at:
For Kinetic Energy Principles: