Basics of MHD - posted 9 January 2012
Conservation Laws in MHD - posted 9 January 2012
Energy Principle and Stability - posted 9 January 2012
Simple Ideas in Non-Ideal MHD I - posted 9 January 2012
Non-Ideal MHD II - posted 9 January 2012
Nonlinear Waves, Shocks and Turbulence - An Introduction - posted 9 January 2012
Basics of Nonlinear Plasma Theory I - posted 9 January 2012
Reduced MHD - posted 9 January 2012
Quasilinear Theory I - posted 30 January 2012
Quasilinear Theory II - posted 30 January 2012
See Chapter 3 for Quasilinear Theory Discussion - posted 30 January 2012
Homogenization and Expulsion - posted 16 February 2012
Rayleigh-Taylor, Part 1 - posted 27 February 2012
Rayleigh-Taylor, Part 2 - posted 27 February 2012
"Nonlinear Plasma" by "Wave Kinetics" - posted 6 March 2012
Nonlinear Waves - posted 6 March 2012
Stochastic Magnetic Fields and Relaxation - posted 20 March 2012
"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
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 Princples: