Postgraduate Plasma Physics
Lectures, Imperial College

ADVANCED PLASMA THEORY

(Spring Term 2008: lectures on Wednesdays, 1:30-3:30pm, 741 Blackett)

**Alexander Schekochihin**

ADVANCED PLASMA THEORY

(Spring Term 2008: lectures on Wednesdays, 1:30-3:30pm, 741 Blackett)

his powers have been exerted for their pleasure and instruction.

Here I will post some information on
the material
we have
covered in the past lectures, plans for the upcoming lectures,
suggestions
for additional reading, original references, problem sheets, scheduling
notices
etc.

*Note that my presentation will not necessarily be based on the
reading
suggestions below. These are given simply so
that
you know where to look for an alternative (and in many cases much more
extensive)
account of the material discussed in class.*

1. Kadomtsev, Plasma Turbulence (Academic Press 1965)

2. Sagdeev & Galeev, Nonlinear plasma theory (W. A. Benjamin Inc., 1969)

3. Vedenov, Theory of Turbulent Plasma (Iliffe Books Ltd, 168)

4. Tsytovich, Nonlinear Effects in Plasma (Plenium Press, 1970)

5. Tsytovich, An Introduction to the Theory of Plasma Turbuelnce (Pergamon, 1972)

On weak turbulence, this book is the official bible:

6. Zakharov, L'vov & Falkovich, Kolmogorov Spectra of Turbulence I (Springer, 1992) --- also out of print, but an updated online version exists

On strong turbulence, mostly hydrodynamic, here are a few standard books

7. Landau & Lifschitz, Fluid Mechanics (Butterworth-Heinemann, 1995) --- The most concise and lucid account of Kolmogorov's 1941 theory you are likely to find §§33-34

8. Frisch, Turbulence: The Legacy of A. N. Kolmogorov (Cambridge U Press, 1995) --- A book that is now a standard reference. It presents Kolmogorov's theory very thoroughly (if in a somewhat formal way). Also contains a long chapter reviewing the literature and the modern (as of 1995) state of the subject.

9. Davidson, Turbulence --- An Introduction for Scientists and Engineers (Oxford U Press, 2004) --- A very well written compendium of knowledge on turbulence. Everything you ever wanted to know about it but were afraid to ask.

10. Batchelor, The Theory of Homogeneous Turbulence (Cambridge U Press, 1982) --- A classic essay on turbulence.

11. Monin & Yaglom, Statistical Fluid Mechanics: Mechanics of Turbulence, 2 vols. (MIT Press, 1979) --- The Russian turbulence bible by two of Kolmogorov's disciples.

12. Pope, Turbulent Flows (Cambridge U Press, 2000) --- An engineering-style monograph.

13. McComb, The Physics of Fluid Turbulence (Clarendon, 1992) --- A good monograph on closure schemes, if you must know about them.

If you want to brush up on your plasma physics, you all know your favorite student books, but here are some adult plasma books that you might enjoy reading even if you already know everything:

14. Spitzer, Physics of Fully Ionized Gases (Wiley, 1962) --- A classic of plasma physics by the founder of the US fusion program.

15. Longmire, Elementary Plasma Physics

16. Klimontovich, The Statistical Theory of Non-Equilibrium Processes in a Plasma (MIT Press 1967) --- Here you can learn about the Klimontovich distribution function, BBGKY hierarchy, and many other things.

17. Handbook of Plasma Physics, edited by Galeev & Sudan, 2 vols. (North-Holland, 1983, 1984) --- The bible of laboratory plasma physics. Review articles by the leading scientists. Quality varies, but the book as a whole is a good resource. Has chapters on weak turbulence by Zakharov, Sagdeev & Galeev.

18. Alexandrov, Bogdankevich & Rukhadze, Principles of Plasma Electrodynamics (Springer, 1984) --- An excellent and ultra-systematic treatment of plasma physics (except, unfortunately, the section on quasilinear theory, which is full of sloppy typos).

19. Kulsrud, Plasma Physics for Astrophysics (Princeton U Press, 2005) --- Lots of physical insight into everything.

Finally, an indispensable resource:

20. NRL Plasma Formulary (it is online and they will also send you a free paper copy courtesy of US Navy).

Where relevant, I will post some further references below...