The Physics of Alfv�n waves

Abstract

As mentioned in the preface, there is much potential for cross-fertilisation in plasma physics between the different application areas such as astrophysics and fusion plasma physics. The book by N F Cramer represents a good effort to facilitate this cross-fertilisation in the subject of Alfv�n waves. The emphasis of the book is on the influence of extended (i.e. non-ideal) MHD models, such as the Hall-MHD model, on the Alfv�n wave spectrum and its applications. After a short introduction to the MHD models in the first chapter, the influence of non-ideal MHD effects (Hall effects, multiple ion species, collisions) on the dispersion relation is discussed for uniform (chapter 2) and non-uniform plasmas (chapter 3). Surface waves at the interface of plasmas, i.e. at a strong non-uniformity, are discussed in chapter 4. Instabilities of Alfv�n waves and non-linear waves are the subject of chapter 5. The last three chapters describe the applications of Alfv�n waves, using the models described in the earlier chapters. This part is a mix of an overview of published material and some examples that are worked out in some more detail. Applications in laboratory plasmas, restricted to fusion plasmas, are followed by applications in space and solar plasmas (chapter 7) and astrophysical plasmas (chapter 8). Many references are given throughout the book, which facilitates the study of a particular subject in more detail. The book may not be suitable as a first introduction to Alfv�n waves or magnetohydrodynamics: for this the introductory part of the book is too concentrated and the style is in general too compact. However, it is certainly very useful for the both starting and active researchers in the field of Alfv�n waves. G T A Huysmans