A Notes on Cosmic rays - wave interactions in plasmas

[Pedro de la Torre]

Dear community,

I am Pedro de la Torre, now doing my PhD on Cosmic ray propagation.

Now, I have started to study reacceleration due to interactions of CR with plasma waves. My problem is that I do not find neither a good book or any kind of review with a detailed demonstration on the calculation of diffusion coefficients ( both in space and in momentum) and nor about growth rate of waves. For example I am reading "Skilling,J.,1975a.Mon.Not.R.astr.Soc.,172,557" but there are a lot of steps not explained in the middle and I get confused.

I know that there is not easy to find detailed calculations but It is impossible for me to find this on the web.
Could anyone recommend me any book, webpage, article or any kind of notes where I can find this material?

I would appreciate a lot any help!

Thank you, Pedro.

 

[Astronuc]

Now, I have started to study reacceleration due to interactions of CR with plasma waves. My problem is that I do not find neither a good book or any kind of review with a detailed demonstration on the calculation of diffusion coefficients ( both in space and in momentum) and nor about growth rate of waves. For example I am reading "Skilling,J.,1975a.Mon.Not.R.astr.Soc.,172,557" but there are a lot of steps not explained in the middle and I get confused.

I would expect that one would have discussed the subject with one's thesis advisor, who would in theory have some ideas for references.

What types of interactions is one studying, those near the origin, or interactions within our solar system?

It would help if one indicates what aspects are confusing.

I believe one is referring to Cosmic ray streaming. I - Effect of Alfven waves on particles
http://adsabs.harvard.edu/full/1975MNRAS.172..557S
and there are
http://adsabs.harvard.edu/full/1975MNRAS.173..245S
http://adsabs.harvard.edu/full/1975MNRAS.173..255S

More recently, but not sure if this is relevant to one's interests:

http://adsabs.harvard.edu/full/1994A&A...286..983M

http://adsabs.harvard.edu/full/2006ASPC..359...77F

Cosmic ray acceleration
https://www.sciencedirect.com/science/article/pii/S0927650512001272
Abstract

This review describes the basic theory of cosmic ray acceleration by shocks including the plasma instabilities confining cosmic rays near the shock, the effect of the magnetic field orientation, the maximum cosmic ray energy and the shape of the cosmic ray spectrum. Attention is directed mainly towards Galactic cosmic rays accelerated by supernova remnants.

 

[Pedro de la Torre]

Thank you for the fast answer.

To be concrete, what I would like to find is a more detailed derivation of eq. 4 of Cosmic ray acceleration (https://ac.els-cdn.com/S09276505120...t=1549272499_454664f9ab449748e57ba10ee9c80f18) and of eq. 2 and 3 of Cosmic ray streaming. I - Effect of Alfven waves on particles (http://adsabs.harvard.edu/full/1975MNRAS.172..557S).

I know that it is difficult to find something like this, but not even in the references of the articles I found these details.