A Taylor expansion of dispersion relation - plasma physics

[SMannion]

Hello,

I may working through attached paper and really need help with deriving equation in appendix - A4 to give A10.
http://iopscience.iop.org/article/10.1088/0004-637X/744/2/182/pdf

Any help would be greatly appreciated.
thanks,
Sinéad

 

[vanhees71]

What's your problem?

 

[SMannion]

What's your problem?

I have no idea how to derive the equation

 

[PeterDonis]

I have no idea how to derive the equation

We need more information than that. What have you tried? Have you looked at the references given in the paper?

 

[SMannion]

We need more information than that. What have you tried? Have you looked at the references given in the paper?

I need help with the maths, I am unsure how or where to begin with this?

 

[PeterDonis]

I need help with the maths, I am unsure how or where to begin with this?

You labeled this thread as "A" for advanced. That implies that you have a graduate level understanding of the subject matter. What background do you have in this field? The paper you referenced is definitely at the "A" level, and you would need a graduate level background to be able to understand it or to reproduce any derivations it discusses.

 

[SMannion]

My apologies, I thought the "A" was for the content level. I am a graduate but not in maths, it has been about 20 years since I studied anything like this.
Any help people could provide would be greatly appreciated

 

[PeterDonis]

I thought the "A" was for the content level

It can reflect both. Sometimes there are various levels at which content can be discussed, so the thread level gives readers an idea of your background so we know what level the discussion should be at. But truly "A" level content very often (as in this case) requires an "A" level background to have a useful discussion, because pretty much any questions you could ask are only answerable at the "A" level.

 

[vanhees71]

The content of this thread is clearly A level, but it is impossible to help, if we don't know, where the problems are. For a very good introduction to transport theory and a brillant treatment of plasma physics, see the cited textbook by Landau and Lifshitz, vol. X (Kinetics).