Taylor expansion of dispersion relation - plasma physics

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Discussion Overview

The discussion revolves around deriving a specific equation from a paper on plasma physics, particularly focusing on the Taylor expansion of a dispersion relation. Participants are seeking assistance with the mathematical derivation presented in the paper's appendix.

Discussion Character

  • Homework-related
  • Technical explanation
  • Debate/contested

Main Points Raised

  • Sinéad requests help with deriving an equation from a referenced paper, indicating uncertainty about where to begin.
  • Some participants express confusion about the nature of the problem and ask for more details regarding Sinéad's attempts and background.
  • There is a suggestion that a graduate-level understanding is necessary to engage with the paper effectively.
  • Sinéad clarifies her background, noting a significant gap in her studies related to the topic.
  • Another participant emphasizes the importance of knowing the specific difficulties to provide effective assistance and recommends a textbook for foundational understanding.

Areas of Agreement / Disagreement

Participants generally agree that a graduate-level background is required to understand the material, but there is no consensus on how to proceed with the derivation without further information on Sinéad's specific challenges.

Contextual Notes

Participants note the need for clarity on the specific mathematical issues Sinéad is facing, as well as the implications of the thread's labeling for the expected level of discussion.

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What's your problem?
 
vanhees71 said:
What's your problem?
I have no idea how to derive the equation
 
SMannion said:
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?
 
PeterDonis said:
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?
 
SMannion said:
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.
 
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
 
SMannion said:
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.
 
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).
 

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