Free electron Theory and Boltzmann Transport equation

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Discussion Overview

The discussion revolves around the application of Maxwell-Boltzmann and Fermi-Dirac statistics to free electrons, as well as the parameters of the Boltzmann Transport equation. Participants seek clarification on theoretical concepts rather than practical homework solutions.

Discussion Character

  • Exploratory
  • Technical explanation
  • Debate/contested

Main Points Raised

  • Some participants inquire about the conditions under which Maxwell-Boltzmann and Fermi-Dirac statistics are applicable to free electrons.
  • Others request explanations of each parameter in the Boltzmann Transport equation, highlighting terms like the influence of electric or magnetic fields, force acting on particles, and the change in distribution function due to scattering.
  • A participant expresses frustration over perceived lack of assistance and clarity regarding what specific terms need explanation in the Boltzmann Transport equation.
  • There are suggestions that the forum may not be the best place for broad theoretical inquiries without prior background study.

Areas of Agreement / Disagreement

Participants do not reach a consensus on the appropriateness of the questions posed or the level of prior knowledge expected. There is disagreement on whether the inquiries are suitable for the forum and whether sufficient effort has been made by the original poster to understand the material.

Contextual Notes

Some limitations are noted regarding the clarity of the original poster's understanding and the specific terms they seek to clarify in the Boltzmann Transport equation. The discussion reflects varying expectations of prior knowledge and the nature of theoretical questions.

shayaan_musta
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Hello!

I have two questions for knowledge.

Q) Explain under what conditions Maxwell Boltzmann and Fermi Dirac statistics are applied on free electrons.

Q) Explain each parameter of Boltzmann Transport's equation.

Thank you in advance. :-)
 
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Please post homework questions in the homework forum and remember to show what work you can do.
 
Hello..

I said above it is for knowledge, by the way it is not related to my field, someone asked me about this so I said I don't know.
That's why I post this question here. Obviously it is not homework.

I just want to know. And it is not a mathematical work that could I show you my work, it is theoretical, isn't it?
 
shayaan_musta,

I said above it is for knowledge, by the way it is not related to my field, someone asked me about this so I said I don't know.
That's why I post this question here. Obviously it is not homework.

I just want to know. And it is not a mathematical work that could I show you my work, it is theoretical, isn't it?

Do you expect anyone to answer those questions in a few words? Did you try to first gain knowledge about that subject by reading a book or other references? This forum cannot replace a background study program. If you have any specific narrow focused questions, then someone can probably help you.

Ratch
 
shayaan_musta said:
Hello!

I have two questions for knowledge.

Q) Explain under what conditions Maxwell Boltzmann and Fermi Dirac statistics are applied on free electrons.

Q) Explain each parameter of Boltzmann Transport's equation.

Thank you in advance. :-)

https://www.physicsforums.com/blog.php?b=3588

Especially #4, since we have no clue on whether you have any knowledge of Solid State Physics or not.

Zz.
 
Last edited by a moderator:
Do you expect anyone to answer those questions in a few words? Did you try to first gain knowledge about that subject by reading a book or other references? This forum cannot replace a background study program. If you have any specific narrow focused questions, then someone can probably help you.

Thank you for reply.
Yes brother I tried to gain knowledge. When someone asked me about this question then I read book named solid state physics by R.K.Puri but when I saw review question then I couldn't be able to reveal the answers of above questions while other question in book seems OK to me.

By the way, here is Boltzmann Transport Equation,
\frac{df}{dt}=-\underline{V}.∇f-\underline{F}.∇_{p}f+(\frac{df}{dt})_{coll}
Where,
\frac{df}{dt}=influence of electric field or magnetic field or a temperature gradient.
\underline{F}=force acting on the particles of distributions at the point.
∇_{p}=gradient operator in momentum space.
(\frac{df}{dt})_{coll}=change in distribution function due to scattering process.
Now can you tell me about remaining terms?
 
Last edited:
OK. So no one here to help me ?
 
shayaan_musta said:
OK. So no one here to help me ?

I repeat, your request is puzzling, and it is unclear what you have attempted yourself. For example, you are asking for an explanation of the "remaining" terms in the Boltzmann transport equation. WHAT remaining terms? The "V"? You had already listed the definition of everything else! I find it puzzling that (i) the text that you got the equation from has no explanation or definition of what this is and (ii) you can't do your own search to find this out.

Zz.
 

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