Assumptions of Drude and Sommerfeld Models: A Comparison

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Discussion Overview

The discussion focuses on the assumptions underlying the Drude and Sommerfeld models in solid state physics, comparing their similarities and differences. It involves conceptual analysis rather than practical applications or homework solutions.

Discussion Character

  • Conceptual clarification, Debate/contested

Main Points Raised

  • One participant notes that both models assume the presence of free electrons and acknowledge the influence of the nucleus's potential and electron-electron interactions, although the latter may be less significant.
  • Another participant states that both models assume the outcome of a collision does not depend on the configuration of electrons at the moment of collision.
  • It is mentioned that the Drude model uses Maxwell-Boltzmann statistics, while the Sommerfeld model employs Fermi-Dirac statistics for electron conduction.
  • Additionally, the Sommerfeld model is said to apply Fermi-Dirac theory to the distribution of electronic velocities.

Areas of Agreement / Disagreement

Participants generally agree on the similarities between the two models regarding free electrons and collision outcomes, but there are differing views on the statistical approaches each model employs.

Contextual Notes

The discussion does not resolve the implications of the differences in statistical treatment between the models, nor does it clarify the extent to which electron interactions are considered significant.

carlosvelcab
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What are assumptions on which the Drude model and the Sommerfeld model Match? and In which assumptions both differs?
 
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Is this a homework problem? The answer should be clear from a reading of the first few chapters of a basic solid state physics text, like Ashcroft & Mermin or Kittel.
 
No it isn't a homework, I just want to make sure that my conclusions are right.
My answer for the matches would be: In both cases were proposed a free electron besides the importance from the potential of the nucleus, and the interaction between electrons, could be important given its proximity.
And the resulting from a collision is supposed not depend of the configuration of the electrons at the collision moment

And differs is:
That drude apply the Maxwell-Boltzmann statistics and sommerfeld applies the fermi dirac statistics to the electon conduction. Sommerfeld applies the theory of fermi dirac to the electronic velocity distribution

I read the book the ashcroft before you told me, I just want to make sure that my conclusions are right
 
Yeah, that sounds about right.
 

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