Assumptions of Drude and Sommerfeld Models: A Comparison

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SUMMARY

The Drude and Sommerfeld models share foundational assumptions regarding free electrons and the significance of nuclear potential and electron interaction. Both models assert that the outcome of electron collisions is independent of the electron configuration at the moment of collision. However, they diverge in their statistical approaches; the Drude model employs Maxwell-Boltzmann statistics, while the Sommerfeld model utilizes Fermi-Dirac statistics to describe electron conduction and velocity distribution.

PREREQUISITES
  • Understanding of solid state physics principles
  • Familiarity with Maxwell-Boltzmann statistics
  • Knowledge of Fermi-Dirac statistics
  • Basic concepts of electron conduction in materials
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  • Study the differences between Maxwell-Boltzmann and Fermi-Dirac statistics
  • Explore the implications of electron interactions in solid state physics
  • Read Ashcroft & Mermin's "Solid State Physics" for deeper insights
  • Investigate applications of the Drude and Sommerfeld models in modern physics
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Students and professionals in solid state physics, physicists analyzing electron behavior in materials, and educators seeking to clarify the distinctions between classical and quantum statistical models.

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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