Electrical & thermal conductivities

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SUMMARY

The correlation between electrical and thermal conductivities in metals is fundamentally attributed to the presence of free electrons, as highlighted in the discussion. The Wiedemann-Franz law serves as an empirical relationship rather than a mechanistic explanation, indicating that both heat and electrical transport rely on the motion of these free electrons. While more complex models can describe transport phenomena, the underlying mechanism remains the movement of free electrons. Understanding this correlation is crucial for deeper insights into thermal and electrical conductivity in metallic materials.

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  • Understanding of the Wiedemann-Franz law
  • Basic knowledge of electrical and thermal conductivity concepts
  • Familiarity with electron transport mechanisms in metals
  • Experience with empirical laws in physics
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  • Research advanced models of electron transport in metals
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  • Explore the role of free electrons in thermal and electrical conductivity
  • Investigate the derivation and limitations of the Wiedemann-Franz law
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Physicists, materials scientists, and engineers interested in the properties of metals, particularly those focusing on electrical and thermal conductivity phenomena.

bentzy
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TL;DR
What's the mechanism underlying the correlation between electrical & thermal conductivities in metals ?
What's the mechanism underlying the correlation between electrical & thermal conductivities in metals ?
 
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Wiedemann-Franz law is not the mechanism, but, rather, an empirical fact. An empirical law doesn't explain a phenomenon on its basic mechanism/s, but just gives the relation between variables. In other words, it is the result of, not its cause.
 
The relationship is based upon the fact that heat and electrical transport both involve the free electrons in the metal.
 
Right. Both are based on the motion of (nearly) free electrons (mostly). This is of course known. My question aims at the deeper level of the mechanism itself, which make up the overall picture of transport.
 
The fact that the electrons are free to move IS the mechanism in this case(!)
Of course you can use more realistic (and complicated) models for the transport; but ultimately the correlation is due to the presence of free electrons; it is not more complicated than that.
 
bentzy said:
An empirical law doesn't explain a phenomenon on its basic mechanism/s, but just gives the relation between variables.
Good thing Wikipedia has that "Derivation" tab to let you know where the law comes from.
 

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