Entropy of blackbody radiation

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Discussion Overview

The discussion revolves around the equation for the entropy of blackbody radiation, specifically the expression S = v∫₀^∞φ(ρ,ν)dν, where ν represents the frequency of radiation, ρ(ν) denotes radiation energy, and v is the volume. Participants explore its origins, connections to statistical mechanics, and the necessity of understanding statistical mechanics to grasp the equation fully.

Discussion Character

  • Exploratory, Technical explanation, Conceptual clarification

Main Points Raised

  • One participant seeks information about the derivation or source of the entropy equation related to blackbody radiation, referencing Einstein's photoelectric effect paper.
  • Another participant suggests that the equation may not be original to Einstein and encourages checking standard statistical mechanics textbooks for the entropy of blackbody radiation.
  • A participant admits to a lack of familiarity with statistical mechanics and expresses the need for a suitable textbook to understand the concepts better.
  • One participant recommends Greiner's book as accessible and rich in examples for learning statistical mechanics.

Areas of Agreement / Disagreement

Participants do not reach a consensus on the origins of the equation or its derivation. There are differing levels of familiarity with statistical mechanics among participants, leading to varied suggestions for resources.

Contextual Notes

Some participants express uncertainty regarding their understanding of statistical mechanics, which may limit their ability to engage with the equation fully. There is also a lack of specific references to standard texts that could clarify the relationship between the discussed equation and established theories.

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Can someone point out any information (derivation or where it comes from) about this equation:

[tex]S = v\int_0^\infty\phi(\rho,\nu)d\nu[/tex]

[tex]\nu[/tex] is frequency of radiation. [tex]\rho(\nu)[/tex] is radiation energy, v is volume.

I'm getting this from Einstein's photoelectric effect paper.

Thanks a lot!
 
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Well,i haven't seen it in this actual form.Surely it wasn't an invention by Einstein.Did you check the formula for the entropy of BB radiation in a standard SM textbook,like Schwabl or Greiner...?Can u see the connection,then ?

Daniel.
 
No. I haven't studied statistical mechanics (beyond very basic ideas of entropy), and don't have a text to compare.

I figured I'd probably need to have a good understanding of statistical mechanics before I could get through this paper.

edit: Which SM text would you recommend?
 
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Greiner's book in his series seemed accessible / readable enough and provided a wealth of worked out examples.

Daniel.
 
http://www.iop.org/EJ/abstract/0143-0807/29/5/020"
 
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