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There are only three reasons that the Planck function and the Maxwellian distribution are different. One is in the way they fill in energy states, which is different partly because photons are relativistic and a Maxwellian is not. The second is in the fact that you generally have a fixed number of electrons that are sharing the energy, whereas photons appear and disappear permanently, in respose to the temperature. Finally, electrons are "fermions" and photons are "bosons", which means you can only put one electron in one state, but any number of photons. Put together, those three effects are the only differences, otherwise it's all just counting the states available at any total energy. Detailed mechanisms don't matter at all, given enough time-- that's the beauty of thermodynamics in a nutshell.
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It would just be a guess, but wouldn't the two distributrion curves (Planck and Maxwellian) be similar, nevertheless?
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Only where e(h nu)/(kBT) >> 1.
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Quote:
George. Yes, the Doppler broadening increases with temperature. I was taking a tour of MIT's plasma fusion center, and somebody asked the guide what kind of "thermometer" they used...as a joke...to measure the plasma temperature. A short discourse on lines becoming bands ensued...interesting. Pete.
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A third rate theory forbids A second rate theory explains after the fact A first rate theory predicts...A. Lomonosov |
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Quote:
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__________________
Lighten up! This is a stellar board! Author: duh. "The Sun, with all the planets revolving around it, and depending on it, can still ripen a bunch of grapes as though it had nothing else in the universe to do..." Author: Galileo supposedly. |