The discussion revolves around the entropy of black body radiation and its relation to the Einstein solid model. Participants are exploring the interpretation of the variable q in the context of entropy calculations for both systems.
The discussion is active, with participants questioning the definitions and interpretations of variables involved. Some guidance has been offered regarding the dimensionality of q and its potential meanings in different contexts, but no consensus has been reached on the correct interpretation.
Participants are navigating assumptions about the definitions of q and its implications for the entropy calculations in both the Einstein solid and black body radiation scenarios. There is an acknowledgment of the need for clarity regarding the nature of q in these contexts.
Yes. With a proper interpretation of ##q##, this expression for ##S## will apply to both the Einstein solid and Planck's blackbody-radiation resonators (oscillators).Herculi said:
From the above expression for ##S##, ##q## must be dimensionless since ##N## and 1 are dimensionless. So, ##q## can't denote the energy ##h \nu##. What does ##q## actually represent for the Einstein solid? What does ##q## represent for the blackbody radiation system?
In Einstein solid, it is in fact the energy unit, as far as i know. I never noticed that you pointed. Thinking better, maybe q can be equal to the total energy E divided by the energy unit hv, that is, ##q = E_{tot}/hv##?TSny said:
Yes, ##q## is the total number of energy quanta in the system of N oscillators.Herculi said: