Entropy of Quark-Gluon Plasma Eq. of State

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The discussion centers on the equation of state for quark-gluon plasma, specifically the pressure and internal energy formulas derived from the Stefan-Boltzmann constant. Participants seek to derive an expression for entropy from these equations, with one suggesting the first principle of thermodynamics as a starting point. There is curiosity about the origins of the equations presented and how properties of plasma can be measured to formulate such equations. The mention of the SAHA equation indicates a consideration of alternative approaches to understanding plasma behavior. Overall, the conversation highlights the complexities of deriving thermodynamic properties in quark-gluon plasma.
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Equation of state for quark-gluon plasma is

p=(127/6) (stephan-boltzmann const/ speed of light) T^4

internal energy is

U=3pV = (127/2)(stephan-boltzmann const/ speed of light)(T^4)V

So how does one get an expression for entropy? or if anyone knows the expression what is it? (I may be able to work backwards)

Cheers
 
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Hey! Welcome to PF.

Where did you found these expressions?. I didn't know it exists a equation of state for a plasma!. The question is: how can one measure the propierties in a plasma for built up any equations?. I don't understand some people...


Well, to answer your question:

1st principle: dU=TdS-PdV


what happens if you make S=\int{\frac{dU}{T}+\frac{PdV}{T}}?
 
Spannie, could please give some info on how you acquired these formula's you are using in order to describe this quark-gluon plasma.

Shouldn't you be using the SAHA-equation ? Just a thought...

regards
marlon
 
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