Entropy of Quark-Gluon Plasma Eq. of State

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SUMMARY

The discussion centers on the equation of state for quark-gluon plasma, specifically the pressure equation p=(127/6) (Stefan-Boltzmann constant/speed of light) T^4 and the internal energy equation U=3pV=(127/2)(Stefan-Boltzmann constant/speed of light)(T^4)V. Participants inquire about deriving the entropy expression from these equations and discuss the principles involved, including the first principle of thermodynamics, dU=TdS-PdV. The conversation highlights the need for clarity on how to measure plasma properties to formulate accurate equations.

PREREQUISITES
  • Understanding of thermodynamics, specifically the first law (dU=TdS-PdV).
  • Familiarity with the Stefan-Boltzmann constant and its application in physics.
  • Knowledge of quark-gluon plasma and its significance in high-energy physics.
  • Basic grasp of equations of state in thermodynamic systems.
NEXT STEPS
  • Research the derivation of entropy from thermodynamic principles.
  • Study the SAHA equation and its relevance to plasma physics.
  • Explore experimental methods for measuring properties of quark-gluon plasma.
  • Learn about advanced topics in high-energy physics related to quark-gluon interactions.
USEFUL FOR

Physicists, researchers in high-energy physics, and students studying thermodynamics and plasma physics will benefit from this discussion.

Spannie
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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: [tex]dU=TdS-PdV[/tex]


what happens if you make [tex]S=\int{\frac{dU}{T}+\frac{PdV}{T}}[/tex]?
 
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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