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What coordinates, microscopic or macroscopic, are used in statistical systems? How are the macroscopic variables are related.
In statistical mechanics entropy will be defined in terms of partition function'' and $V,T$, pressure will be introduced as average quantities which can be computed. Then all other thermodynamic functions can be computed. Once the partition function is known.
| Thermodynamics Macroscopic Variables |
Statistical Mechanics |
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| 1) | \(P,V, T \) | \(V\), internal energy | |
| 2) | \(S,U\) | (T\) and partition function | |
| 3) | \(F,G,H\) in terms of \(S,U,P,V,T\) | Entropy in terms of \(Z\) Pressure etc are average quantities | |
| 4) | Laws of Thermodynamics |
The two descriptions are related in the sense that macroscopic quantities are average over a large number of similar systems.
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