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courses:order20:eeorder20:eeboltzman 2018/08/31 13:32 courses:order20:eeorder20:eeboltzman 2018/09/03 06:19 current
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So we could conveniently evaluate $S$ by taking a derivative of the Helmholtz free energy---which would take us in a bit of a circle, but would allow us to express $S$ directly in terms of the partition function $Z$. Once we have computed $F(T,V)$ using statistical mechanics---which really only requires that we evaluate the partition function---we can use ordinary thermodynamics to compute all other thermodynamic quantities! So we could conveniently evaluate $S$ by taking a derivative of the Helmholtz free energy---which would take us in a bit of a circle, but would allow us to express $S$ directly in terms of the partition function $Z$. Once we have computed $F(T,V)$ using statistical mechanics---which really only requires that we evaluate the partition function---we can use ordinary thermodynamics to compute all other thermodynamic quantities!
-===== Homework for Energy and Entropy =====+===== Homework =====
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