- #1

soumobrata

- 6

- 2

Is the mathematical expression of the above two Partition function are same?

If it is then why??

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- Thread starter soumobrata
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- #1

soumobrata

- 6

- 2

Is the mathematical expression of the above two Partition function are same?

If it is then why??

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- #2

- 8,942

- 2,933

- Total Energy
- Volume
- Number of particles (of each type)

The expressions for the partition function definitely are different in the two cases. The canonical partition function, [itex]Z(N,V,T)[/itex] is a function of T, V, and N, while the microcanonical partition function, [itex]\Omega(N,V,E)[/itex] is a function of E, V and N. The microcanonical partition function is usually called the "density of states". They are related to thermodynamic quantities:

[itex]Z = e^{-A/kT}[/itex] where [itex]A[/itex] is the Helmholtz free energy, [itex]A = E - TS[/itex].

[itex]\Omega = e^{S/k}[/itex] where [itex]S[/itex] is the entropy

- #3

soumobrata

- 6

- 2

Thanks i will show u a problem tomorrow...then my doubts wiil be clear!

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