Grand Canonical Ensemble - Thermodynamic Quantities

Thermodynamic Quantities

The average number of particles of the ensemble is obtained as

And the average internal energy is

.

The partition function itself is a function of the product between pressure and volume, divided by .

Other thermodynamic potentials can be obtained through linear combination of above quantities. For example, the Helmholtz free energy (also called in some articles, can be obtained as

.

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