Grand Potential - Ideal Gas

Ideal Gas

For an ideal gas,

\Phi_{G} = - k_{B} T \ln(\Xi) = - k_{B} T Z_{1} e^{\beta \mu}

where Ξ is the grand partition function, kB is Boltzmann constant, Z1 is the partition function for 1 particle and β = 1/kBT is the inverse temperature. The factor eβμ is the Boltzmann factor.

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