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Thermodynamics · undergrad

Partition Function

The statistical object from which thermodynamic quantities are derived.

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Partition Function

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Canonical Ensemble

For states with energies EiE_i,

Z=ieβEi,β=1kBT.Z = \sum_i e^{-\beta E_i}, \qquad \beta = \frac{1}{k_B T}.

Free Energy

The Helmholtz free energy is

F=kBTlnZ.F = -k_B T\ln Z.
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