Physics — Statistical Mechanics
Partition function, ensemble averages and entropy.
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Z = \sum_i e^{-\beta E_i}
\langle E \rangle = -\frac{\partial \ln Z}{\partial \beta}
S = k_B \ln \Omega
F = -k_B T \ln Z
Partition function, ensemble averages and entropy.
Z = \sum_i e^{-\beta E_i}
\langle E \rangle = -\frac{\partial \ln Z}{\partial \beta}
S = k_B \ln \Omega
F = -k_B T \ln Z