Thermo / Stat Mech
Partition function, free energy, Boltzmann distribution.
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Z = \sum_{i} e^{-\beta E_i}
F = -k_B T \ln Z
P(E_i) = \frac{e^{-\beta E_i}}{Z}
S = -k_B \sum_i p_i \ln p_i
Partition function, free energy, Boltzmann distribution.
Z = \sum_{i} e^{-\beta E_i}
F = -k_B T \ln Z
P(E_i) = \frac{e^{-\beta E_i}}{Z}
S = -k_B \sum_i p_i \ln p_i