Canonical entropy formula
= Canonical entropy formula
= Canonical entropy
{synonym}
For $Z=\sum_i e^{-\beta E_i}$ and $U=\langle E\rangle$, the <entropy> is $S=k_B\ln Z+U/T$. It follows directly by substituting canonical probabilities into $S=-k_B\sum_i p_i\ln p_i$.