The quantity $Z$ in the expression $\operatorname{Pr}(\mathrm{E})=\mathrm{Z}^{-1} \mathrm{e}^{-\mathrm{E} / \mathrm{k}_{\mathrm{B}} \mathrm{T}}$ depends on the temperature $T$ of the reservoir.

Question

Quizplus · Accepted Answer

The quantity $Z$, known as the partition function, is a normalization factor that ensures probabilities sum to one. It depends on temperature $T$ as it sums over all possible energy states, each weighted by $\exp(-E/k_BT)$, where $E$ is the energy of a state, $k_B$ is the Boltzmann constant, and $T$ is the temperature.

The Quantity ZZZ In the Expression Pr⁡(E)=Z−1e−E/kBT\operatorname{Pr}(\mathrm{E})=\mathrm{Z}^{-1} \mathrm{e}^{-\mathrm{E} / \mathrm{k}_{\mathrm{B}} \mathrm{T}}Pr(E)=Z−1e−E/kB​T Depends on the Temperature

The Quantity $Z$ In the Expression $\operatorname{Pr}(\mathrm{E})=\mathrm{Z}^{-1} \mathrm{e}^{-\mathrm{E} / \mathrm{k}_{\mathrm{B}} \mathrm{T}}$ Depends on the Temperature