Statistical Mechanics

Bridge between microscopic dynamics and macroscopic thermodynamics.

Jun 12, 2026··Fork (sign in)

review

Boltzmann distribution, partition functions, and entropy from a statistical viewpoint.

Boltzmann Distribution

The probability of a microstate with energy $E_i$ at temperature $T$ :

P_i = \frac{e^{-E_i/k_BT}}{Z}, \quad Z = \sum_i e^{-E_i/k_BT}