On the cocycle structure of the Boltzmann distribution
Abstract
Abstract Based on a cocycle structure, we identify a new derivation of the Boltzmann distribution for finite energy-level systems from the maximal entropy principle (MEP). Our approach does not rely on the method of the Lagrange multiplier, and it provides a more transparent way to understand the dependence on the energy levels of the temperature T = 1/ β for the equilibrium distribution. Finally, we make two curious observations associated with our derivations.
Fields of Study & Subjects
Statistical Mechanics and Entropy
Advanced Thermodynamics and Statistical Mechanics
Complex Systems and Time Series Analysis
Publication details
- Journal / source
- Transport Phenomena
- Volume
- 1
- Issue
- 1
- Publication date
- 4 February 2026
- Language
- EN