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Lagrange Multipliers in Canonical Ensemble by Bastian Astudillo is a document available to read on EtoBox.
This document derives the canonical distribution using the method of Lagrange multipliers for a system of non-interacting particles with fixed total energy and number of particles. It shows that the probability of finding a particle in a given energy level is the Maxwell-Boltzmann distribution. It also generalizes the derivation to consider degenerate energy levels.
- Author
- Bastian Astudillo
- Language
- EN