The Canonical Distribution without Thermodynamic Limit
Statistical Mechanics
2016-08-31 v2
Abstract
We derive the continuous canonical distribution only by requiring the extensivity of the mean energy and the multiplicative probabilistic composition rule. The derivation is independent of the thermodynamic limit and moreover it does not use the usual equal a priori probability postulate. We numerically demonstrate the implications of our derivation for the free and oscillating molecules.
Keywords
Cite
@article{arxiv.1512.01403,
title = {The Canonical Distribution without Thermodynamic Limit},
author = {Thomas Oikonomou and G. Baris Bagci},
journal= {arXiv preprint arXiv:1512.01403},
year = {2016}
}
Comments
10 pages, 6 figures