Temperature and equipartition in discrete systems
Statistical Mechanics
2024-07-11 v1
Abstract
The generalized equipartition theorem known as the conjugate variables theorem (Phys. Rev. E 86, 051136 [2012]), originally obtained in the context of statistical inference of continuous random variables, is extended in this work to the case of discrete variables. Using this new set of theorems we derive novel thermodynamic identities for the canonical ensemble connecting temperature with measurable observables.
Cite
@article{arxiv.2407.07772,
title = {Temperature and equipartition in discrete systems},
author = {Sergio Davis},
journal= {arXiv preprint arXiv:2407.07772},
year = {2024}
}