Ideal Gas in a Finite Container
Physics Education
2009-10-30 v1
Abstract
The thermodynamics of an ideal gas enclosed in a box of volume a1 x a2 x a3 at temperature T is considered. The canonical partition function of the system is expressed in terms of complete elliptic integrals of the first kind, whose argument obeys a transcendental equation. For high and low temperatures we derive explicitly the main finite-volume corrections to the standard thermodynamic quantities.
Cite
@article{arxiv.physics/9704006,
title = {Ideal Gas in a Finite Container},
author = {M. I. Molina},
journal= {arXiv preprint arXiv:physics/9704006},
year = {2009}
}
Comments
13 pages total (Latex source), including one table and one ps figure