Phase space measure concentration for an ideal gas
Statistical Mechanics
2015-05-13 v1 High Energy Physics - Theory
Mathematical Physics
math.MP
Abstract
We point out that a special case of an ideal gas exhibits concentration of the volume of its phase space, which is a sphere, around its equator in the thermodynamic limit. The rate of approach to the thermodynamic limit is determined. Our argument relies on the spherical isoperimetric inequality of L\'{e}vy and Gromov.
Cite
@article{arxiv.0811.1719,
title = {Phase space measure concentration for an ideal gas},
author = {Anthony J. Creaco and Nikos Kalogeropoulos},
journal= {arXiv preprint arXiv:0811.1719},
year = {2015}
}
Comments
15 pages, No figures, Accepted by Modern Physics Letters B