Phase space measure concentration for an ideal gas
arXiv:0811.1719 · doi:10.1142/S0217984909019259
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 Lévy and Gromov.
15 pages, No figures, Accepted by Modern Physics Letters B