Phase space measure concentration for an ideal gas

Details Phase space measure concentration for an ideal gas Phase space measure concentration for an ideal gas

2008-11-11

arxiv.org/abs/0811.1719v1

Mod. Phys. Lett. B 23, (2009), pp. 1013-1025

Physics

Condensed Matter

Statistical Mechanics

15 pages, No figures, Accepted by Modern Physics Letters B

Scientific paper

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.

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