Ideal Gas in a Finite Container

Details Ideal Gas in a Finite Container Ideal Gas in a Finite Container

1997-04-08

arxiv.org/abs/physics/9704006v1

Am. J. of Phys., vol 64, 503 (1996)

Physics

Physics Education

13 pages total (Latex source), including one table and one ps figure

Scientific paper

10.1119/1.18202

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.

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