Physics – Condensed Matter – Statistical Mechanics
Scientific paper
2006-02-25
A condensed version of this paper is published in Europhys. Lett. 72 (6), pp. 887--893 (2005)
Physics
Condensed Matter
Statistical Mechanics
9 pages, 1 figure
Scientific paper
10.1209/epl/i2005-10331-8
The equation of state for a two-dimensional hard-sphere gas is difficult to calculate by usual methods. In this paper we develop an approach for calculating the equation of state of hard-sphere gases, both for two- and three-dimensional cases. By regarding a hard-sphere gas as an ideal gas confined in a container with a multi-core (excluded sphere) boundary, we treat the hard-sphere interaction in an interacting gas as the boundary effect on an ideal quantum gas; this enables us to treat an interacting gas as an ideal one. We calculate the equation of state for a three-dimensional hard-sphere gas with spin $j$, and compare it with the results obtained by other methods. By this approach the equation of state for a two-dimensional hard-sphere gas can be calculated directly.
Dai Wu-Sheng
Xie Mi
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