Volume 72, Number 6, December 2005
|Page(s)||887 - 893|
|Published online||16 November 2005|
Hard-sphere gases as ideal gases with multi-core boundaries: An approach to two- and three-dimensional interacting gases
School of Science, Tianjin University - Tianjin 300072, PRC
2 LuiHui Center for Applied Mathematics, Nankai University and Tianjin University Tianjin 300072, PRC
Accepted: 16 October 2005
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. The equation of state for a two-dimensional hard-sphere gas is difficult to calculate by usual methods; by this approach one can calculate it directly.
PACS: 05.30.-d – Quantum statistical mechanics / 05.70.Ce – Thermodynamic functions and equations of state
© EDP Sciences, 2005
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