Hard-sphere gases as ideal gases with multi-core boundaries: An approach to two- and three-dimensional interacting gasesW. S. Dai1, 2 and M. Xie1, 2
1 School of Science, Tianjin University - Tianjin 300072, PRC
2 LuiHui Center for Applied Mathematics, Nankai University and Tianjin University Tianjin 300072, PRC
received 9 June 2005; accepted in final form 16 October 2005
published online 16 November 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.
05.30.-d - Quantum statistical mechanics.
05.70.Ce - Thermodynamic functions and equations of state.
© EDP Sciences 2005