Abstract: Martin-Hou equation of state (1955) can be derived on the basis of the multi square-well nonspherical potential hard partical perturbation theory. With turther approximation van der Waals equation of state and Joffle equation of state modified by Barner and Adler can also be derived. Van der Waals equation is the simplest expansion of the perturbation theory. It is truncated to retain only the first-order perturbation term, the first power of the density expansion and the first term of the series expression of the hard particle reference fluid. Joffle-Barner-Adler equation retains higher-order perturbation terms, but unfortunately, it only has one term for the hard particle reierence fluid expression as in the case of van der Waals equation. Therefore the contributions of the repulsive forces can not be accurately represented. The theoretical basis of Martin-Hou equation is comparatively more adequate. It retains the higher-order perturbation terms and the higher-power terms of the hard particle reference fluid expression.

摘要： 本文从多方阱非球形势硬粒子微扰理论出发,通过适当的近似与化简,导出了马丁-侯状态方程,从而使这个由经验提出的状态方程得到了统计力学的证明与解释.从多方阱非球形势硬粒子微扰理论出发,通过更粗略的近似也能得到范德华状态方程以及Barner与Adler改进的(?)offie状态方程.由理论分析,马丁-侯方程较为全面,不仅有高级微扰项,保留了多级密度展开式,同时取用了较精确的多级参考流体状态方程.