National University of Shipbuilding, Geroyev Stalingrada Avenue 9, Mykolayiv, 54025 Ukraine.
Phys Rev Lett. 2012 Jul 27;109(4):040601. doi: 10.1103/PhysRevLett.109.040601. Epub 2012 Jul 24.
The well-known problem of the virial expansion low-density limitation is considered within Mayer's cluster expansion method. The expression for the configuration integral and the corresponding equation of state are presented based on this approach but not limited by the convergence radius of the series for density and activity. When taking into account any number of irreducible integrals at the thermodynamic limit, this equation of state demonstrates the exact coincidence with the virial one inside the domain of its convergence but specifies the condensation process directly outside that domain. Thus, the assumption of some researchers that the condensation should appear in the domain where the proof of the virial expansion is limited may now be regarded as confirmed, exclusively using the classical Gibbs statistics.
在 Mayer 集团展开法中考虑了 Virial 展开的低密度限制这一著名问题。基于该方法给出了构形积分的表达式和相应的状态方程，但不受密度和活度级数收敛半径的限制。在热力学极限下考虑任意多个不可约积分时，该状态方程在其收敛域内与 Virial 方程完全一致，但在该域之外直接指定了凝聚过程。因此，现在可以认为，一些研究人员的假设，即在 Virial 展开证明受限的域中应该出现凝聚，现在可以仅使用经典 Gibbs 统计来证实。
