Equation of state for all regimes of a fluid: from gas to liquid

Abstract

The study of Mayer's cluster expansion (CE) for the partition function demonstrates a possible way to resolve the problem of the CE non-physical behavior at condensed states of fluids. In particular, a general equation of state is derived for finite closed systems of interacting particles, where the pressure is expressed directly in terms of the density (or system volume) and temperature-volume dependent reducible cluster integrals. Although its accuracy is now greatly affected by the limited character of the existing data on the reducible cluster integrals and, especially, the absence of any information on their density dependence, a number of simple approximations indicate the qualitative adequacy of this equation in various regimes of a fluid: from gaseous to liquid states (including the transition region).

Regular article, 11 pages, 5 figures

References in corpus (2)

• Virial expansion and condensation with a new generating function
• Evidence for the first-order phase transition at the divergence region of activity expansions

Cited by in corpus (5)

• Evidence for the first-order phase transition at the divergence region of activity expansions
• Adiabatic lapse rate of non-ideal gases: The role of molecular interactions and vibrations
• Advances of Mayer's cluster approach in quantitative theoretical description of phase transitions for various lattice models of matter
• Adiabatic lapse rate of real gases
• Enhanced approach to calculation of cluster integrals for lattice models of matter