First-order phase transition in the framework of the cell fluid model: Regions of chemical potential variation and the corresponding densities

Abstract

A microscopic description is given for the behavior of the fluid system in an immediate vicinity of its critical point, where theoretical and experimental researches are difficult to carry out. For the temperatures $T<T_c$, the regions of chemical potential and density variations are singled out and analyzed. The equation of state of the cell fluid model in terms of temperature-chemical potential is written using the Heaviside functions. This equation is also given in terms of the temperature and density variables. As a result of the study of the relationship between the density and the chemical potential, an equation for the binodal curve is obtained in a narrow neighborhood of the critical point.

arXiv comment16 pages, 5 figures

References in corpus (5)

• Generalized Morse Potential: Symmetry and Satellite Potentials
• Recent developments of the Hierarchical Reference Theory of Fluids and its relation to the Renormalization Group
• Representation of the grand partition function of the cell model: The state equation in the mean-field approximation
• The equation of state of a cell fluid model in the supercritical region
• The phase transition of the first order in the critical region of the gas-liquid system