A STATISTICAL MODEL OF CONDENSED MATTER

摘要

A generalized lattice model of condensed molecular systems is developed in the framework of statistical theory. Based on the known thermodynamic and statistical relations for the grand thermodynamic potential, entropy, and energy of a system with the occupation numbers of cells (lattice sites ) formally corresponding to the Fermi-Dirac statistics, a van der Waals-like equation of state is derived ,which contains a logarithmic term instead of the hyperbolic one. By varying the unknown parameters of the grand thermodynamic potential (internal parameters of the thermodynamic system),a nonlinear equation is obtained which allows all types of phase transitions in a simple molecular system (solid-liquid, liquid-vapor, and solid-vapor).