Critical Temperature Determination for Simple Fluids: an Analytical Approach Based on Collective Variables Method

An explicit equation for the liquid-vapor critical temperature of simple fluids is derived within an analytic approach – the method of collective variables with a reference system. This equation is applied to calculate the critical temperature values for several hard-core van der Waals fluids. The study also examines how the critical temperature depends on parameters of the interaction. Specifically, it is observed that, as the range of attractive interaction decreases, the critical temperature decreases as well.