Liquid–gas Phase Transition to First Order of an Argon-Like Fluid Modeled by the Hard-Core Similar Sutherland Potential

Abstract

In this paper, an argon-like canonical system is studied. We introduce five hypothesis to deal with the total potential of the system. Then the balanced liquid-gas coexistence phenomenon is analyzed. Good equations of state and phase diagram are given.

Equations of state for fluids based on hard sphere repulsion

“…1,3,35 The corresponding diagrams are shown in here we remind that DA-type equations give the best prediction to the saturated liquid density and RKA can be regarded as a reasonable candidate for attractions. We have illustrated the AAD results of the predicted saturated pressure from each equation in Table 4.…”

“…For example, the hard sphere system can be present as stable fluid, metastable fluid, solid (body-centered or face-centered cubic crystals), glassy state and random closepacked state. [1][2][3][4][5][6][7][8] On the other hand, it is well accepted that the structural features of real system are determined primarily by the repulsive intermolecular potential. 4,9 For these reasons, hard sphere system is commonly used as reference system in the statistical mechanics, 7 macroscopic thermodynamics of more complicated model systems and real systems 4,7,8 and inhomogeneous fluids.…”

“…[11][12][13][14][15][16][17] Among the numerous EOSs, the virial equation is the unique equation-of-state (EOS) that is exact in statistical mechanics (free of any ad hoc assumption) and can be systematically improved by adding higher order terms. The virial equation is expressed as 3,4,13,18 …”