those shown in Table I of Ref. [29]. IV. RESULTS AND DISCUSSIONS We start our discussion with an analysis of the critical values of HCAY fluid. Table I presents the reduced critical temperature T ∗ c and density ρ ∗ c for a wide range of κ predicted by both simulations and several theoretical approaches, namely, the S-SCOZA and M-SCOZA described in the previous section, the TPT by Zhou [14], and the equation of state (EOS) by Duh and Mier-Y-Teran [22]. We recall that, as λ is increased, the liquid-vapor critical point becomes metastable with respect to freezing. According to many theoretical and simulation studies [1, 6–8, 10, 11], for λ ≥ 7 the metastable regime has alreday set in. 8 κ T ∗ c ρ ∗ c Method Ref. 1.8 1.180 0.313 NVT-MC [34] 1.8 1.180 0.315 GC-TMMC [36] 1.8 1.212 0.312 GC-FSS a [28] 1.8 1.219 0.314 S-SCOZA [28] 1.8 1.246 0.310 TPT [14] 1.8 1.240 0.318 MSA-EOS [22] 2.0 1.050 0.322 NVT-MC [34] 2.0 1.088 0.323 S-SCOZA this work 2.5 0.840 0.336 NVT-MC [34] 2.5 0.871 0.342 S-SCOZA this work 3.0 0.721 0.356 NVT-MC [34] 3.0 0.722 0.355 GC-TMMC [36] 3.0 0.740 0.359 S-SCOZA this work 3.0 0.764 0.379 MSA-EOS [22] 4.0 0.581 0.380 NVT-MC [33] 4.0 0.572 0.385 GC-TMMC [36] 4.0 0.591 0.389 S-SCOZA [23] 4.0 0.579 0.375 M-SCOZA this work 4.0 0.588 0.414 TPT [14]