Solid-like features in dense vapors near the fluid critical point

The phase diagram (pressure versus temperature) of the pure fluid is typically envisioned as being featureless apart from the presence of the liquid-vapor coexistence curve terminating at the critical point. However, a number of recent authors have proposed that this simple picture misses important features, such as the Widom line, the Fisher-Widom line, and the Frenkel line. In our paper we discuss another way of augmenting the pure fluid phase diagram, lines of zero thermodynamic curvature $R=0$ separating regimes of fluid solid-like behavior ($R>0$) from gas-like or liquid-like behavior ($R<0$). We systematically evaluate $R$ for the $121$ pure fluids in the NIST/REFPROP (version 9.1) fluid database near the saturated vapor line from the triple point to the critical point. Our specific goal was to identify regions of positive $R$ abutting the saturated vapor line ("feature D"). We found: a) $97/121$ of the NIST/REFPROP fluids have feature D. b) The presence and character of feature D correlates with molecular complexity, taken to be the number of atoms $Q$ per molecule. c) The solid-like properties of feature D might be attributable to a mesoscopic model based on correlations among coordinated spinning molecules, a model that might be testable with computer simulations. d) There are a number of correlations between thermodynamic quantities, including the acentric factor $\omega$, but we found little explicit correlation between $\omega$ and the shape of a molecule. e) Feature D seriously constrains the size of the asymptotic fluid critical point regime, possibly resolving a long-standing mystery about why these are so small. f) Feature D correlates roughly with regimes of anomalous sound propagation.