Thermodynamic geometry for binary mixtures: A constrained approach

• Published in: Journal of molecular liquids Vol. 319; p. 114213
• Main Authors: Jaramillo-Gutiérrez, Jaime, López-Picón, J.L., Torres-Arenas, José
• Format: Journal Article
• Language: English
• Published: Elsevier B.V 01.12.2020
• ISSN: 0167-7322; 1873-3166
• DOI: 10.1016/j.molliq.2020.114213

Thermodynamic geometry for binary mixtures is explored in a constrained version. In order to have an insight into the interpretation of the scalar curvature (R) for mixtures, we develop and discuss the thermodynamic geometry for binary mixtures of hard spheres and van der Waals fluids with a restriction in the total particle number. For the case of hard spheres we have an interaction which is exclusively repulsive and van der Waals fluids account for repulsive and attractive interactions, which is a more realistic model. From our analysis, it is seen that the physical interpretation of R given for monocomponent systems, is no longer satisfied for the case of mixture of ideal gases and hard spheres. For the constrained version of the mixture of van der Waals fluids, we have that the scalar curvature nicely reproduces the behavior observed for the monocomponent fluid, including the interpretation of R as an indicator of repulsive or attractive intermolecular interactions and phase transitions. •The thermodynamic Geometry (TG) for constrained binary mixtures is explored.•TG for mixture of ideal gases, hard spheres and van der Waals fluids is presented.•An anomalous scalar curvature for hard spheres is found.•TG nicely predicts the critical point of a binary mixture of van der Waals fluids.