Thermodynamic geometry for binary mixtures: A constrained approach
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 restric...
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| Published in | Journal of molecular liquids Vol. 319; p. 114213 |
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| Main Authors | , , |
| Format | Journal Article |
| Language | English |
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Elsevier B.V
01.12.2020
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| Abstract | 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. |
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| AbstractList | 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. |
| ArticleNumber | 114213 |
| Author | Jaramillo-Gutiérrez, Jaime Torres-Arenas, José López-Picón, J.L. |
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| CitedBy_id | crossref_primary_10_1016_j_molliq_2021_118395 crossref_primary_10_1016_j_molliq_2022_120607 crossref_primary_10_1103_PhysRevE_109_064145 crossref_primary_10_1016_j_physa_2021_126144 crossref_primary_10_3390_e22111208 |
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| References | Jaramillo-Gutiérrez, Luis López, Torres-Arenas (bb0125) 2019; 295 Quevedo, Nettel, Cesar, Lopez-Monsalvo (bb0055) 2014; 81 Ruppeiner (bb0040) 1979; 20 Mausbach, May, Ruppeiner (bb0070) 2019; 151 Gil-Villegas, Galindo, Davies, Jackson (bb0130) 1998; 93 Ruppeiner (bb0060) 2012; 86 Callen (bb0080) 2006 Carnahan, Starling (bb0100) 1969; 51 Brody, Hook (bb0030) 2009; 42 Ginoza (bb0075) 1993; 32 Brańka, Pieprzyk, Heyes (bb0105) 2018; 97 Van Konynemburg, Scott (bb0090) 1980 Quevedo (bb0050) 2007; 48 Amari (bb0025) 1985 Mrugała (bb0015) 1984; 125 Mahalanobis (bb0005) 1936; 2 Rao (bb0010) 1945; 37 Erdem (bb0095) 2018; 49 Janiszek, Mrugała (bb0020) 1989; 27 Ruppeiner, Mausbach, May (bb0065) 2015; 379 Weinhold (bb0035) 1975; 63 Ruppeiner (bb0045) 1995; 67 Stanley (bb0085) 2006 Guggenheim (bb0135) 1952 Callen (10.1016/j.molliq.2020.114213_bb0080) 2006 Rao (10.1016/j.molliq.2020.114213_bb0010) 1945; 37 Ruppeiner (10.1016/j.molliq.2020.114213_bb0060) 2012; 86 Ruppeiner (10.1016/j.molliq.2020.114213_bb0065) 2015; 379 Ginoza (10.1016/j.molliq.2020.114213_bb0075) 1993; 32 Brańka (10.1016/j.molliq.2020.114213_bb0105) 2018; 97 Carnahan (10.1016/j.molliq.2020.114213_bb0100) 1969; 51 Jaramillo-Gutiérrez (10.1016/j.molliq.2020.114213_bb0125) 2019; 295 Ruppeiner (10.1016/j.molliq.2020.114213_bb0040) 1979; 20 Stanley (10.1016/j.molliq.2020.114213_bb0085) 2006 Mrugała (10.1016/j.molliq.2020.114213_bb0015) 1984; 125 Mausbach (10.1016/j.molliq.2020.114213_bb0070) 2019; 151 Amari (10.1016/j.molliq.2020.114213_bb0025) 1985 Erdem (10.1016/j.molliq.2020.114213_bb0095) 2018; 49 Van Konynemburg (10.1016/j.molliq.2020.114213_bb0090) 1980 Ruppeiner (10.1016/j.molliq.2020.114213_bb0045) 1995; 67 Quevedo (10.1016/j.molliq.2020.114213_bb0050) 2007; 48 Janiszek (10.1016/j.molliq.2020.114213_bb0020) 1989; 27 Mahalanobis (10.1016/j.molliq.2020.114213_bb0005) 1936; 2 Gil-Villegas (10.1016/j.molliq.2020.114213_bb0130) 1998; 93 Quevedo (10.1016/j.molliq.2020.114213_bb0055) 2014; 81 Weinhold (10.1016/j.molliq.2020.114213_bb0035) 1975; 63 Guggenheim (10.1016/j.molliq.2020.114213_bb0135) 1952 Brody (10.1016/j.molliq.2020.114213_bb0030) 2009; 42 |
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A doi: 10.1016/j.physleta.2014.12.021 contributor: fullname: Ruppeiner – volume: 151 year: 2019 ident: 10.1016/j.molliq.2020.114213_bb0070 article-title: Thermodynamic metric geometry of the two-state ST2 model for supercooled water publication-title: J. Chem. Phys. doi: 10.1063/1.5101075 contributor: fullname: Mausbach – year: 1952 ident: 10.1016/j.molliq.2020.114213_bb0135 contributor: fullname: Guggenheim – volume: 81 issue: 1 year: 2014 ident: 10.1016/j.molliq.2020.114213_bb0055 article-title: Bravetti, representation invariant geometrothermodynamics: applications to ordinary thermodynamic systems publication-title: J. Geom. Phys. contributor: fullname: Quevedo |
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