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Gurin P, Varga S, Odriozola G. The role of the second virial coefficient in the vapor-liquid phase coexistence of anisotropic square-well particles. J Mol Liq 2022. [DOI: 10.1016/j.molliq.2022.119528] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/18/2022]
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Melnyk R, Kalyuzhnyi Y, Kahl G, Baumketner A. Liquid–gas critical point of a two-dimensional system of hard ellipses with attractive wells. J Chem Phys 2022; 156:034102. [DOI: 10.1063/5.0072522] [Citation(s) in RCA: 2] [Impact Index Per Article: 1.0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
Affiliation(s)
- R. Melnyk
- Institute for Condensed Matter Physics, National Academy of Sciences of Ukraine, 1 Svientsistsky Str., Lviv UA-79011, Ukraine
| | - Y. Kalyuzhnyi
- Institute for Condensed Matter Physics, National Academy of Sciences of Ukraine, 1 Svientsistsky Str., Lviv UA-79011, Ukraine
| | - G. Kahl
- Institute for Theoretical Physics and Center for Computational Materials Science (CMS), TU Wien, Wiedner Hauptstraße 8-10/136, A-1040 Wien, Austria
| | - A. Baumketner
- Institute for Condensed Matter Physics, National Academy of Sciences of Ukraine, 1 Svientsistsky Str., Lviv UA-79011, Ukraine
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Gómez de Santiago M, Gurin P, Varga S, Odriozola G. Extended law of corresponding states: square-well oblates. JOURNAL OF PHYSICS. CONDENSED MATTER : AN INSTITUTE OF PHYSICS JOURNAL 2021; 34:104002. [PMID: 34874295 DOI: 10.1088/1361-648x/ac3fd8] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Subscribe] [Scholar Register] [Received: 10/02/2021] [Accepted: 12/03/2021] [Indexed: 06/13/2023]
Abstract
The vapour-liquid coexistence collapse in the reduced temperature,Tr=T/Tc, reduced density,ρr=ρ/ρc, plane is known as a principle of corresponding states, and Noro and Frenkel have extended it for pair potentials of variable range. Here, we provide a theoretical basis supporting this extension, and show that it can also be applied to short-range pair potentials where both repulsive and attractive parts can be anisotropic. We observe that the binodals of oblate hard ellipsoids for a given aspect ratio (κ= 1/3) with varying short-range square-well interactions collapse into a single master curve in theΔB2*-ρrplane, whereΔB2*=(B2(T)-B2(Tc))/v0,B2is the second virial coefficient, andv0is the volume of the hard body. This finding is confirmed by both REMC simulation and second virial perturbation theory for varying square-well shells, mimicking uniform, equator, and pole attractions. Our simulation results reveal that the extended law of corresponding states is not related to the local structure of the fluid.
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Affiliation(s)
- Miguel Gómez de Santiago
- Área de Física de Procesos Irreversibles, División de Ciencias Básicas e Ingeniería, Universidad Autónoma Metropolitana-Azcapotzalco, Av. San Pablo 180, 02200 Ciudad de México, Mexico
| | - Péter Gurin
- Physics Department, Center for Natural Sciences, Faculty of Engineering, University of Pannonia, PO Box 158, Veszprém H-8201, Hungary
| | - Szabolcs Varga
- Physics Department, Center for Natural Sciences, Faculty of Engineering, University of Pannonia, PO Box 158, Veszprém H-8201, Hungary
| | - Gerardo Odriozola
- Área de Física de Procesos Irreversibles, División de Ciencias Básicas e Ingeniería, Universidad Autónoma Metropolitana-Azcapotzalco, Av. San Pablo 180, 02200 Ciudad de México, Mexico
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Franco-Melgar M, Haslam AJ, Jackson G. Advances in generalised van der Waals approaches for the isotropic–nematic fluid phase equilibria of thermotropic liquid crystals–an algebraic equation of state for attractive anisotropic particles with the Onsager trial function. Mol Phys 2009. [DOI: 10.1080/00268970903352335] [Citation(s) in RCA: 25] [Impact Index Per Article: 1.7] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/20/2022]
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Green MJ, Parra-Vasquez ANG, Behabtu N, Pasquali M. Modeling the phase behavior of polydisperse rigid rods with attractive interactions with applications to single-walled carbon nanotubes in superacids. J Chem Phys 2009; 131:084901. [DOI: 10.1063/1.3204024] [Citation(s) in RCA: 59] [Impact Index Per Article: 3.9] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
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García-Sánchez E, Martínez-Richa A, Villegas-Gasca JA, Mendoza-Huizar LH, Gil-Villegas A. Predicting the Phase Diagram of a Liquid Crystal Using the Convex Peg Model and the Semiempirical PM3 Method. J Phys Chem A 2002. [DOI: 10.1021/jp021453o] [Citation(s) in RCA: 19] [Impact Index Per Article: 0.9] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/30/2022]
Affiliation(s)
- Eduardo García-Sánchez
- Facultad de Química, Universidad de Guanajuato, Noria Alta s/n, Guanajuato, Gto., 36050, México, Instituto de Física, Universidad de Guanajuato, Lomas del Bosque 103, León, Gto., 37150, México, and Molecular Engineering Program, Instituto Mexicano del Petróleo, México
| | - Antonio Martínez-Richa
- Facultad de Química, Universidad de Guanajuato, Noria Alta s/n, Guanajuato, Gto., 36050, México, Instituto de Física, Universidad de Guanajuato, Lomas del Bosque 103, León, Gto., 37150, México, and Molecular Engineering Program, Instituto Mexicano del Petróleo, México
| | - José Antonio Villegas-Gasca
- Facultad de Química, Universidad de Guanajuato, Noria Alta s/n, Guanajuato, Gto., 36050, México, Instituto de Física, Universidad de Guanajuato, Lomas del Bosque 103, León, Gto., 37150, México, and Molecular Engineering Program, Instituto Mexicano del Petróleo, México
| | - Luis Humberto Mendoza-Huizar
- Facultad de Química, Universidad de Guanajuato, Noria Alta s/n, Guanajuato, Gto., 36050, México, Instituto de Física, Universidad de Guanajuato, Lomas del Bosque 103, León, Gto., 37150, México, and Molecular Engineering Program, Instituto Mexicano del Petróleo, México
| | - Alejandro Gil-Villegas
- Facultad de Química, Universidad de Guanajuato, Noria Alta s/n, Guanajuato, Gto., 36050, México, Instituto de Física, Universidad de Guanajuato, Lomas del Bosque 103, León, Gto., 37150, México, and Molecular Engineering Program, Instituto Mexicano del Petróleo, México
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