Geodesic
Vapor--liquid critical-point properties of a symmetric binary fluid mixture
Teoretičeskaâ i matematičeskaâ fizika, Tome 124 (2000) no. 2, pp. 339-352

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We propose a microscopic approach for investigating the behavior of a symmetric binary fluid mixture in the vicinity of the vapor–liquid critical point. The problem can be reduced to calculating the partition function of a 3D Ising model in an external field. For a square-well symmetric binary mixture, we express the parameters of the critical point as functions of the microscopic parameter $r$ measuring the relative strength of interactions between the particles of dissimilar and similar species. The calculations are performed at intermediate ($\lambda=1.5$) and moderately long ($\lambda=2$) intermolecular potential ranges. The obtained results agree well with the results of computer simulations. 
@article{TMF_2000_124_2_a10,
     author = {R. S. Melnyk and O. V. Patsahan},
     title = {Vapor--liquid critical-point properties of a symmetric binary fluid mixture},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {339--352},
     publisher = {mathdoc},
     volume = {124},
     number = {2},
     year = {2000},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_2000_124_2_a10/}
}
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R. S. Melnyk; O. V. Patsahan. Vapor--liquid critical-point properties of a symmetric binary fluid mixture. Teoretičeskaâ i matematičeskaâ fizika, Tome 124 (2000) no. 2, pp. 339-352. http://geodesic.mathdoc.fr/item/TMF_2000_124_2_a10/