{"title":"临界点附近莫尔斯流体液气共存曲线的微观描述","authors":"I.V. Pylyuk, M.P. Kozlovskii, R.V. Romanik","doi":"10.1016/j.fluid.2025.114551","DOIUrl":null,"url":null,"abstract":"<div><div>The present work is aimed at investigating the behavior of Morse fluids in the immediate vicinity of the critical point within the framework of a cell model. This region is of both fundamental and practical importance, yet presents analytical challenges due to the significant influence of order parameter fluctuations. An analytical procedure is developed to construct the upper part of the liquid–gas coexistence curve and calculate its diameter, incorporating the non-Gaussian (quartic) distribution of fluctuations. An explicit expression is derived for the temperature-dependent analytical term appearing in the expression for the rectilinear diameter. The numerical evaluation of the relevant quantities is carried out using Morse potential parameters representative of sodium. The coexistence curve is constructed both with and without the inclusion of the analytical temperature-dependent term in the calculation. A specific condition is identified under which the agreement between the presented binodal branches and Monte Carlo simulation data from other study, extrapolated to the immediate vicinity of the critical point, is improved. It is shown that better agreement is achieved when the analytical term is included in the calculation of the liquid branch and omitted in the gas branch. The proposed analytical approach may provide useful insight for the theoretical study of critical phenomena in more complex fluid systems.</div></div>","PeriodicalId":12170,"journal":{"name":"Fluid Phase Equilibria","volume":"600 ","pages":"Article 114551"},"PeriodicalIF":2.7000,"publicationDate":"2025-08-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Microscopic description of the liquid–gas coexistence curve for Morse fluids in the immediate vicinity of the critical point\",\"authors\":\"I.V. Pylyuk, M.P. Kozlovskii, R.V. Romanik\",\"doi\":\"10.1016/j.fluid.2025.114551\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><div>The present work is aimed at investigating the behavior of Morse fluids in the immediate vicinity of the critical point within the framework of a cell model. This region is of both fundamental and practical importance, yet presents analytical challenges due to the significant influence of order parameter fluctuations. An analytical procedure is developed to construct the upper part of the liquid–gas coexistence curve and calculate its diameter, incorporating the non-Gaussian (quartic) distribution of fluctuations. An explicit expression is derived for the temperature-dependent analytical term appearing in the expression for the rectilinear diameter. The numerical evaluation of the relevant quantities is carried out using Morse potential parameters representative of sodium. The coexistence curve is constructed both with and without the inclusion of the analytical temperature-dependent term in the calculation. A specific condition is identified under which the agreement between the presented binodal branches and Monte Carlo simulation data from other study, extrapolated to the immediate vicinity of the critical point, is improved. It is shown that better agreement is achieved when the analytical term is included in the calculation of the liquid branch and omitted in the gas branch. The proposed analytical approach may provide useful insight for the theoretical study of critical phenomena in more complex fluid systems.</div></div>\",\"PeriodicalId\":12170,\"journal\":{\"name\":\"Fluid Phase Equilibria\",\"volume\":\"600 \",\"pages\":\"Article 114551\"},\"PeriodicalIF\":2.7000,\"publicationDate\":\"2025-08-14\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Fluid Phase Equilibria\",\"FirstCategoryId\":\"5\",\"ListUrlMain\":\"https://www.sciencedirect.com/science/article/pii/S0378381225002213\",\"RegionNum\":3,\"RegionCategory\":\"工程技术\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q3\",\"JCRName\":\"CHEMISTRY, PHYSICAL\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Fluid Phase Equilibria","FirstCategoryId":"5","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S0378381225002213","RegionNum":3,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"CHEMISTRY, PHYSICAL","Score":null,"Total":0}
Microscopic description of the liquid–gas coexistence curve for Morse fluids in the immediate vicinity of the critical point
The present work is aimed at investigating the behavior of Morse fluids in the immediate vicinity of the critical point within the framework of a cell model. This region is of both fundamental and practical importance, yet presents analytical challenges due to the significant influence of order parameter fluctuations. An analytical procedure is developed to construct the upper part of the liquid–gas coexistence curve and calculate its diameter, incorporating the non-Gaussian (quartic) distribution of fluctuations. An explicit expression is derived for the temperature-dependent analytical term appearing in the expression for the rectilinear diameter. The numerical evaluation of the relevant quantities is carried out using Morse potential parameters representative of sodium. The coexistence curve is constructed both with and without the inclusion of the analytical temperature-dependent term in the calculation. A specific condition is identified under which the agreement between the presented binodal branches and Monte Carlo simulation data from other study, extrapolated to the immediate vicinity of the critical point, is improved. It is shown that better agreement is achieved when the analytical term is included in the calculation of the liquid branch and omitted in the gas branch. The proposed analytical approach may provide useful insight for the theoretical study of critical phenomena in more complex fluid systems.
期刊介绍:
Fluid Phase Equilibria publishes high-quality papers dealing with experimental, theoretical, and applied research related to equilibrium and transport properties of fluids, solids, and interfaces. Subjects of interest include physical/phase and chemical equilibria; equilibrium and nonequilibrium thermophysical properties; fundamental thermodynamic relations; and stability. The systems central to the journal include pure substances and mixtures of organic and inorganic materials, including polymers, biochemicals, and surfactants with sufficient characterization of composition and purity for the results to be reproduced. Alloys are of interest only when thermodynamic studies are included, purely material studies will not be considered. In all cases, authors are expected to provide physical or chemical interpretations of the results.
Experimental research can include measurements under all conditions of temperature, pressure, and composition, including critical and supercritical. Measurements are to be associated with systems and conditions of fundamental or applied interest, and may not be only a collection of routine data, such as physical property or solubility measurements at limited pressures and temperatures close to ambient, or surfactant studies focussed strictly on micellisation or micelle structure. Papers reporting common data must be accompanied by new physical insights and/or contemporary or new theory or techniques.