{"title":"Phase Transitions","authors":"R. Swendsen","doi":"10.1093/oso/9780198853237.003.0017","DOIUrl":null,"url":null,"abstract":"Phase transitions are introduced using the van der Waals gas as an example. The equations of state are derived from the Helmholtz free energy of the ideal gas. The behavior of this model is analyzed, and an instability leads to a liquid-gas phase transition. The Maxwell construction for the pressure at which a phase transition occurs is derived. The effect of phase transition on the Gibbs free energy and Helmholtz free energy is shown. Latent heat is defined, and the Clausius–Clapeyron equation is derived. Gibbs' phase rule is derived and illustrated.","PeriodicalId":102491,"journal":{"name":"An Introduction to Statistical Mechanics and Thermodynamics","volume":"41 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2019-12-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"An Introduction to Statistical Mechanics and Thermodynamics","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1093/oso/9780198853237.003.0017","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
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Abstract

Phase transitions are introduced using the van der Waals gas as an example. The equations of state are derived from the Helmholtz free energy of the ideal gas. The behavior of this model is analyzed, and an instability leads to a liquid-gas phase transition. The Maxwell construction for the pressure at which a phase transition occurs is derived. The effect of phase transition on the Gibbs free energy and Helmholtz free energy is shown. Latent heat is defined, and the Clausius–Clapeyron equation is derived. Gibbs' phase rule is derived and illustrated.
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相变
以范德华气体为例介绍了相变。状态方程由理想气体的亥姆霍兹自由能导出。分析了该模型的行为,发现不稳定性导致液气相变。导出了发生相变时压力的麦克斯韦构造。给出了相变对吉布斯自由能和亥姆霍兹自由能的影响。定义了潜热,导出了克劳修斯-克拉珀龙方程。推导并说明了吉布斯相律。
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