{"title":"Exact phenomenological theory for thermotransport in a solid binary alloy","authors":"I. Belova, Zi-kui Liu, G. Murch","doi":"10.1080/09500839.2020.1871088","DOIUrl":null,"url":null,"abstract":"ABSTRACT In this paper, we study the theory of the diffusion behaviour of a binary alloy in a temperature gradient (thermotransport). Using the Onsager formalism of irreversible thermodynamics we develop exact relations for the heats of transport of each component in terms of various measurable diffusion quantities under steady state conditions and with the vacancies being at local equilibrium. Apparent inconsistencies with some earlier work are indicated. Further relations for heats of transport are then developed in terms of the random alloy model for the Darken and Manning approximations. Relations for the formal separation of the heats of transport are also developed.","PeriodicalId":19860,"journal":{"name":"Philosophical Magazine Letters","volume":"101 1","pages":"123 - 131"},"PeriodicalIF":1.2000,"publicationDate":"2021-03-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1080/09500839.2020.1871088","citationCount":"1","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Philosophical Magazine Letters","FirstCategoryId":"88","ListUrlMain":"https://doi.org/10.1080/09500839.2020.1871088","RegionNum":4,"RegionCategory":"材料科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"MATERIALS SCIENCE, MULTIDISCIPLINARY","Score":null,"Total":0}
引用次数: 1
Abstract
ABSTRACT In this paper, we study the theory of the diffusion behaviour of a binary alloy in a temperature gradient (thermotransport). Using the Onsager formalism of irreversible thermodynamics we develop exact relations for the heats of transport of each component in terms of various measurable diffusion quantities under steady state conditions and with the vacancies being at local equilibrium. Apparent inconsistencies with some earlier work are indicated. Further relations for heats of transport are then developed in terms of the random alloy model for the Darken and Manning approximations. Relations for the formal separation of the heats of transport are also developed.
期刊介绍：
Philosophical Magazine Letters is the rapid communications part of the highly respected Philosophical Magazine, which was first published in 1798. Its Editors consider for publication short and timely contributions in the field of condensed matter describing original results, theories and concepts relating to the structure and properties of crystalline materials, ceramics, polymers, glasses, amorphous films, composites and soft matter. Articles emphasizing experimental, theoretical and modelling studies on solids, especially those that interpret behaviour on a microscopic, atomic or electronic scale, are particularly appropriate.
Manuscripts are considered on the strict condition that they have been submitted only to Philosophical Magazine Letters , that they have not been published already, and that they are not under consideration for publication elsewhere.
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