{"title":"Molecular mechanism of smectisation and regulation of polymorphism in nematic liquid crystal systems","authors":"L. Bezhanova, M. Vasilyan, A. Atanesyan","doi":"10.1088/1748-0221/19/05/c05016","DOIUrl":null,"url":null,"abstract":"\n The study explores the application of catastrophe theory to describe the molecular mechanisms of smectisation and the regulation of polymorphism in nematic liquid crystal (NLC) systems. We propose a new approach for describing the stable and unstable states of NLC systems that induce the smectic (Sm) phase. A relation between the control variables of the cusp catastrophe and the Sm order parameter in NLC systems has been identified. The equilibrium states of the Sm phase are determined within the framework of catastrophe theory. By applying catastrophe theory to study the thermodynamic potential of an NLC system, we provide a detailed description of how the functional potential geometry changes depending on the control variables. The local geometry around the extremes of the functional thermodynamic potential allows for controllable catastrophes.","PeriodicalId":1,"journal":{"name":"Accounts of Chemical Research","volume":"81 3","pages":""},"PeriodicalIF":17.7000,"publicationDate":"2024-05-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Accounts of Chemical Research","FirstCategoryId":"5","ListUrlMain":"https://doi.org/10.1088/1748-0221/19/05/c05016","RegionNum":1,"RegionCategory":"化学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"CHEMISTRY, MULTIDISCIPLINARY","Score":null,"Total":0}
引用次数: 0
Abstract
The study explores the application of catastrophe theory to describe the molecular mechanisms of smectisation and the regulation of polymorphism in nematic liquid crystal (NLC) systems. We propose a new approach for describing the stable and unstable states of NLC systems that induce the smectic (Sm) phase. A relation between the control variables of the cusp catastrophe and the Sm order parameter in NLC systems has been identified. The equilibrium states of the Sm phase are determined within the framework of catastrophe theory. By applying catastrophe theory to study the thermodynamic potential of an NLC system, we provide a detailed description of how the functional potential geometry changes depending on the control variables. The local geometry around the extremes of the functional thermodynamic potential allows for controllable catastrophes.
期刊介绍:
Accounts of Chemical Research presents short, concise and critical articles offering easy-to-read overviews of basic research and applications in all areas of chemistry and biochemistry. These short reviews focus on research from the author’s own laboratory and are designed to teach the reader about a research project. In addition, Accounts of Chemical Research publishes commentaries that give an informed opinion on a current research problem. Special Issues online are devoted to a single topic of unusual activity and significance.
Accounts of Chemical Research replaces the traditional article abstract with an article "Conspectus." These entries synopsize the research affording the reader a closer look at the content and significance of an article. Through this provision of a more detailed description of the article contents, the Conspectus enhances the article's discoverability by search engines and the exposure for the research.