{"title":"某些晶格模型的相变温度","authors":"A. O. Shishanin","doi":"10.55959/msu0579-9392.78.2320101","DOIUrl":null,"url":null,"abstract":"A method for calculating the phase transition temperature using only one cell is considered. This method has been tested for various lattice models: Ising model on triangular, hexagonal and tetrahedral lattices, three-position Potts model on a square lattice. In particular, exact reply is reproduced in the Ising model for triangular lattice. Also, this method was used to analyze some multi-spin models.","PeriodicalId":484854,"journal":{"name":"Vestnik Moskovskogo Universiteta Seriya 3 Fizika Astronomiya","volume":"15 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2023-06-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Phase transition temperature in some lattice models\",\"authors\":\"A. O. Shishanin\",\"doi\":\"10.55959/msu0579-9392.78.2320101\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"A method for calculating the phase transition temperature using only one cell is considered. This method has been tested for various lattice models: Ising model on triangular, hexagonal and tetrahedral lattices, three-position Potts model on a square lattice. In particular, exact reply is reproduced in the Ising model for triangular lattice. Also, this method was used to analyze some multi-spin models.\",\"PeriodicalId\":484854,\"journal\":{\"name\":\"Vestnik Moskovskogo Universiteta Seriya 3 Fizika Astronomiya\",\"volume\":\"15 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2023-06-02\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Vestnik Moskovskogo Universiteta Seriya 3 Fizika Astronomiya\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.55959/msu0579-9392.78.2320101\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Vestnik Moskovskogo Universiteta Seriya 3 Fizika Astronomiya","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.55959/msu0579-9392.78.2320101","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Phase transition temperature in some lattice models
A method for calculating the phase transition temperature using only one cell is considered. This method has been tested for various lattice models: Ising model on triangular, hexagonal and tetrahedral lattices, three-position Potts model on a square lattice. In particular, exact reply is reproduced in the Ising model for triangular lattice. Also, this method was used to analyze some multi-spin models.
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