{"title":"有向Erdös-Rènyi随机图上q=3状态的Potts模型","authors":"Lima Fws","doi":"10.15406/paij.2017.01.00040","DOIUrl":null,"url":null,"abstract":"We study the behavior critical of the Potts model with 3 states on Solomon networks using Monte Carlo simulations. Our results show that this presents a first-order phase transition. These results are different of the Potts model with 3 states on a square lattice that present a second-order phase transition. However, these are consistent with the results of the Potts model on Erdös–Rényi random graphs.","PeriodicalId":377724,"journal":{"name":"Physics & Astronomy International Journal","volume":"28 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2017-12-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","resultStr":"{\"title\":\"Potts Model With q=3 States on Directed Erdös-Rènyi Random Graphs\",\"authors\":\"Lima Fws\",\"doi\":\"10.15406/paij.2017.01.00040\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"We study the behavior critical of the Potts model with 3 states on Solomon networks using Monte Carlo simulations. Our results show that this presents a first-order phase transition. These results are different of the Potts model with 3 states on a square lattice that present a second-order phase transition. However, these are consistent with the results of the Potts model on Erdös–Rényi random graphs.\",\"PeriodicalId\":377724,\"journal\":{\"name\":\"Physics & Astronomy International Journal\",\"volume\":\"28 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2017-12-29\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"1\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Physics & Astronomy International Journal\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.15406/paij.2017.01.00040\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Physics & Astronomy International Journal","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.15406/paij.2017.01.00040","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Potts Model With q=3 States on Directed Erdös-Rènyi Random Graphs
We study the behavior critical of the Potts model with 3 states on Solomon networks using Monte Carlo simulations. Our results show that this presents a first-order phase transition. These results are different of the Potts model with 3 states on a square lattice that present a second-order phase transition. However, these are consistent with the results of the Potts model on Erdös–Rényi random graphs.