{"title":"统计经典力学连续系统中气体硬核球的解析性质","authors":"M. Gorzelańczyk","doi":"10.1088/0305-4470/39/38/001","DOIUrl":null,"url":null,"abstract":"We find the resolvent at the Kirkwood–Salsburg integral operator in a finite volume for hard core potentials. We also construct the resolvent at the Kirkwood–Salsburg operator in the thermodynamical limit for values of chemical activity and for non-negative potentials. Therefore the phase transition does not occur for these values of chemical activity.","PeriodicalId":87442,"journal":{"name":"Journal of physics A: Mathematical and general","volume":null,"pages":null},"PeriodicalIF":0.0000,"publicationDate":"2006-09-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Analytic properties of gas hard core spheres in a continuous system of statistical classical mechanics\",\"authors\":\"M. Gorzelańczyk\",\"doi\":\"10.1088/0305-4470/39/38/001\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"We find the resolvent at the Kirkwood–Salsburg integral operator in a finite volume for hard core potentials. We also construct the resolvent at the Kirkwood–Salsburg operator in the thermodynamical limit for values of chemical activity and for non-negative potentials. Therefore the phase transition does not occur for these values of chemical activity.\",\"PeriodicalId\":87442,\"journal\":{\"name\":\"Journal of physics A: Mathematical and general\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2006-09-05\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Journal of physics A: Mathematical and general\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1088/0305-4470/39/38/001\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal of physics A: Mathematical and general","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1088/0305-4470/39/38/001","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Analytic properties of gas hard core spheres in a continuous system of statistical classical mechanics
We find the resolvent at the Kirkwood–Salsburg integral operator in a finite volume for hard core potentials. We also construct the resolvent at the Kirkwood–Salsburg operator in the thermodynamical limit for values of chemical activity and for non-negative potentials. Therefore the phase transition does not occur for these values of chemical activity.