{"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}
引用次数: 0
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.