{"title":"长聚合物在良好溶剂中的膨胀:ε-旋转半径与端到端距离之比","authors":"M. Benhamou, G. Mahoux","doi":"10.1051/JPHYSLET:019850046015068900","DOIUrl":null,"url":null,"abstract":"The ratio of the radius of gyration to the mean square end to end distance of an isolated long chain is given to second order in e = 4 — d, where d is the space dimension. Our method of calculation is based on the direct renormalization idea introduced by J. des Cloizeaux. In dimension three (e = 1), our result can be compared with the result of computer experiments made by C. Domb and F. F. Hioe.","PeriodicalId":14822,"journal":{"name":"Journal De Physique Lettres","volume":"45 1","pages":"689-693"},"PeriodicalIF":0.0000,"publicationDate":"1985-08-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"26","resultStr":"{\"title\":\"Long polymers in good solvent : ε-expansion of the ratio of the radius of gyration to the end to end distance\",\"authors\":\"M. Benhamou, G. Mahoux\",\"doi\":\"10.1051/JPHYSLET:019850046015068900\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"The ratio of the radius of gyration to the mean square end to end distance of an isolated long chain is given to second order in e = 4 — d, where d is the space dimension. Our method of calculation is based on the direct renormalization idea introduced by J. des Cloizeaux. In dimension three (e = 1), our result can be compared with the result of computer experiments made by C. Domb and F. F. Hioe.\",\"PeriodicalId\":14822,\"journal\":{\"name\":\"Journal De Physique Lettres\",\"volume\":\"45 1\",\"pages\":\"689-693\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"1985-08-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"26\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Journal De Physique Lettres\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1051/JPHYSLET:019850046015068900\",\"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 De Physique Lettres","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1051/JPHYSLET:019850046015068900","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 26
摘要
在e = 4 - d (d为空间维数)条件下，给出了孤立长链的旋转半径与端到端距离均方的比值为二阶。我们的计算方法是基于J. des Cloizeaux引入的直接重整化思想。在三维(e = 1)中，我们的结果可以与C. Domb和F. F. Hioe的计算机实验结果进行比较。
Long polymers in good solvent : ε-expansion of the ratio of the radius of gyration to the end to end distance
The ratio of the radius of gyration to the mean square end to end distance of an isolated long chain is given to second order in e = 4 — d, where d is the space dimension. Our method of calculation is based on the direct renormalization idea introduced by J. des Cloizeaux. In dimension three (e = 1), our result can be compared with the result of computer experiments made by C. Domb and F. F. Hioe.
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