Massimiliano Giona , William A. Schwalm , Alessandra Adrover , Mizuho K. Schwalm
{"title":"分形上的线性输运现象分析","authors":"Massimiliano Giona , William A. Schwalm , Alessandra Adrover , Mizuho K. Schwalm","doi":"10.1016/S0923-0467(96)03083-7","DOIUrl":null,"url":null,"abstract":"<div><p>In this article we apply input/output (I/O) renormalization to linear transport phenomena on fractals. We focus mainly on first-order reaction kinetics, on sorption dynamics and on renormalization of integral quantities in the case of finitely ramified structure. Moreover, care is taken to show how the theory can be extended to thes tudy of infinitely ramified fractals and non-linear model and to the case of an unbounded number of input sites.</p></div>","PeriodicalId":101226,"journal":{"name":"The Chemical Engineering Journal and the Biochemical Engineering Journal","volume":"64 1","pages":"Pages 45-61"},"PeriodicalIF":0.0000,"publicationDate":"1996-10-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1016/S0923-0467(96)03083-7","citationCount":"10","resultStr":"{\"title\":\"Analysis of linear transport phenomena on fractals\",\"authors\":\"Massimiliano Giona , William A. Schwalm , Alessandra Adrover , Mizuho K. Schwalm\",\"doi\":\"10.1016/S0923-0467(96)03083-7\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><p>In this article we apply input/output (I/O) renormalization to linear transport phenomena on fractals. We focus mainly on first-order reaction kinetics, on sorption dynamics and on renormalization of integral quantities in the case of finitely ramified structure. Moreover, care is taken to show how the theory can be extended to thes tudy of infinitely ramified fractals and non-linear model and to the case of an unbounded number of input sites.</p></div>\",\"PeriodicalId\":101226,\"journal\":{\"name\":\"The Chemical Engineering Journal and the Biochemical Engineering Journal\",\"volume\":\"64 1\",\"pages\":\"Pages 45-61\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"1996-10-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"https://sci-hub-pdf.com/10.1016/S0923-0467(96)03083-7\",\"citationCount\":\"10\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"The Chemical Engineering Journal and the Biochemical Engineering Journal\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://www.sciencedirect.com/science/article/pii/S0923046796030837\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"The Chemical Engineering Journal and the Biochemical Engineering Journal","FirstCategoryId":"1085","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S0923046796030837","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Analysis of linear transport phenomena on fractals
In this article we apply input/output (I/O) renormalization to linear transport phenomena on fractals. We focus mainly on first-order reaction kinetics, on sorption dynamics and on renormalization of integral quantities in the case of finitely ramified structure. Moreover, care is taken to show how the theory can be extended to thes tudy of infinitely ramified fractals and non-linear model and to the case of an unbounded number of input sites.