{"title":"分形介质中广义传递方程的实现","authors":"R. Nigmatullin","doi":"10.1002/PSSB.2221330150","DOIUrl":null,"url":null,"abstract":"It is shown that in a medium representing an example of “Koch's tree”-type fractional structure the diffusion process is described by a generalized transfer equation in partial derivations. Such a structure can serve as a model of a porous medium where the diffusion process takes place. The geometry of an inhomogeneous medium can serve as the dicisive factor in the explanation of the “universal response” phenomenon. A range of frequencies is found where such “superslow” diffusion process can be observed. \n \n \n \n[Russian Text Ignored].","PeriodicalId":11087,"journal":{"name":"Day 1 Tue, January 11, 2022","volume":"16 1","pages":""},"PeriodicalIF":0.0000,"publicationDate":"1986-12-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"623","resultStr":"{\"title\":\"The Realization of the Generalized Transfer Equation in a Medium with Fractal Geometry\",\"authors\":\"R. Nigmatullin\",\"doi\":\"10.1002/PSSB.2221330150\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"It is shown that in a medium representing an example of “Koch's tree”-type fractional structure the diffusion process is described by a generalized transfer equation in partial derivations. Such a structure can serve as a model of a porous medium where the diffusion process takes place. The geometry of an inhomogeneous medium can serve as the dicisive factor in the explanation of the “universal response” phenomenon. A range of frequencies is found where such “superslow” diffusion process can be observed. \\n \\n \\n \\n[Russian Text Ignored].\",\"PeriodicalId\":11087,\"journal\":{\"name\":\"Day 1 Tue, January 11, 2022\",\"volume\":\"16 1\",\"pages\":\"\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"1986-12-31\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"623\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Day 1 Tue, January 11, 2022\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1002/PSSB.2221330150\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Day 1 Tue, January 11, 2022","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1002/PSSB.2221330150","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
The Realization of the Generalized Transfer Equation in a Medium with Fractal Geometry
It is shown that in a medium representing an example of “Koch's tree”-type fractional structure the diffusion process is described by a generalized transfer equation in partial derivations. Such a structure can serve as a model of a porous medium where the diffusion process takes place. The geometry of an inhomogeneous medium can serve as the dicisive factor in the explanation of the “universal response” phenomenon. A range of frequencies is found where such “superslow” diffusion process can be observed.
[Russian Text Ignored].