{"title":"各向异性扩散dla簇的Hausdorff维数及标度性质","authors":"Tian Ju-ping, Yao Kai-lun","doi":"10.7498/aps.47.1421","DOIUrl":null,"url":null,"abstract":"In this paper,the effect of the anisotropy diffusion on the growth of diffusion-limited aggregation(DLA) clusters is discussed.Our computer simulation results verify that DLA clusters grown with anisotropic diffusion rules have a striking overall diamond shape.A new anisotropic diffusion equation of particles is derived.The Hausdorff dimension of a two-dimensional DLA cluster in the anisotropic diffusion is calculated.The results show that the effective angle β eff =min(β ix ,β iy ).In addition,the generalized dimension D q of the anisotropic diffusion DLA is also discussed and an expression of the generalized dimension D q is obtained using the modified wedge model.","PeriodicalId":0,"journal":{"name":"","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"1998-09-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"HAUSDORFF DIMENSION AND SCALING NATURE OF ANISOTROPY DIFFUSION DLA CLUSTER\",\"authors\":\"Tian Ju-ping, Yao Kai-lun\",\"doi\":\"10.7498/aps.47.1421\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In this paper,the effect of the anisotropy diffusion on the growth of diffusion-limited aggregation(DLA) clusters is discussed.Our computer simulation results verify that DLA clusters grown with anisotropic diffusion rules have a striking overall diamond shape.A new anisotropic diffusion equation of particles is derived.The Hausdorff dimension of a two-dimensional DLA cluster in the anisotropic diffusion is calculated.The results show that the effective angle β eff =min(β ix ,β iy ).In addition,the generalized dimension D q of the anisotropic diffusion DLA is also discussed and an expression of the generalized dimension D q is obtained using the modified wedge model.\",\"PeriodicalId\":0,\"journal\":{\"name\":\"\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":0.0,\"publicationDate\":\"1998-09-20\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"\",\"FirstCategoryId\":\"101\",\"ListUrlMain\":\"https://doi.org/10.7498/aps.47.1421\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"","FirstCategoryId":"101","ListUrlMain":"https://doi.org/10.7498/aps.47.1421","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
HAUSDORFF DIMENSION AND SCALING NATURE OF ANISOTROPY DIFFUSION DLA CLUSTER
In this paper,the effect of the anisotropy diffusion on the growth of diffusion-limited aggregation(DLA) clusters is discussed.Our computer simulation results verify that DLA clusters grown with anisotropic diffusion rules have a striking overall diamond shape.A new anisotropic diffusion equation of particles is derived.The Hausdorff dimension of a two-dimensional DLA cluster in the anisotropic diffusion is calculated.The results show that the effective angle β eff =min(β ix ,β iy ).In addition,the generalized dimension D q of the anisotropic diffusion DLA is also discussed and an expression of the generalized dimension D q is obtained using the modified wedge model.
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