{"title":"Fractal structure of the equilibrium crystal shape. II. Fractal dimensions","authors":"S. Burkov","doi":"10.1051/JPHYSLET:019850046017080500","DOIUrl":null,"url":null,"abstract":"A crystal shape at T=0 is studied in the framework of the model of «bricks» attracting each other according to 1/rγ. It is shown that fractal dimensions of the Cantor sets of solitary edges and corners are γ/(γ−2) and 6/(γ−1), respectively Etude de la forme d'un cristal a T=0 dans un modele de briques s'attirant selon une loi en 1/rγ","PeriodicalId":14822,"journal":{"name":"Journal De Physique Lettres","volume":"29 1","pages":"805-810"},"PeriodicalIF":0.0000,"publicationDate":"1985-09-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal De Physique Lettres","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1051/JPHYSLET:019850046017080500","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 1
Abstract
A crystal shape at T=0 is studied in the framework of the model of «bricks» attracting each other according to 1/rγ. It is shown that fractal dimensions of the Cantor sets of solitary edges and corners are γ/(γ−2) and 6/(γ−1), respectively Etude de la forme d'un cristal a T=0 dans un modele de briques s'attirant selon une loi en 1/rγ
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