Fractal structure of the equilibrium crystal shape. II. Fractal dimensions

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