Dimension of fractal growth patterns as a dynamical exponent

  • Davidovitch B
  • Procaccia I
  • 17


    Mendeley users who have this article in their library.
  • 23


    Citations of this article.


We consider a conformal theory of fractal growth patterns in two dimensions, including diffusion limited aggregation (DLA) as a particular case. In this theory the fractal dimension of the asymptotic cluster manifests itself as a dynamical exponent observable already at very early growth stages. Using a renormalization relation we show from early stage dynamics that the dimension D of DLA can be estimated, 1.69

Get free article suggestions today

Mendeley saves you time finding and organizing research

Sign up here
Already have an account ?Sign in

Find this document


  • Benny Davidovitch

  • Itamar Procaccia

Cite this document

Choose a citation style from the tabs below

Save time finding and organizing research with Mendeley

Sign up for free