Fractal Dimension of Backbone of Eden Trees

D. Dhar (Tata Institute of Fundamental Research; Mumbai); S. S. Manna (Indian Institute of Technology

arxiv: cond-mat/9607108 · v2 · submitted 1996-07-16 · ❄️ cond-mat

Fractal Dimension of Backbone of Eden Trees

S. S. Manna (Indian Institute of Technology , Mumbai) , D. Dhar (Tata Institute of Fundamental Research This is my paper

classification ❄️ cond-mat

keywords dimensionbackbonefractaltreesdimensionsedenequalspectral

0 comments

read the original abstract

We relate the fractal dimension of the backbone, and the spectral dimension of Eden trees to the dynamical exponent z. In two dimensions, it gives fractal dimension of backbone equal to 4/3 and spectral dimension of trees equal to 5/4. In three dimensions, it provides us a new way to estimate z numerically. We get z=1.617 +/- 0.004.

This paper has not been read by Pith yet.

Fractal Dimension of Backbone of Eden Trees

discussion (0)