Fractal Dimension of Backbone of Eden Trees
Condensed Matter
2009-10-28 v2
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.
Cite
@article{arxiv.cond-mat/9607108,
title = {Fractal Dimension of Backbone of Eden Trees},
author = {S. S. Manna and D. Dhar},
journal= {arXiv preprint arXiv:cond-mat/9607108},
year = {2009}
}
Comments
6 pages, Latex, and 4 postscript figures, uuencoded. Minor typographical errors, and problems with postscript files fixed