Fractal Dimension of Backbone of Eden Trees

Details Fractal Dimension of Backbone of Eden Trees Fractal Dimension of Backbone of Eden Trees

1996-07-16

arxiv.org/abs/cond-mat/9607108v2

Phys. Rev. E 54 (1996) R3063.

Physics

Condensed Matter

6 pages, Latex, and 4 postscript figures, uuencoded. Minor typographical errors, and problems with postscript files fixed

Scientific paper

10.1103/PhysRevE.54.R3063

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.

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