FRACTAL DIMENSION OF BACKBONE OF EDEN TREES

Authors
MANNA SS DHAR D
Citation
Ss. Manna et D. Dhar, FRACTAL DIMENSION OF BACKBONE OF EDEN TREES, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics, 54(4), 1996, pp. 3063-3066
Citations number
19
Categorie Soggetti
Physycs, Mathematical","Phsycs, Fluid & Plasmas
Journal title
Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics → ACNP
ISSN journal
1063651X
Volume
54
Issue
4
Year of publication
1996
Part
A
Pages
3063 - 3066
Database
ISI
SICI code
1063-651X(1996)54:4<3063:FDOBOE>2.0.ZU;2-7
Abstract
We relate the fractal dimension of the backbone, and the spectral dime nsion of Eden trees to the dynamical exponent z. In two dimensions, it gives fractal dimension of backbone equal to 4/3 and spectral dimensi on of trees equal to 5/4. In three dimensions, it provides us with ano ther way to estimate z numerically. We get z=1.617+/-0.004.