Fractal dimension of backbone of eden trees

Manna, S. S. ; Dhar, D. (1996) Fractal dimension of backbone of eden trees Physical Review E, 54 (4). R3063-R3066. ISSN 1063-651X

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Official URL: http://pre.aps.org/abstract/PRE/v54/i4/pR3063_1

Related URL: http://dx.doi.org/10.1103/PhysRevE.54.R3063

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 with another way to estimate z numerically. We get z=1.617±0.004.

Item Type:Article
Source:Copyright of this article belongs to American Physical Society.
ID Code:9441
Deposited On:02 Nov 2010 12:12
Last Modified:16 May 2016 19:14

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