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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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.

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Source:Copyright of this article belongs to American Physical Society.
ID Code:9441
Deposited On:02 Nov 2010 12:12
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