Article,

Fractal dimension of backbone of Eden trees

, and .
Physical Review E, 54 (4): R3063--R3066 (October 1996)
DOI: 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 .

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