Friday, September 21, 2012

1209.4385 (Sidiney G. Alves et al.)

Eden clusters in three-dimensions and the KPZ universality class    [PDF]

Sidiney G. Alves, Silvio C. Ferreira
We present large-scale simulations of radial Eden clusters in three-dimensions and show that the growth exponent is in agreement with the value $\beta=0.242$ accepted for the Kardar-Parisi-Zhang (KPZ) universality class. Our results refute a recent assertion proposing that radial Eden growth belongs to a universality class distinct from KPZ. We associate the previously reported discrepancy to a slow convergence to the asymptotic limit. We also present the skewness and kurtosis in the roughening regime for flat geometry in 2+1 dimensions.
View original: http://arxiv.org/abs/1209.4385

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