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arXiv · 1209.4385

Eden clusters in three-dimensions and the Kardar-Parisi-Zhang universality class

Sidiney G. Alves·Silvio C. Ferreira
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Abstract

We present large-scale simulations of radial Eden clusters in three-dimensions and show that the growth exponent is in agreement with the value $β=0.242$ accepted for the Kardar-Parisi-Zhang (KPZ) universality class. Our results refute a recent assertion proposing that radial Eden growth in $d=3$ 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.

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Sidiney G. Alves, Silvio C. Ferreira. 2012-10-25. Eden clusters in three-dimensions and the Kardar-Parisi-Zhang universality class. https://doi.org/10.1088/1742-5468%2F2012%2F10%2Fp10011

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