Extensive numerical study of the anomalous dynamic scaling of the Wolf–Villain model

Zhipeng Xun, Gang Tang, Kui Han, Hui Xia, Dapeng Hao, Xiquan Yang and Wei Zhou

Physica A: Statistical Mechanics and its Applications, 2010, vol. 389, issue 11, 2189-2197

Abstract: In order to study the microscopic physical mechanisms of roughness surfaces exhibiting the anomalous scaling behavior, the Wolf–Villain model in 1+1 and 2+1 dimensions is investigated by the kinetic Monte-Carlo simulation on long time and large length scale (the growth time and the system size are respectively extended to t=229, L=400000 for 1+1 dimensions, and t=221, L×L=512×512 for 2+1 dimensions). In the 2+1-dimensional simulations, the noise reduction technique is employed so as to eliminate the crossover effects in the growth process. Our calculations show that the Wolf–Villain model in 1+1 dimensions very probably exhibits intrinsic anomalous scaling behavior in the time and length simulation range of this paper, and the 2+1-dimensional Wolf–Villain model leads to a pyramidal mounded morphology. Some properties of the mounded pattern in the 2+1-dimensional Wolf–Villain model are discussed in the final part of this presentation.

Keywords: Anomalous scaling; Wolf–Villain model (search for similar items in EconPapers)
Date: 2010
References: View complete reference list from CitEc
Citations: View citations in EconPapers (1)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:389:y:2010:i:11:p:2189-2197

DOI: 10.1016/j.physa.2010.01.051

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