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Anomalous dynamic scaling of the non-local growth equations

Hui Xia, Gang Tang, Zhipeng Xun and Yifan Li

Physica A: Statistical Mechanics and its Applications, 2009, vol. 388, issue 8, 1399-1404

Abstract: The anomalous dynamic scaling behavior of the d+1 dimensional non-local growth equations is investigated based on the scaling approach. The growth equations studied include the non-local Kardar–Parisi–Zhang (NKPZ), non-local Sun-Guo-Grant (NSGG), and non-local Lai-Das Sarma-Villain (NLDV) equations. The anomalous scaling exponents in both the weak- and strong-coupling regions are obtained, respectively. Our results show that non-local interactions can affect anomalous scaling properties of surface fluctuations.

Keywords: Non-local growth equation; Scaling analysis; Anomalous dynamic scaling (search for similar items in EconPapers)
Date: 2009
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:388:y:2009:i:8:p:1399-1404

DOI: 10.1016/j.physa.2008.12.049

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