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Anomalous dynamic scaling of the non-local growth equations

机译:非局部增长方程的异常动态缩放

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摘要

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.
机译:基于缩放方法研究了d + 1维非局部增长方程的异常动态缩放行为。研究的增长方程包括非局部Kardar-Parisi-Zhang(NKPZ),非局部Sun-Guo-Grant(NSGG)和非局部Lai-Das Sarma-Villain(NLDV)方程。分别获得了弱耦合区域和强耦合区域中的异常缩放指数。我们的结果表明,非局部相互作用会影响表面波动的异常缩放特性。

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