Universality in a class of the modified Villain–Lai–Das Sarma equation

The universal scaling properties of the original and modified versions of the Villain–Lai–Das Sarma (VLDS) growth system are investigated numerically in both (1 + 1) and (2 + 1) dimensions. The modified VLDS equation with instability suppression by an exponentially decreasing function is equivalent...

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Bibliographic Details
Published in:Journal of statistical mechanics 2021-02, Vol.2021 (2), p.23210
Main Authors: Li, Bin, Tan, Zihao, Jiao, Yang, Xia, Hui
Format: Article
Language:English
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Summary:The universal scaling properties of the original and modified versions of the Villain–Lai–Das Sarma (VLDS) growth system are investigated numerically in both (1 + 1) and (2 + 1) dimensions. The modified VLDS equation with instability suppression by an exponentially decreasing function is equivalent to the VLDS with infinitely many weakly relevant nonlinear terms (VLDS ∞ ). The growth instability and scaling properties are discussed based on the modification of the VLDS growth system. Our results show that the existence of infinitely many weakly relevant nonlinear terms in the modified VLDS system could: (i) lead to nontrivial scaling behavior in a generic way, such as anomalous scaling; (ii) be partially effective at suppressing numerical instabilities in the normal VLDS equation.
ISSN:1742-5468
1742-5468
DOI:10.1088/1742-5468/abdd16