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Please use this identifier to cite or link to this item:
https://tkuir.lib.tku.edu.tw/dspace/handle/987654321/27845
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Title: | Interfaces with superroughness |
Authors: | Pang, Ning-Ning;Tzeng, Wen-Jer |
Contributors: | 淡江大學物理學系 |
Date: | 2000-04 |
Issue Date: | 2013-07-09 15:17:38 (UTC+8) |
Publisher: | College Park: American Physical Society |
Abstract: | We undertake an extensive analytical study of the (1+1)-dimensional discrete superrough growth processes, which are the growth processes with the global roughness exponent larger than 1. First, we obtain the exact expressions of the global interfacial width w(L,t), the local interfacial width relative to the substrate orientation w(l,t), and the local interfacial width relative to the local interfacial orientation wn(l,t), in terms of the equal-time height difference correlation functions G(r,t). These relations are exact and can be applied to all the (1+1)-dimensional discrete growth processes with periodic boundary conditions. Moreover, we show that the local roughness exponent must be smaller than 1 for the (1+1)-dimensional superrough growth processes with wn(l,t) retaining the same anomalous dynamic scaling behaviors as w(l,t); in contrast, the local roughness exponent must be equal to 1 for those with wn(l,t) retrieving the ordinary dynamic scaling behaviors. |
Relation: | Physical Review E (Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics) 61(4), pp.3559-3563 |
DOI: | 10.1103/PhysRevE.61.3559 |
Appears in Collections: | [Graduate Institute & Department of Physics] Journal Article
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