Phase transition of generalized restricted solid-on-solid model in d=5+1 dimension
- Authors
- Kim, Jin Min; Kim, Sang-Woo
- Issue Date
- Jul-2015
- Publisher
- IOP PUBLISHING LTD
- Keywords
- kinetic growth processes (theory); kinetic roughening (theory); roughening transition (theory)
- Citation
- JOURNAL OF STATISTICAL MECHANICS-THEORY AND EXPERIMENT
- Journal Title
- JOURNAL OF STATISTICAL MECHANICS-THEORY AND EXPERIMENT
- URI
- http://scholarworks.bwise.kr/ssu/handle/2018.sw.ssu/8699
- DOI
- 10.1088/1742-5468/2015/07/P07010
- ISSN
- 1742-5468
- Abstract
- We control the nonlinearity of a restricted solid-on-solid growth model by adjusting the deposition probability p, and find a rough-to-smooth surface transition in the d = 5 + 1 dimension. At the critical probability pc, the standard deviation of the surface height W-2(t) grows as W-2(t) similar to ln t at the beginning and becomes saturated at W-2(L) similar to ln L at the later time t >> L-2, where L is the system size of the substrate. The width follows a scaling form of W-2(L,t) similar to ln [L(2a)g(t/L-z)], with the dynamic exponent z approximate to 1.97, which is consistent with z = 2. Our results imply that the upper critical dimension of the Kardar-Parisi-Zhang equation is higher than the d = 5 + 1 dimension.
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Collections - College of Natural Sciences > Department of Physics > 1. Journal Articles
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