Continuous Height-restricted Solid-on-solid Model in Higher Dimensions
- Authors
- Kim, Sang-Woo; Kim, Jin Min
- Issue Date
- Dec-2014
- Publisher
- KOREAN PHYSICAL SOC
- Keywords
- Restricted solid-on-solid model; Surface roughness; growth exponent; Upper critical dimension; Kardar-Parisi-Zhang equation
- Citation
- JOURNAL OF THE KOREAN PHYSICAL SOCIETY, v.65, no.11, pp.1729 - 1732
- Journal Title
- JOURNAL OF THE KOREAN PHYSICAL SOCIETY
- Volume
- 65
- Number
- 11
- Start Page
- 1729
- End Page
- 1732
- URI
- http://scholarworks.bwise.kr/ssu/handle/2018.sw.ssu/9882
- DOI
- 10.3938/jkps.65.1729
- ISSN
- 0374-4884
- Abstract
- A continuous height-restricted solid-on-solid model is introduced to reduce the artifact of the discrete height model. The interface width W(t) grows as t(beta) at the beginning and becomes saturated with L-alpha for t >> L-z, where z is the dynamic exponent. Through a numerical simulation of the model, the growth exponent beta for dimension d = 4 + 1, 5 + 1, 6 + 1, and 7 + 1 and the roughness exponent alpha for d = 4 + 1 and 5 + 1 are obtained. They satisfy the scaling relation alpha + z = 2 very well for both d = 4+ 1 and d = 5 + 1. Our results show that the upper critical dimension of the Kardar-Parisi-Zhang equation is higher than d = 7 + 1.
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Collections - College of Natural Sciences > Department of Physics > 1. Journal Articles
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