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Journal of the Korean Physical Society

, Volume 67, Issue 9, pp 1529–1532 | Cite as

Restricted solid-on-solid model in d = 2 + 1 dimension with various restriction parameters N

  • Jin Min KimEmail author
Article

Abstract

A restricted solid-on-solid model is investigated with various height restriction parameters N in 2 + 1 dimension to determine the critical exponents for the surface roughness more accurately. The interface width W(t) grows as t β at the beginning and becomes saturated at L α for tL z , where z is the dynamic exponent. Through a large-scale numerical simulation of a system with size L = 16384, β ≈ 0.248 ± 0.002 and α ≈ 0.400 ± 0.004 are obtained with N = 3, where W(t) is reasonably larger than the unit height. Our result seems to be consistent with the conjecture β = 1/4. z ≈ 1.61 is estimated from the relation \(z = \tfrac{\alpha } {\beta }\), which satisfies the scaling relation α+z = 2 very well.

Keywords

Restricted solid-on-solid model Surface roughness Growth exponent Kardar-Parisi-Zhang equation 

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Copyright information

© The Korean Physical Society 2015

Authors and Affiliations

  1. 1.Department of Physics and Research Institute for the Origin of matter and the Evolution of galaxiesSoongsil UniversitySeoulKorea

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