A new way of measuring the correlation length in surface growth models
- Authors
- Kim, Jin Min
- Issue Date
- Mar-2021
- Publisher
- IOP PUBLISHING LTD
- Keywords
- kinetic growth processes; kinetic roughening; self-affine roughness; finite-size scaling
- Citation
- JOURNAL OF STATISTICAL MECHANICS-THEORY AND EXPERIMENT, v.2021, no.3
- Journal Title
- JOURNAL OF STATISTICAL MECHANICS-THEORY AND EXPERIMENT
- Volume
- 2021
- Number
- 3
- URI
- http://scholarworks.bwise.kr/ssu/handle/2018.sw.ssu/40744
- DOI
- 10.1088/1742-5468/abe599
- ISSN
- 1742-5468
- Abstract
- We propose a new way of measuring the correlation length in surface growth processes. We define a quantity R(L,t) - (< w(4)(L,t)>/< w2(L,t)>(2) -1) L in d = 1 + 1, where w(t) and L are the surface width of a given sample at time t and the system size, respectively, and <...> denotes the average over samples. The quantity R(L, t) is proportional to the correlation length arid follows the relation R(L, t) similar to t(1/z) before the saturation for various growth models, where z is the dynamic exponent. The applicability of the method was examined for the restricted solid-on-solid (RSOS) model, equilibrium solid-on-solid model, and restricted curvature model. We also estimated z by using the relation R(t) similar to t(1/z) for the RSOS model in higher dimensions.
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Collections - College of Natural Sciences > Department of Physics > 1. Journal Articles
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