Use este identificador para citar ou linkar para este item:
https://locus.ufv.br//handle/123456789/18848
Tipo: | Artigo |
Título: | Width and extremal height distributions of fluctuating interfaces with window boundary conditions |
Autor(es): | Carrasco, I. S. S. Oliveira, T. J. |
Abstract: | We present a detailed study of squared local roughness (SLRDs) and local extremal height distributions (LEHDs), calculated in windows of lateral size l, for interfaces in several universality classes, in substrate dimensions d s = 1 and 2. We show that their cumulants follow a Family-Vicsek-type scaling, and, at early times, when ξ l (ξ is the correlation length), the rescaled SLRDs are given by log-normal distributions, with their nth cumulant scaling as (ξ/ l) (n−1)d s . This gives rise to an interesting temporal scaling for such cumulants as w n c ∼ t γ n , with γ n = 2nβ + (n − 1)d s /z = [2n + (n − 1)d s /α]β. This scaling is analytically proved for the Edwards-Wilkinson (EW) and random deposition interfaces and numerically confirmed for other classes. In general, it is featured by small corrections, and, thus, it yields exponents γ n (and, consequently, α, β and z) in good agreement with their respective universality class. Thus, it is a useful framework for numerical and experimental investigations, where it is usually hard to estimate the dynamic z and mainly the (global) roughness α exponents. The stationary (for ξ l) SLRDs and LEHDs of the Kardar-Parisi-Zhang (KPZ) class are also investigated, and, for some models, strong finite-size corrections are found. However, we demonstrate that good evidence of their universality can be obtained through successive extrapolations of their cumulant ratios for long times and large l. We also show that SLRDs and LEHDs are the same for flat and curved KPZ interfaces. |
Palavras-chave: | Distributions of fluctuating interfaces Boundary conditions |
Editor: | Physical Review E |
Tipo de Acesso: | American Physical Society |
URI: | https://doi.org/10.1103/PhysRevE.93.012801 http://www.locus.ufv.br/handle/123456789/18848 |
Data do documento: | 7-Jan-2016 |
Aparece nas coleções: | Artigos |
Arquivos associados a este item:
Arquivo | Descrição | Tamanho | Formato | |
---|---|---|---|---|
artigo.pdf Until 2100-12-31 | Texto completo | 1,09 MB | Adobe PDF | Visualizar/Abrir ACESSO RESTRITO |
Os itens no repositório estão protegidos por copyright, com todos os direitos reservados, salvo quando é indicado o contrário.