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https://locus.ufv.br//handle/123456789/20006
Tipo: | Artigo |
Título: | Origins of scaling corrections in ballistic growth models |
Autor(es): | Alves, Sidiney G. Oliveira, Tiago J. Ferreira, Silvio C. |
Abstract: | We study the ballistic deposition and the grain deposition models on two-dimensional substrates. Using the Kardar-Parisi-Zhang (KPZ) ansatz for height fluctuations, we show that the main contribution to the intrinsic width, which causes strong corrections to the scaling, comes from the fluctuations in the height increments along deposition events. Accounting for this correction in the scaling analysis, we obtain scaling exponents in excellent agreement with the KPZ class. We also propose a method to suppress these corrections, which consists in dividing the surface in bins of size ε and using only the maximal height inside each bin to do the statistics. Again, scaling exponents in remarkable agreement with the KPZ class are found. The binning method allows the accurate determination of the height distributions of the ballistic models in both growth and steady-state regimes, providing the universal underlying fluctuations foreseen for KPZ class in 2 + 1 dimensions. Our results provide complete and conclusive evidences that the ballistic model belongs to the KPZ universality class in 2 + 1 dimensions. Potential applications of the methods developed here, in both numerics and experiments, are discussed. |
Palavras-chave: | Ballistic growth models Origins of scaling |
Editor: | Physical Review E |
Tipo de Acesso: | American Physical Society |
URI: | https://doi.org/10.1103/PhysRevE.90.052405 http://www.locus.ufv.br/handle/123456789/20006 |
Data do documento: | 20-Nov-2014 |
Aparece nas coleções: | Artigos |
Arquivos associados a este item:
Arquivo | Descrição | Tamanho | Formato | |
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artigo.pdf Until 2100-12-31 | Texto completo | 575,2 kB | Adobe PDF | Visualizar/Abrir ACESSO RESTRITO |
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