58 citations · 282 across the 10 of their papers we have counts for
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Dimensional crossover in surface growth on rectangular substrates
Ismael S. S. Carrasco, Tiago J. Oliveira
In a recent work [Phys. Rev. E 109, L042102 (2024)], interesting dimensional crossovers [from two- to one-dimensional (2D to 1D) scaling] were found in the growth of Kardar-Parisi-…
Kardar-Parisi-Zhang universality class in ()-dimensions
Tiago J. Oliveira
The determination of the exact exponents of the KPZ class in any substrate dimension is one of the most important open issues in Statistical Physics. Based on the behavior of t…
Universality and dependence on initial conditions in the class of the nonlinear molecular beam epitaxy equation
I. S. S. Carrasco, T. J. Oliveira
We report extensive numerical simulations of growth models belonging to the nonlinear molecular beam epitaxy (nMBE) class, on flat (fixed-size) and expanding substrates (ES). In bo…
Width and extremal height distributions of fluctuating interfaces with window boundary conditions
I. S. S. Carrasco, T. J. Oliveira
We present a detailed study of squared local roughness (SLRDs) and local extremal height distributions (LEHDs), calculated in windows of lateral size , for interfaces in several…
Interface fluctuations for deposition on enlarging flat substrates
I. S. S. Carrasco, K. A. Takeuchi, S. C. Ferreira +1
We investigate solid-on-solid models that belong to the Kardar-Parisi-Zhang (KPZ) universality class on substrates that expand laterally at a constant rate by duplication of column…
Universality of fluctuations in the Kardar-Parisi-Zhang class in high dimensions and its upper critical dimension
Sidiney G. Alves, Tiago J. Oliveira, Silvio C. Ferreira
We show that the theoretical machinery developed for the Kardar-Parisi-Zhang (KPZ) class in low dimensions are obeyed by the restricted solid-on-solid (RSOS) model for substrates w…
Universal fluctuations in KPZ growth on one-dimensional flat substrates
T. J. Oliveira, S. C. Ferreira, S. G. Alves
We present a numerical study of the evolution of height distributions (HDs) obtained in interface growth models belonging to the Kardar-Parisi-Zhang (KPZ) universality class. The g…
Universal fluctuations in radial growth models belonging to the KPZ universality class
S. G. Alves, T. J. Oliveira, S. C. Ferreira
We investigate the radius distributions (RD) of surfaces obtained with large-scale simulations of radial clusters that belong to the KPZ universality class. For all investigated mo…
Kinetic modelling of epitaxial film growth with up- and downward step barriers
F. F. Leal, T. J. Oliveira, S. C. Ferreira
The formation of three-dimensional structures during the epitaxial growth of films is associated to the reflection of diffusing particles in descending terraces due to the presence…