Continuum Model of Epitaxial Roughening

1993 ◽  
Vol 317 ◽  
Author(s):  
Jacques G. Amar ◽  
Fereydoon Family

ABSTRACTA continuum equation for epitaxial and thin-film growth in which diffusion along the surface is the dominant relaxation process and the full diffusion along the surface is taken into account, is studied. The interface width is found to grow linearly with time (height) in agreement with recent experiments. At late times dynamic scaling breaks down and the surface develops a characteristic morphology which is similar to that found in experiments.

Fractals ◽  
1993 ◽  
Vol 01 (04) ◽  
pp. 753-766 ◽  
Author(s):  
FEREYDOON FAMILY ◽  
JACQUES G. AMAR

A number of discrete models as well as continuum equations have been proposed for describing epitaxial and thin film growth. We have shown that there exists a macroscopic groove instability in many of these models. This unphysical feature in the continuum equations arises from the truncation or linearization of the diffusion operator along the surface. A similar artifact occurs in the discrete models, because in these models adatoms only diffuse horizontally and must take an unphysical vertical jump at step edges. We have proposed and studied a continuum equation for epitaxial and thin-film growth in which the full diffusion along the surface is taken into account. The results of the solutions of this continuum equation, for the growth and the morphology of the surface, are in excellent agreement with recent low temperature molecular-beam epitaxy and ion-sputtering experiments. In particular, we find that at late times dynamic scaling breaks down and the surface is no longer a self-affine fractal. The surface develops a characteristic morphology whose dependence on deposition rate and surface diffusion is similar to that found in experiments.


1997 ◽  
Vol 56 (2) ◽  
pp. 1522-1530 ◽  
Author(s):  
Chung-Yu Mou ◽  
J. W. P. Hsu

Fractals ◽  
1994 ◽  
Vol 02 (02) ◽  
pp. 211-221
Author(s):  
FEREYDOON FAMILY

This talk will be a review of some of the fundamental ideas behind dynamic scaling of fractal surfaces and how it can be used to characterize the evolution and the morphology of surfaces in engineering related problems. After a brief review, two different applications of dynamic scaling will be discussed. The first is the problem of fluid flow in porous media, and the second example will be the problem of how to describe thin film growth by MBE techniques. These examples should illustrate the generality of the method and its applicability to a wide range of problems in surface science and engineering.


2021 ◽  
Vol 118 (10) ◽  
pp. 102402
Author(s):  
Hiroaki Shishido ◽  
Akira Okumura ◽  
Tatsuya Saimyoji ◽  
Shota Nakamura ◽  
Shigeo Ohara ◽  
...  

2021 ◽  
Author(s):  
Kristina Ashurbekova ◽  
Karina Ashurbekova ◽  
Iva Saric ◽  
Evgeny Modin ◽  
Mladen Petravic ◽  
...  

We developed a thin film growth with a radical-initiated cross-linking of vinyl groups in a layer-by-layer manner via molecular layer deposition (MLD). The cross-linked film exhibited improved properties like 12% higher density and enhanced stability compared to the non-cross-linked film.


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