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The Burton-Cabrera-Frank (BCF) model for the flow of line defects (steps) on crystal surfaces has offered useful insights into nanostructure evolution. This model has rested on phenomenological grounds. Our goal is to show via scaling…

介观与纳米尺度物理 · 物理学 2015-06-22 Jianfeng Lu , Jian-Guo Liu , Dionisios Margetis

We studied the step dynamics during sublimation and growth in the presence of electromigration force acting on the adatoms. In the limit of fast surface diffusion and slow kinetics of atom attachment-detachment at the steps we formulate a…

化学物理 · 物理学 2009-11-13 Bogdan Ranguelov , Stoyan Stoyanov

By taking account of the alternation of structural parameters, we study bunching of impermeable steps induced by drift of adatoms on a vicinal face of Si(001). With the alternation of diffusion coefficient, the step bunching occurs…

材料科学 · 物理学 2009-11-10 Masahide Sato , Makio Uwaha , Tomonori Mori , Yukio Hirose

We devise a new 1D atomistic scale model of vicinal growth based on Cellular Automaton. In it the step motion is realized by executing the automaton rule prescribing how adatoms incorporate into the vicinal crystal. Time increases after…

材料科学 · 物理学 2017-09-13 F. Krzyżewski , M. Załuska-Kotur , A. Krasteva , H. Popova , V. Tonchev

We study the step meandering instability on a surface characterized by the alternation of terraces with different properties, as in the case of Si(001). The interplay between diffusion anisotropy and step stiffness induces a finite…

统计力学 · 物理学 2009-11-11 Thomas Frisch , Alberto Verga

The quasistatic approximation is a useful but questionable simplification for analyzing step instabilities during the growth/evaporation of vicinal surfaces. Using this approximation, we characterized in Part I of this work the effect on…

材料科学 · 物理学 2021-08-25 L. Guin , M. E. Jabbour , L. Shaabani-Ardali , N. Triantafyllidis

Burton-Cabrera-Frank (BCF) theory has proven to be a versatile framework to relate surface morphology and dynamics during crystal growth to the underlying mechanisms of adatom diffusion and attachment at steps. For an important class of…

We study the evolution of step bunches on vicinal surfaces using a thermodynamically consistent step-flow model that (i) circumvents the quasistatic approximation that prevails in the literature by accounting for the dynamics of adatom…

材料科学 · 物理学 2021-10-04 Lucas Benoit--Maréchal , Michel E. Jabbour , Nicolas Triantafyllidis

In order to study the unstable step motion on vicinal crystal surfaces we devise vicinal Cellular Automata. Each cell from the colony has value equal to its height in the vicinal, initially the steps are regularly distributed. Another array…

The coexistence of step bunching and step meandering remains contradictory in the understanding of the unstable step-flow growth. Considered separately, the two instabilities have generated rich but largely independent modeling traditions.…

Stepped GaN(0001) surface is studied by the kinetic Monte Carlo method and compared with the model based on Burton-Carbera-Frank equations. Successive stages of surface pattern evolution during high temperature sublimation process are…

材料科学 · 物理学 2015-06-04 M. A. Zaluska-Kotur , F. Krzyzewski , S. Krukowski

We study the effect of two-dimensionality on step bunching induced by drift of adatoms. When anisotropy of the diffusion coefficient changes alternately on consecutive terraces like a Si(001) vicinal face, bunching occurs with the drift of…

材料科学 · 物理学 2007-05-23 Masahide Sato , Makio Uwaha , Yukio Hirose

In this study, the phase field model of crack propagation is used to study the dynamic branching instability in the case of inplane loading in two dimensions. Simulation results are in good agreement with theoretical predictions and…

材料科学 · 物理学 2008-06-18 H. Henry

This work provides a ground for a quantitative interpretation of experiments on step bunching during sublimation of crystals with a pronounced Ehrlich-Schwoebel (ES) barrier in the regime of weak desorption. A strong step bunching…

材料科学 · 物理学 2009-11-10 Joachim Krug , Vesselin Tonchev , Stoyan Stoyanov , Alberto Pimpinelli

We discuss the results of a study of restricted solid-on-solid models for fcc (110) surfaces. These models are simple modifications of the exactly solvable BCSOS model, and are able to describe a $(2\times 1)$ missing-row reconstructed…

凝聚态物理 · 物理学 2009-10-28 G. Santoro , M. Vendruscolo , S. Prestipino , E. Tosatti

We study the meandering instability during growth of an isolated nanostructure, a crystalline cone, consisting of concentric circular steps. The onset of the instability is studied analytically within the framework of the standard…

材料科学 · 物理学 2009-11-07 M. Rusanen , I. T. Koponen , T. Ala-Nissila

The meander instability of a vicinal surface growing under step flow conditions is studied within a solid-on-solid model. In the absence of edge diffusion the selected meander wavelength agrees quantitatively with the continuum linear…

统计力学 · 物理学 2009-11-07 Jouni Kallunki , Joachim Krug , Miroslav Kotrla

We study the step bunching process in three different 1D step flow models and obtain scaling relations for the step bunches formed in the long times limit. The first one was introduced by S.Stoyanov [Jap. J.Appl. Phys. 29, (1990) L659] as…

材料科学 · 物理学 2012-05-15 Bogdan Ranguelov , Vesselin Tonchev , Chaouqi Misbah

By Monte Carlo simulations of a soft ellipsoid model for liquid crystals, we study whether a layer of grafted liquid-crystalline chain molecules can induce tilt in a nematic fluid. The chains are fairly short (four monomers) and made of the…

材料科学 · 物理学 2009-11-07 Harald Lange , Friederike Schmid

In the experiments on stress-induced phase transitions in SMA strips, several interesting instability phenomena have been observed, including a necking-type instability, a shear-type instability and an orientation instability. By using the…

经典物理 · 物理学 2009-10-15 Hui-Hui Dai , Zongxi Cai