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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

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

Bunching of steps at the surface of growing crystals can be induced by both directions of the driving force: step up and step down. The processes happen in different adatom concentrations and differ in character. In this study we show how…

材料科学 · 物理学 2020-01-24 Hristina Popova , Filip Krzyżewski , Magdalena Załuska-Kotur , Vesselin Tonchev

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 step bunching under conditions of attachment/detachment limited kinetics in the presence of a deposition or sublimation flux, which leads to bunch motion. Analysis of the discrete step dynamics reveals that the bunch velocity is…

统计力学 · 物理学 2009-11-11 V. Popkov , J. Krug

We study a minimal stochastic model of step bunching during growth on a one-dimensional vicinal surface. The formation of bunches is controlled by the preferential attachment of atoms to descending steps (inverse Ehrlich-Schwoebel effect)…

统计力学 · 物理学 2009-11-10 Frantisek Slanina , Joachim Krug , Miroslav Kotrla

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 use a one-dimensional step model to study quantitatively the growth of step bunches on Si(111) surfaces induced by a direct heating current. Parameters in the model are fixed from experimental measurements near 900 deg C under the…

材料科学 · 物理学 2009-10-31 Da-Jiang Liu , John D. Weeks

We use kinetic Monte Carlo simulations to understand growth- and etching-induced step bunching of 6H-SiC{0001} vicinal surfaces oriented towards [1-100] and [11-20]. By taking account of the different rates of surface diffusion on three…

材料科学 · 物理学 2009-09-30 Valery Borovikov , Andrew Zangwill

The temporal evolution of equilibrium fluctuations for surface steps of monoatomic height is analyzed studying one-dimensional solid-on-solid models. Using Monte Carlo simulations, fluctuations due to periphery-diffusion (PD) as well as due…

统计力学 · 物理学 2014-07-31 Walter Selke

We study the step bunching kinetic instability in a growing crystal surface characterized by anisotropic diffusion. The instability is due to the interplay between the elastic interactions and the alternation of step parameters. This…

统计力学 · 物理学 2009-11-11 T. Frisch , A. Verga

We study the splitting of regular square lattices subject to stochastic intermittent flows. Various flow patterns are produced by different groupings of the nodes, based on their random alternation between two possible states. The resulting…

物理与社会 · 物理学 2013-05-29 Markus Schläpfer , Konstantinos Trantopoulos

When a stable phase is adjacent to a metastable phase with a planar interface, the stable phase grows. We propose a stochastic lattice model describing the phase growth accompanying heat diffusion. The model is based on an energy-conserving…

统计力学 · 物理学 2024-10-14 Mao Hiraizumi , Hiroki Ohta , Shin-ichi Sasa

We study further the recently introduced [Ranguelov et al., Comptes Rendus de l'Acad. Bulg. des Sci. 60, 4 (2007) 389] "C+-C-" model of step flow crystal growth over wide range of model parameters. The basic assumption of the model is that…

统计力学 · 物理学 2009-12-08 Vesselin Tonchev , Bogdan Ranguelov , Hiroo Omi , Alberto Pimpinelli

We formulate a new (1+1)D step model of potentially unstable vicinal growth that we call "C+ - C-" model and study the step bunching process in it. The basic assumption is that the equilibrium adatom concentrations on both sides of the step…

化学物理 · 物理学 2007-05-23 Bogdan Ranguelov , Vesselin Tonchev , Hiroo Omi , Alberto Pimpinelli

The classification of bunching of straight steps on vicinal crystal surfaces identifies two types according to the behavior of the minimal step-step distance in the bunch lmin with increasing the number of steps N in it. In the B1-type lmin…

材料科学 · 物理学 2012-05-15 Vesselin Tonchev

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

Epitaxial growth on a surface vicinal to a high-symmetry crystallographic plane occurs through the propagation of atomic steps, a process called step-flow growth. In some instances, the steps tend to form close groups (or bunches), a…

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

We introduce two hybrid models of step bunching on vicinal crystal surfaces. The model equations for step velocity are constructed by the two possible exchanges of terms between the equations of two primary models MM2 and LW2…

材料科学 · 物理学 2011-10-13 Diana Staneva , Bogdan Ranguelov , Vesselin Tonchev

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
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