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Related papers: Revisiting step instabilities on crystal surfaces.…

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Electromigration-induced step bunching in the presence of sublimation or deposition is studied theoretically in the attachment-limited regime. We predict a phase transition as a function of the relative strength of kinetic asymmetry and…

Statistical Mechanics · Physics 2009-11-11 Vladislav Popkov , Joachim Krug

The step motions considered are those in which crystallization is controlled by a single diffusion process, either the substance diffusion for growth from solution or the flow of latent heat from the step for growth from melt. Quasi-static…

Condensed Matter · Physics 2009-10-22 Serge Yu. Potapenko

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…

Materials Science · Physics 2009-11-10 Masahide Sato , Makio Uwaha , Tomonori Mori , Yukio Hirose

In the past fifteen years, flow instabilities reminiscent of the Taylor-like instabilities driven by hoop stresses, have been observed in wormlike micelles based on surfactant molecules. In particular, purely elastic instabilities and…

Soft Condensed Matter · Physics 2025-09-18 Xiaoxiao Yang , Darius Marin , Charlotte Py , Olivier Cardoso , Anke Lindner , Sandra Lerouge

Epitaxial (001) BiFeO3 thin films grown on vicinal SrTiO3 substrates are under large anisotropic stress from the substrates. The variations of the crystallographic tilt angle and the c lattice constant, caused by the lattice mismatch, along…

Materials Science · Physics 2015-05-20 T. H. Kim , S. H. Baek , S. Y. Jang , S. M. Yang , S. H. Chang , T. K. Song , J. -G. Yoon , C. B. Eom , J. -S. Chung , T. W. Noh

We report for the first time the observation of bunching of monoatomic steps on vicinal W(110) surfaces induced by step up or step down currents across the steps. Measurements reveal that the size scaling exponent {\gamma}, connecting the…

The formation of mounded surfaces in epitaxial growth is attributed to the presence of barriers against interlayer diffusion in the terrace edges, known as Ehrlich-Schwoebel (ES) barriers. We investigate a model for epitaxial growth using a…

Statistical Mechanics · Physics 2015-03-13 F. F. Leal , S. C. Ferreira , S. O. Ferreira

The random deposition model must be enriched to reflect the variety of surface roughness due to some material characteristics of the film growing by vacuum deposition or sputtering. The essence of the computer simulation in this case is to…

Condensed Matter · Physics 2007-05-23 K. Malarz , A. Z. Maksymowicz

We report new results on the non-conserved dynamics of parallel steps on vicinal surfaces in the case of sublimation with electromigration and step-step interactions. The derived equations are valid in the quasistatic approximation and in…

Statistical Mechanics · Physics 2015-05-30 Marian Ivanov , Joachim Krug

Using a Monte Carlo method on a lattice model of a vicinal surface with short-range step-step attraction, we show that, at low temperature and near equilibrium, there is an inhibition of the motion of macro-steps. This inhibition leads to a…

Chemical Physics · Physics 2017-11-15 Noriko Akutsu

We study the onset and development of ledge instabilities during growth of vicinal metal surfaces using kinetic Monte Carlo simulations. We observe the formation of periodic patterns at [110] close packed step edges on surfaces vicinal to…

Condensed Matter · Physics 2009-11-07 M. Rusanen , I. T. Koponen , J. Heinonen , T. Ala-Nissila

Step pattern stability of the vicinal surfaces during growth was analyzed using various surface kinetic models. It was shown that standard analysis of the vicinal surfaces provides no indication on the possible step coalescence and…

Frank's prediction of the spiral growth mode in 1949 defined a pivotal moment in the history of crystal growth. In recent decades the topic has received less attention, and instead we have seen a resurrection of two-dimensional nucleation…

Materials Science · Physics 2008-03-20 Joachim Krug

This study presents a comprehensive and innovative exploration of how the surface potential energy landscape influences meander formation. Using the Vicinal Cellular Automaton model, which distinguishes surface diffusion from adatom…

Mesoscale and Nanoscale Physics · Physics 2025-04-04 Marta A. Chabowska , Hristina Popova , Magdalena A. Załuska-Kotur

By carrying out Monte Carlo simulations,we study step bunching during solution growth. For simplicity, we consider a square lattice, which represents a diffusion field in a solution, and express the diffusion of atoms as the hopping of…

Materials Science · Physics 2015-05-20 Masahide Sato

It is shown that step moving to meet solution flow can be unstable against lateral perturbations. The instability of long-wavelength perturbations occurs at values of the solution flow intensity less than some critical value depending on…

Condensed Matter · Physics 2009-10-28 Serge Yu. Potapenko

We consider a simple model for the growth of isolated steps on a vicinal crystal surface. It incorporates diffusion and drift of adatoms on the terrace, and strong step and kink edge barriers. Using a combination of analytic methods and…

Materials Science · Physics 2009-10-31 J. Heinonen , I. Bukharev , T. Ala-Nissila , J. M. Kosterlitz

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 show that the oscillatory driving of crystal surfaces can induce pattern formation or smoothening. The driving force can be of quite different origin such as a pulsed laser beam, an electric field, or elasticity. Depending on driving…

Statistical Mechanics · Physics 2009-10-31 O. Pierre-Louis , M. I. Haftel

Kinetic Monte Carlo simulation in conjunction with molecular dynamics simulation is utilized to study the effect of the steered deposition on the growth of Cu on Cu(1,1,17). It is found that the deposition flux becomes inhomogeneous in step…

Materials Science · Physics 2009-11-10 Jikeun Seo , Hye-Young Kim , J. -S. Kim