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A discrete version of deposition-diffusion equations appropriate for description of step flow on a vicinal surface is analyzed for a two-dimensional grid of adsorption sites representing the stepped surface and explicitly incorporating…

Mesoscale and Nanoscale Physics · Physics 2016-04-11 R. Zhao , J. W. Evans , T. J. Oliveira

We consider the growth of a vicinal crystal surface in the presence of a step-edge barrier. For any value of the barrier strength, measured by the length l_es, nucleation of islands on terraces is always able to destroy asymptotically…

Statistical Mechanics · Physics 2007-05-23 Daniele Vilone , Claudio Castellano , Paolo Politi

We discuss the growth process of a crystalline phase out of a metastable over-compressed liquid that is brought into contact with a crystalline substrate. The process is modeled by means of molecular dynamics. The particles interact via the…

Soft Condensed Matter · Physics 2014-08-07 Francesco Turci , Tanja Schilling

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…

Materials Science · Physics 2009-11-10 Joachim Krug , Vesselin Tonchev , Stoyan Stoyanov , Alberto Pimpinelli

Step meandering due to a deterministic morphological instability on vicinal surfaces during growth is studied. We investigate nonlinear dynamics of a step model with asymmetric step kinetics, terrace and line diffusion, by means of a…

Statistical Mechanics · Physics 2009-10-31 F. Gillet , O. Pierre-Louis , C. Misbah

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…

Statistical Mechanics · Physics 2009-11-11 Thomas Frisch , Alberto Verga

We investigate the growth kinetics on vicinal GaAs(001) surfaces by making detailed comparisons between reflection high--energy electron--diffraction specular intensity measured near in--phase diffraction conditions and the surface step…

Condensed Matter · Physics 2009-10-22 Pavel Šmilauer , Dimitri D. Vvedensky

We study a recently proposed nonlinear evolution equation describing the collective step meander on a vicinal surface subject to the Bales-Zangwill growth instability [O. Pierre-Louis et al., Phys. Rev. Lett. (80), 4221 (1998)]. A careful…

Materials Science · Physics 2009-10-31 J. Kallunki , J. Krug

For low to moderate supersaturations, crystals grow by lateral build-up of new layers. The edges of the layers are known as "steps". We consider the rate of step advance on a flat crystal face under the influence of bulk diffusion in the…

Other Condensed Matter · Physics 2014-04-03 Rasmus Persson

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…

Materials Science · Physics 2021-08-25 L. Guin , M. E. Jabbour , N. Triantafyllidis

As a departure from existing continuum approaches for describing the stability and evolution of surfaces of crystalline materials, this article provides a description of surface evolution based on the physics of the main feature imposed by…

Condensed Matter · Physics 2009-11-07 V. B. Shenoy , L. B. Freund

Droplets move on substrates with a spatio-temporal wettability pattern as generated, for example, on light-switchable surfaces. To study such cases, we implement the boundary-element method to solve the governing Stokes equations for the…

Fluid Dynamics · Physics 2021-03-16 Josua Grawitter , Holger Stark

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…

Statistical Mechanics · Physics 2009-11-07 Jouni Kallunki , Joachim Krug , Miroslav Kotrla

The (1+1)-dimensional kinetic model of crystal growth with simulated self-attraction and random sequential or parallel dynamics is introduced and studied via Monte-Carlo simulations. To imitate the attraction of absorbing atoms the…

Statistical Mechanics · Physics 2008-11-27 P. N. Timonin

We show that the decay of sinusoidal ripples on crystal surfaces, where mass transport is limited by the attachment and detachment of atoms at the step-edges, is remarkably different from the decay behavior that has been reported until now.…

Materials Science · Physics 2009-11-10 V. B. Shenoy , A. Ramasubramaniam , H. Ramanarayan , D. T. Tambe , W-L. Chan , E. Chason

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…

Materials Science · Physics 2017-09-13 F. Krzyżewski , M. Załuska-Kotur , A. Krasteva , H. Popova , V. Tonchev

The properties of artificially grown thin films are strongly affected by surface processes during growth. Coherent X-rays provide an approach to better understand such processes and fluctuations far from equilibrium. Here we report results…

We study spreading dynamics of nematic liquid crystal droplets within the framework of the long-wave approximation. A fourth order nonlinear parabolic partial differential equation governing the free surface evolution is derived. The…

Fluid Dynamics · Physics 2013-07-19 Te-Sheng Lin , Lou Kondic , Uwe Thiele , Linda J. Cummings

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…

Materials Science · Physics 2021-10-04 Lucas Benoit--Maréchal , Michel E. Jabbour , Nicolas Triantafyllidis

We investigate the nonlinear evolution of the Bales-Zangwill instability, responsible for the meandering of atomic steps on a growing vicinal surface. We develop an asymptotic method to derive, in the continuous limit, an evolution equation…

Materials Science · Physics 2014-06-17 Alberto Verga