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We approach the old-standing problem of vicinal crystal surfaces destabilized by step-down and step step-up currents from a unified modelling viewpoint with focus on both the initial and the intermediate stages of the instability. We…

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

Using the plane wave pseudopotential method we performed density functional theory calculations on the stability of steps and self-diffusion processes on Ag(100). Our calculated step formation energies show that the {111}-faceted step is…

材料科学 · 物理学 2009-10-28 Byung Deok Yu , Matthias Scheffler

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…

统计力学 · 物理学 2007-05-23 Daniele Vilone , Claudio Castellano , Paolo Politi

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

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

Codeposition of impurities during the growth of a vicinal surface leads to an impurity concentration gradient on the terraces, which induces corresponding gradients in the mobility and the chemical potential of the adatoms. Here it is shown…

材料科学 · 物理学 2009-11-07 Joachim Krug

We propose a one-dimensional model based on the Burton-Cabrera-Frank equations to describe the electromigration-induced step bunching instability on vicinal surfaces. The step drift resulting from atomic evaporation and/or deposition is…

材料科学 · 物理学 2009-11-13 Matthieu Dufay , Thomas Frisch , Jean-Marc Debierre

We studied the step dynamics during crystal sublimation and growth in the limit of fast surface diffusion and slow kinetics of atom attachment-detachment at the steps. For this limit we formulate a model free of the quasi-static…

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

Gradient-driven diffusion in crowded, multicomponent mixtures is a topic of high interest because of its role in biological processes such as transport in cell membranes. In partially phase-separated solutions, gradient-driven diffusion…

软凝聚态物质 · 物理学 2017-02-15 Prithviraj Nandigrami , Brandy Grove , Andrew Konya , Robin L. B. Selinger

Mixing at the interface between a convection zone and an adjacent, stably-stratified layer plays a crucial role in shaping the structure and evolution of stars and planets. In this work, we present a suite of 2D and 3D Boussinesq…

流体动力学 · 物理学 2025-11-06 Bradley W. Hindman , J. R. Fuentes

The diffusion type is determined not only by microscopic dynamics but also by the environment properties. For example, the environment's fractal structure is responsible for the emergence of subdiffusive scaling of the mean square…

统计力学 · 物理学 2021-10-26 Piotr Kubala , Michał Cieśla , Bartłomiej Dybiec

Adatom incorporation into the ``faceted'' steps bordering the 2D nanoislands is analyzed. The step permeability and incorporation coefficients are derived for some typical growth situations. It is shown that the step consisting of…

材料科学 · 物理学 2015-06-25 Sergey N. Filimonov , Yuri Yu. Hervieu

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.…

We analyse how simple local constraints in two dimensions lead a defect to exhibit robust, non-transient, and tunable, subdiffusion. We uncover a rich dynamical phenomenology realised in ice- and dimer-type models. On the microscopic scale…

介观与纳米尺度物理 · 物理学 2025-04-02 Nilotpal Chakraborty , Markus Heyl , Roderich Moessner

We report numerical results for two models of vicinal motion. The first, LW, aims at crystal evaporation when the detachment from steps is slow [Liu and Weeks, PRB 57, 23 (1998) 14891]. The source of destabilization is electromigration…

材料科学 · 物理学 2010-05-06 Diana Staneva , Bogdan Ranguelov , Vesselin Tonchev

We present results for collective diffusion of adatoms on a stepped substrate with a submonolayer coverage. We study the combined effect of the additional binding at step edge, the Schwoebel barrier, the enhanced diffusion along step edges,…

凝聚态物理 · 物理学 2009-10-28 Juha Merikoski , See-Chen Ying

We study the topological configurations and dynamics of individual point defect vacancies and interstitials in a two-dimensional colloidal crystal. Our Brownian dynamics simulations show that the diffusion mechanism for vacancy defects…

软凝聚态物质 · 物理学 2009-11-11 A. Libal , C. Reichhardt , C. J. Olson Reichhardt

The dynamics of the avalanche mixing in a slowly rotated 2D upright drum is studied in the situation where the difference $\delta$ between the angle of marginal stability and the angle of repose of the granular material is finite. An…

凝聚态物理 · 物理学 2007-05-23 S. N. Dorogovtsev

Step meandering during growth of gallium nitride (0001) surface is studied using kinetic Monte Carlo method. Simulated growth process, conducted in N-rich conditions are therefore controlled by Ga atoms surface diffusion. The model employs…

统计力学 · 物理学 2011-10-24 Magdalena A. Załuska-Kotur , Filip Krzyżewski , Stanisław Krukowski