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We derive a stochastic nonlinear continuum theory to describe the morphological evolution of amorphous surfaces eroded by ion bombardment. Starting from Sigmund's theory of sputter erosion, we calculate the coefficients appearing in the…

材料科学 · 物理学 2007-05-23 Maxim Makeev , Rodolfo Cuerno , Albert-László Barabási

Surfaces eroded by ion-sputtering are sometimes observed to develop morphologies which are either ripple (periodic), or rough (non-periodic). We introduce a discrete stochastic model that allows us to interpret these experimental…

凝聚态物理 · 物理学 2009-10-28 Rodolfo Cuerno , Hernan A. Makse , Silvina Tomassone , Stephen T. Harrington , H. E. Stanley

Many morphological features of sputter eroded surfaces are determined by the balance between ion induced linear instability and surface diffusion. However, the impact of the nonlinear terms on the morphology is less understood. We…

凝聚态物理 · 物理学 2009-10-31 S. Park , B. Kahng , H. Jeong , A. -L. Barabasi

We implement substrate rotation in a 2+1 dimensional solid-on-solid model of ion beam sputtering of solid surfaces. With this extension of the model, we study the effect of concurrent rotation, as the surface is sputtered, on possible…

材料科学 · 物理学 2008-02-09 Emmanuel O. Yewande , Reiner Kree , Alexander K. Hartmann

We study solid surface morphology created by off-normal ion-beam sputtering with an atomistic, solid-on-solid model of sputter erosion. With respect to an earlier version of the model, we extend this model with the inclusion of lateral…

材料科学 · 物理学 2009-09-29 Emmanuel O. Yewande , Reiner Kree , Alexander K. Hartmann

Several, recently proposed methods of surface manufacturing based on ion beam sputtering, which involve dual beam setups, sequential application of ion beams from different directions, or sample rotation, are studied with the method of…

介观与纳米尺度物理 · 物理学 2023-01-05 Taha Yasseri , Reiner Kree

We study the morphological evolution of surfaces during ion sputtering and we compare their dynamical roughening with aeolian ripple formation in sandy deserts. We show that, although the two phenomena are physically different, they must…

软凝聚态物质 · 物理学 2007-09-19 T. Aste , U. Valbusa

In the continuum theory the time evolution of surfaces eroded by ion bombardment is modelled by stochastic partial differential equations (SPDEs). These determine the scaling regimes and universality classes of the evolving surfaces.…

材料科学 · 物理学 2011-04-12 Oluwole Emmanuel Oyewande

Recent experimental studies focusing on the morphological properties of surfaces eroded by ion-bombardment report the observation of self-affine fractal surfaces, while others provide evidence about the development of a periodic ripple…

统计力学 · 物理学 2008-02-03 A. -L. Barabasi , M. A. Makeev , C. S. Lee , R. Cuerno

We apply a theoretical approach, originally introduced to describe aeolian ripples formation in sandy deserts, to the study of surface instability in ion sputtered surfaces. The two phenomena are distinct by several orders of magnitudes and…

无序系统与神经网络 · 物理学 2015-06-24 T. Aste , U. Valbusa

We study the morphological evolution of surfaces during ion sputtering and we compare their dynamical roughening with aeolian ripple formation in sandy deserts. We show that the two phenomena can be described within the same theoretical…

材料科学 · 物理学 2007-05-23 T. Aste , U. Valbusa

The generalised continuum theory model of the dynamical evolution of surfaces sputtered by ion-bombardment is a noisy Kuramoto-Sivashinsky type partial differential equation. For some generic cases of sputtering parameters, existing similar…

材料科学 · 物理学 2011-04-12 Oluwole Emmanuel Oyewande

Surfaces sputtered by ion beam bombardment have been known to exhibit patterns whose behavior is modeled with stochastic partial differential equations. However, we apply a new approach by the use of the famous Lorentz equations to simulate…

材料科学 · 物理学 2013-01-01 R. O. Akande , O. E. Oyewande

The classical theory of ion beam sputtering predicts the instability of a flat surface to uniform ion irradiation at any incidence angle. We relax the assumption of the classical theory that the average surface erosion rate is determined by…

材料科学 · 物理学 2009-11-13 Benny Davidovitch , Michael J. Aziz , Michael P. Brenner

A three-dimensional simulation model is proposed here to study the erosive wear of structure caused by solid particles, which accounts for the accumulation of surface deformation and degradation during the erosion process. Although there…

流体动力学 · 物理学 2025-03-04 Vinh D. X. Nguyen , A. Kiet Tieu , Damien Andre , Hongtao Zhu

An efficient approach for the simulation of ion scattering from solids is proposed. For every encountered atom, we take multiple samples of its thermal displacements among those which result in scattering with high probability to finally…

材料科学 · 物理学 2011-05-18 V. A. Khodyrev , R. Andrzejewski , A. Rivera , D. O. Boerma , J. E. Prieto

Periodic ripples generated from the off-normal incidence ion beam bombardment of solid surfaces have been observed to propagate with a dispersion in the velocity. We investigate this ripple behaviour by means of a Monte Carlo model of the…

材料科学 · 物理学 2007-05-23 Emmanuel O. Yewande , Alexander K. Hartmann , Reiner Kree

We derive a stochastic nonlinear equation to describe the evolution and scaling properties of surfaces eroded by ion bombardment. The coefficients appearing in the equation can be calculated explicitly in terms of the physical parameters…

凝聚态物理 · 物理学 2009-10-22 Rodolfo Cuerno , Albert-Laszlo Barabasi

Numerical simulation of pattern formation on plane target surfaces undergoing ion-beam sputtering is carried out. Base of the mathematical model of target ion-sputtering is nonlinear evolutionary equation in which the erosion velocity…

适应与自组织系统 · 物理学 2014-09-25 Nikolay A. Kudryashov , Mikhail V. Skachkov

Erosion by ion-beam sputtering (IBS) of amorphous targets at off-normal incidence frequently produces a (nanometric) rippled surface pattern, strongly resembling macroscopic ripples on aeolian sand dunes. Suitable generalization of…

统计力学 · 物理学 2009-11-11 Javier Muñoz-García , Mario Castro , Rodolfo Cuerno
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