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Related papers: Morphology of Ion-Sputtered Surfaces

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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…

Condensed Matter · Physics 2009-10-31 S. Park , B. Kahng , H. Jeong , A. -L. Barabasi

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…

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…

Statistical Mechanics · Physics 2008-02-03 A. -L. Barabasi , M. A. Makeev , C. S. Lee , R. Cuerno

A simple (2+1) dimensional discrete model is introduced to study the evolution of solid surface morphologies during ion-beam sputtering. The model is based on the same assumptions about the erosion process as the existing analytic theories.…

Materials Science · Physics 2009-11-07 Alexander K. Hartmann , Reiner Kree , Ulrich Geyer , Matthias Koelbel

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…

Condensed Matter · Physics 2009-10-22 Rodolfo Cuerno , Albert-Laszlo Barabasi

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.…

Materials Science · Physics 2011-04-12 Oluwole Emmanuel Oyewande

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…

Disordered Systems and Neural Networks · Physics 2015-06-24 T. Aste , U. Valbusa

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…

Materials Science · Physics 2009-09-29 Emmanuel O. Yewande , Reiner Kree , Alexander K. Hartmann

Theoretical continuum models that describe the formation of patterns on surfaces of targets undergoing ion-beam sputtering, are based on Sigmund's formula, which describes the spatial distribution of the energy deposited by the ion. For…

Materials Science · Physics 2009-11-10 M. Feix , A. K. Hartmann , R. Kree , J. Munoz-Garcia , R. Cuerno

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…

Soft Condensed Matter · Physics 2007-09-19 T. Aste , U. Valbusa

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…

Materials Science · Physics 2009-11-13 Benny Davidovitch , Michael J. Aziz , Michael P. Brenner

Ion bombardment is known to enhance surface diffusion and affect the surface morphology. To quantify this phenomenon we calculate the ion-induced diffusion constant and its dependence on the ion energy, flux and angle of incidence. We find…

Materials Science · Physics 2009-10-30 Maxim A. Makeev , Albert-Laszlo Barabasi

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…

Statistical Mechanics · Physics 2009-11-11 Javier Muñoz-García , Mario Castro , Rodolfo Cuerno

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…

Materials Science · Physics 2013-01-01 R. O. Akande , O. E. Oyewande

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…

Materials Science · Physics 2007-05-23 T. Aste , U. Valbusa

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…

Adaptation and Self-Organizing Systems · Physics 2014-09-25 Nikolay A. Kudryashov , Mikhail V. Skachkov

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…

Mesoscale and Nanoscale Physics · Physics 2023-01-05 Taha Yasseri , Reiner Kree

Surfaces sputtered by ion beam bombardment have been known to exhibit patterns whose behavior is modeled with stochastic partial differential equations. A widely accepted model is the Cuerno-Barabasi model which is robust in its predictions…

Materials Science · Physics 2010-11-30 Emmanuel O. Yewande , Raphael O. Akande

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…

Materials Science · Physics 2011-04-12 Oluwole Emmanuel Oyewande

We modify the theory of nanoscale patterns produced by ion bombardment with concurrent impurity deposition to take into account the effect that the near-surface impurities have on the collision cascades. As the impurity concentration is…

Materials Science · Physics 2016-05-04 R. Mark Bradley
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