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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

On the proper timescale, amorphous solids can flow. Solid flow can be observed macroscopically in glaciers or lead pipes, but it can also be artificially enhanced by creating defects. Ion Beam Sputtering (IBS) is a technique in which ions…

Materials Science · Physics 2012-03-07 Mario Castro , Rodolfo Cuerno

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

Chemical, mechanical, thermal and/or electronic properties of bulk or low-dimensional materials can be engineered by introducing structural defects to form novel functionalities. When using particles irradiation, these defects can be…

Materials Science · Physics 2022-02-07 L. Basta , A. Moscardini , S. Veronesi , F. Bianco

Ion-beam irradiation of an amorphizable material such as Si or Ge may lead to spontaneous pattern formation, rather than flat surfaces, for irradiation beyond some critical angle against the surface normal. It is observed experimentally…

Materials Science · Physics 2022-11-01 Tyler Evans , Scott Norris

Recently it was experimentally demonstrated that sputtering under normal incidence leads to the formation of spatially ordered uniform nanoscale islands or holes. Here we show that these nanostructures have inherently nonlinear origin,…

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

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

In the crater function approach to the erosion of a solid surface by a broad ion beam, the average crater produced by the impact of an ion is used to compute the constant coefficients in the continuum equation of motion for the surface. We…

Mesoscale and Nanoscale Physics · Physics 2015-06-19 Matt P. Harrison , R. Mark Bradley

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

The production of nanopatterns on the surfaces of targets irradiated by ion beams at low and intermediate energies has developed during the present decade to a salient degree of control over the main pattern features. However, there is…

The off-normal ion irradiation of semiconductor materials is seen to induce nanopatterning effects. Different theories are proposed to explain the mechanisms that drive self-reorganization of amorphisable surfaces. One of the prominent…

Materials Science · Physics 2022-11-24 A. Lopez-Cazalilla , F. Djurabekova , K. Nordlund

We consider in the article the influence of the irradiation and the internal sinks of the point defects on the rate of the flattening of the surface structure in solids. The irradiation produces only the additional external sources of point…

Materials Science · Physics 2007-05-23 V. M. Apalkov , Yu. I. Boiko , V. V. Slezov , H. D. Carstanjen

Chemical transformations, such as ion exchange, are commonly employed to modify nanocrystal compositions. Yet the mechanisms of these transformations, which often operate far from equilibrium and entail mixing diverse chemical species,…

Statistical Mechanics · Physics 2022-05-18 Layne B. Frechette , Christoph Dellago , Phillip L. Geissler

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 show that the ion beam induced incompressible amorphous solid flow in terms of advection transport mechanism leads to the erosion and deposition of atoms at the amorphous/crystalline (a/c) interface resulting in the formation of pattern…

Materials Science · Physics 2014-02-25 Tanuj Kumar , D. C. Agarwal , S. A. Khan , N. P. Lalla , D. Kanjilal

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

Ion Beam Sputtering (IBS) is known to produce surface nanopatterns over macroscopic areas on a wide range of materials. However, in spite of the technological potential of this route to nanostructuring, the physical process by which these…

Materials Science · Physics 2015-06-04 M. Castro , R. Gago , L. Vázquez , J. Muñoz-García , R. Cuerno

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…

Materials Science · Physics 2007-05-23 Maxim Makeev , Rodolfo Cuerno , Albert-László Barabási

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…

Materials Science · Physics 2008-02-09 Emmanuel O. Yewande , Reiner Kree , Alexander K. Hartmann

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
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