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Related papers: Pulsed sputtering during homoepitaxial surface gro…

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The paper presents results from kinetic Monte Carlo simulations of kinetic surface roughening using an important and experimentally relevant model of epitaxial growth -- the solid-on-solid model with Arrhenius dynamics. A restriction on…

Materials Science · Physics 2014-08-15 Petar P. Petrov , Daniela Gogova

We use experiments and minimal numerical models to investigate the rapidly expanding monolayer formed by the impact of a dense suspension drop against a smooth solid surface. The expansion creates a lace-like pattern of particle clusters…

Fluid Dynamics · Physics 2014-07-30 Luuk A. Lubbers , Qin Xu , Sam Wilken , Wendy W. Zhang , Heinrich M. Jaeger

Surface growth models may give rise to unstable growth with mound formation whose tipical linear size L increases in time. In one dimensional systems coarsening is generally driven by an attractive interaction between domain walls or kinks.…

Statistical Mechanics · Physics 2007-05-23 Alessandro Torcini , Paolo Politi

We consider the growth of a polymer layer on a flat surface in a good solvent by in-situ polymerization. This is viewed as a modified form of diffusion-limited aggregation without branching. We predict theoretically the formation of a…

Statistical Mechanics · Physics 2009-10-31 J. P. Wittmer , M. E. Cates , A. Johner , M. S. Turner

In this article kinetic Monte Carlo simulations for molecular beam epitaxy (MBE) and pulsed laser depositon (PLD) are compared. It will be shown that an optimal pattern conservation during MBE is achieved for a specific ratio of diffusion…

Statistical Mechanics · Physics 2007-05-23 F. Westerhoff , L. Brendel , D. E. Wolf

A nonrelativistic quantum mechanical particle moving freely on a curved surface feels the effect of the nontrivial geometry of the surface through the kinetic part of the Hamiltonian, which is proportional to the Laplace-Beltrami operator,…

Quantum Physics · Physics 2018-10-09 Neslihan Oflaz , Ali Mostafazadeh , Mehrdad Ahmady

Parallel Molecular Dynamics simulations are conducted for describing growth on surfaces with different kind of roughness: a perfect ordered crystalline flat graphite surface, a disordered rough graphite surface and flat surface with an…

Materials Science · Physics 2007-05-23 Pascal Brault , Guy Moebs

Stochastic models of surface growth are usually based on randomly choosing a substrate site to perform iterative steps, as in the etching model [1]. In this paper I modify the etching model to perform sequential, instead of random,…

Statistical Mechanics · Physics 2017-07-19 Bernardo A. Mello

The growth of a rough and porous thin surface by deposition of randomly shaped clusters with different sizes over an initially flat linear substrate is simulated, using Monte Carlo technique. Unlike the ordinary Random Deposition, our…

Mesoscale and Nanoscale Physics · Physics 2012-11-09 ZH. Ebrahiminejad , Seyed Farhad Masoudi , R. S. Dariani , Saeed S. Jahromi

Incoherent surface scattering yields a statistical description of the surface, due to the ensemble averaging over many independently sampled volumes. Depending on the state of the surface and direction of the scattering vector relative to…

Statistical Mechanics · Physics 2009-11-11 Darren Dale , Aaron Fleet , Y. Suzuki , J. D. Brock

Surface growth, by association or dissociation of material on the boundaries of a body, is ubiquitous in both natural and engineering systems. It is the fundamental mechanism by which biological materials grow, starting from the level of a…

Soft Condensed Matter · Physics 2019-03-06 Rami Abi-Akl , Rohan Abeyaratne , Tal Cohen

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…

Coordinated motion of cell monolayers during epithelial wound healing and tissue morphogenesis involves mechanical stress generation. Here we propose a model for the dynamics of epithelial expansion that couples mechanical deformations in…

Soft Condensed Matter · Physics 2015-06-09 Shiladitya Banerjee , Kazage J. C. Utuje , M. Cristina Marchetti

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 this communication we introduce a pair of coupled continuum equations to model overlayer growth with evaporation-accretion due to thermal or mechanical agitations of the substrate. We gain insight into the dynamics of growth via one-loop…

Statistical Mechanics · Physics 2009-11-07 Ain-ul Huda , Omjyoti Dutta , Abhijit Mookerjee

Conventional approaches for scattering manipulations rely on the technique of field expansions into spherical harmonics (electromagnetic multipoles), which nevertheless is non-generic (expansion coefficients depend on the position of the…

Optics · Physics 2024-05-24 Pengxiang Wang , Yuntian Chen , Wei Liu

A continuum one dimensional model of homoepitaxial growth under oblique incidence is investigated. We carried out numerical integration of a continuum equation incorporating a shadowing search algorithm. The interplay between the…

Materials Science · Physics 2008-09-19 Z. Moktadir

A nonrelativistic scalar particle that is constrained to move on an asymptotically flat curved surface undergoes a geometric scattering that is sensitive to the mean and Gaussian curvatures of the surface. A careful study of possible…

Quantum Physics · Physics 2019-10-17 Hai Viet Bui , Ali Mostafazadeh

Inhomogeneities in deposition may lead to formation of rough surfaces, whose height fluctuations can be probed directly by scanning microscopy, or indirectly by scattering. Analytical or numerical treatments of simple growth models suggest…

Condensed Matter · Physics 2009-10-28 Mehran Kardar

Growth and folding in one-layered model tissue sheets are studied in a stochastic, lattice-free single cell model which considers the discrete cellular structure of the tissue, and a coarse grained analytical approach. The polarity of the…

Statistical Mechanics · Physics 2007-05-23 Dirk Drasdo