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The scaling behavior of cyclical growth (e.g. cycles of alternating deposition and desorption primary processes) is investigated theoretically and probed experimentally. The scaling approach to kinetic roughening is generalized to cyclical…

Statistical Mechanics · Physics 2009-11-07 Subhadip Raychaudhuri , Yonathan Shapir , David G. Foster , Jacob Jorne

The complicated dynamics of the contact line of a moving droplet on a solid substrate often hamper the efficient modeling of microfluidic systems. In particular, the selection of the effective boundary conditions, specifying the contact…

Fluctuations of isolated and pairs of ascending steps of monoatomic height are studied in the framework of SOS models, using mainly Monte Carlo techniques. Below the roughening transistion of the surface, the profiles of long steps show the…

Statistical Mechanics · Physics 2009-11-07 W. Selke , F. Szalma , J. S. Hager

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

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

Spiral surface growth is well understood in the limit where the step motion is controlled by the local supersaturation of adatoms near the spiral ridge. In epitaxial thin-film growth, however, spirals can form in a step-flow regime where…

Materials Science · Physics 2009-10-31 Alain Karma , Mathis Plapp

An efficient method for the simulation of strained heteroepitaxial growth with intermixing using kinetic Monte Carlo is presented. The model used is based on a solid-on-solid bond counting formulation in which elastic effects are…

Materials Science · Physics 2015-05-13 Arvind Baskaran , Jason Devita , Peter Smereka

A method based on the kinetics of adatoms on a growing surface under epitaxial growth at low temperature in (1+1) dimensions is proposed to obtain a closed form of local growth equation. It can be generalized to any growth problem as long…

Soft Condensed Matter · Physics 2009-11-10 S. V. Ghaisas

The sessile microbial communities known as biofilms exhibit varying architectures as environmental factors are varied, which for immersed biofilms includes the shear rate of the surrounding flow. Here we modify an established agent-based…

Biological Physics · Physics 2014-03-11 D. A. Head

Surface roughness emerges naturally during mechanical removal of material, fracture, chemical deposition, plastic deformation, indentation, and other processes. Here, we use continuum simulations to show how roughness which is neither…

Soft Condensed Matter · Physics 2024-02-01 Lucas Frérot , Lars Pastewka

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

A huge number of technological and biological systems involves the lubricated contact between rough surfaces of soft solids in relative accelerated motion. Examples include dynamical rubber seals and the human joints. In this study we…

Soft Condensed Matter · Physics 2017-02-09 M. Scaraggi , L. Dorogin , J. Angerhausen , H. Murrenhoff , B. N. J. Persson

Growth occurs in a wide range of systems ranging from biological tissue to additive manufacturing. This work considers surface growth, in which mass is added to the boundary of a continuum body from the ambient medium or from within the…

Analysis of PDEs · Mathematics 2021-05-27 Kiana Naghibzadeh , Noel Walkington , Kaushik Dayal

We present a position Langevin equation for overdamped particle motion on rough two-dimensional surfaces. A Brownian Dynamics algorithm is suggested to evolve this equation numerically, allowing for the prediction of effective (projected)…

Soft Condensed Matter · Physics 2009-11-13 Ali Naji , Frank L. H. Brown

Unstable homoepitaxy on rough substrates is treated within a linear continuum theory. The time dependence of the surface width $W(t)$ is governed by three length scales: The characteristic scale $l_0$ of the substrate roughness, the terrace…

Statistical Mechanics · Physics 2007-05-23 Joachim Krug , Martin Rost

We present a method to derive an analytical expression for the roughness of an eroded surface whose dynamics are ruled by cellular automaton. Starting from the automaton, we obtain the time evolution of the height average and height…

We study the evolution of an initially random distribution of particles on a square lattice, under certain rules for `growing' and `culling' of particles. In one version we allow the particles to move laterally along the surface (mobile…

Soft Condensed Matter · Physics 2009-11-07 Tapati Dutta , Nikolai Lebovka , S. Tarafdar

We simulate a growth model with restricted surface relaxation process in d=1 and d=2, where d is the dimensionality of a flat substrate. In this model, each particle can relax on the surface to a local minimum, as the Edwards-Wilkinson…

Statistical Mechanics · Physics 2009-11-07 T. J. da Silva , J. G. Moreira

In this paper, we investigate the dynamics of surface growth resulting from sedimentation of spherical granular particles in a fluid environment, using experiments and simulations. In the experimental part, spherical polystyrene particles…

Soft Condensed Matter · Physics 2024-01-30 Vahideh Sardari , Fatemeh Safari , Maniya Maleki

We study the vicinal surface of the restricted solid-on-solid model coupled with the Langmuir adsorbates which we regard as two-dimensional lattice gas without lateral interaction. The effect of the vapor pressure of the adsorbates in the…

Statistical Mechanics · Physics 2009-11-07 Noriko Akutsu , Yasuhiro Akutsu , Takao Yamamoto