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Related papers: Phase Field Modelling of Submonolayer Epitaxial Gr…

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The incorporation of particle inertia into the usual mean field theory for particle aggregation and fragmentation in fluid flows is still an unsolved problem. We therefore suggest an alternative approach that is based on the dynamics of…

Fluid Dynamics · Physics 2011-03-08 Jens C. Zahnow , Joeran Maerz , Ulrike Feudel

Understanding the growth of organic semi-conducting molecules with shape anisotropy is of high relevance to the processing of optoelectronic devices. This work provides insight into the growth of thin films of the prototypical rodlike…

Mesoscale and Nanoscale Physics · Physics 2015-06-23 C. Frank , R. Banerjee , M. Oettel , A. Gerlach , J. Novák , G. Santoro , F. Schreiber

An ab-initio numerical study of the density-dependent, evolutionary stable dispersal strategy is presented. The simulations are based on a simple discretei generation island model with four processes: reproduction, dispersal, competition…

Populations and Evolution · Quantitative Biology 2013-01-09 Shlomit Weisman , Nadav M. Shnerb , David A. Kessler

We present a method for synthesizing large area epitaxial single-layer MoS$_2$ on the Au(111) surface in ultrahigh vacuum. Using scanning tunneling microscopy and low energy electron diffraction, the evolution of the growth is followed from…

Computer simulations are used to generate two-dimensional diffusion-limited deposits of dipoles. The structure of these deposits is analyzed by measuring some global quantities: the density of the deposit and the lateral correlation…

Statistical Mechanics · Physics 2009-11-11 M. Tasinkevych , J. M. Tavares , F. de los Santos

We present a unified model of compound semiconductor growth based on kinetic Monte Carlo simulations in tandem with new experimental results that can describe and predict the mechanisms for the formation of various types of nanostructures…

We use atomistic simulations with an empirical potential (EAM) to study the elastic effects of heteroepitaxial islands on adatom diffusion. We measure the diffusion barrier on pure stressed substrate and near a misfit island, as well as the…

Materials Science · Physics 2007-05-23 E. Somfai , L. M. Sander

A growth model and parameters obtained in our previous experimental (scanning tunneling microscopy, KMC) and theoretical (kinetic Monte Carlo simulations, KMC) studies of Ag/Si(111)-(7x7) heteroepitaxy were used to optimise growth…

Materials Science · Physics 2009-11-10 P. Kocan , P. Sobotik , I. Ostadal , M. Kotrla

We study the nucleation of GaN islands grown by plasma-assisted molecular-beam epitaxy on AlN(0001) in a Stranski-Krastanov mode. In particular, we assess the variation of their height and density as a function of GaN coverage. We show that…

Materials Science · Physics 2017-01-17 C. Adelmann , B. Daudin , R. A. Oliver , G. A. D. Briggs , R. E. Rudd

A static variational model for shape formation in heteroepitaxial crystal growth is considered. The energy functional takes into account surface energy, elastic misfit-energy and nucleation energy of dislocations. A scaling law for the…

Analysis of PDEs · Mathematics 2024-03-21 Lukas Abel , Janusz Ginster , Barbara Zwicknagl

We study scaling properties of stochastic aggregation processes in one dimension. Numerical simulations for both diffusive and ballistic transport show that the mass distribution is characterized by two independent nontrivial exponents…

Statistical Mechanics · Physics 2007-05-23 E. Ben-Naim , P. L. Krapivsky

We use visibility graphs as a tool to analyse the results of kinetic Monte Carlo (kMC) simulations of submonolayer deposition in a one-dimensional point island model. We introduce an efficient algorithm for the computation of the visibility…

Mesoscale and Nanoscale Physics · Physics 2019-07-24 Damien Allen , Michael Grinfeld , Paul Mulheran

A series of simulations aimed at elucidating the self-assembly dynamics of spherical virus capsids is described. This little-understood phenomenon is a fascinating example of the complex processes that occur in the simplest of organisms.…

Soft Condensed Matter · Physics 2015-05-19 D. C. Rapaport

Resonances driven by the error field multipoles in the magnets often show themselves as islands in phase plots of the particle motion. In order to be able to measure the strength of the island resonance, and then to correct it, it is…

Accelerator Physics · Physics 2007-05-23 G. Parzen

In the framework of the second-quantization representation of the master equation governing the irreversible epitaxial growth, exact equations describing the evolution of the island densities has been obtained. Their decoupling within a…

Statistical Mechanics · Physics 2015-06-15 V. I. Tokar , H. Dreyssé

The decay of hexagonal Ag adatom islands on top of larger Ag adatom islands on a Ag(111) surface is followed by a fast scanning tunneling microscope. Islands do not always show the expected increase in decay rate with decreasing island…

Other Condensed Matter · Physics 2009-11-11 Karina Morgenstern , Erik Lae gsgaard , Flemming Besenbacher

Confluent cell monolayers and epithelia tissues show remarkable patterns and correlations in structural arrangements and actively-driven collective flows. We simulate these properties using multiphase field models. The models are based on…

Soft Condensed Matter · Physics 2021-12-08 Dennis Wenzel , Axel Voigt

In recent years, there has been considerable interest in understanding the motion in Hamiltonian systems when phase space is divided into stochastic and integrable regions. This paper studies one aspect of this problem, namely, the motion…

Chaotic Dynamics · Physics 2007-05-23 Charles F. F. Karney

The multi-scale interaction of self-consistently driven magnetic islands with electromagnetic turbulence is studied within the three dimensional, toroidal gyro-kinetic framework. It can be seen that, even in the presence of electromagnetic…

A basic kinetic model that incorporates a coupled dynamics of the carbon atoms and dimers on a copper surface is used to compute growth of a single-layer graphene island. The speed of the island's edge advancement on Cu[111] and Cu[100]…

Materials Science · Physics 2016-07-06 Mikhail Khenner