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This paper introduces a growth method---suboxide molecular-beam epitaxy (S-MBE)---which enables the growth of Ga2O3 and related materials at growth rates exceeding 1 micrometer per hours with excellent crystallinity in an…

The dynamic effects, such as the steering and the screening effects during deposition, on an epitaxial growth (Cu/Cu(001)), is studied by kinetic Monte Carlo simulation that incorporates molecular dynamic simulation to rigorously take the…

Materials Science · Physics 2016-08-31 Jikeun Seo , Hye-Young Kim , J. -S. Kim

A solid-on-solid model of epitaxial growth in 1+1 dimensions is investigated in which slope dependent upward and downward particle currents compete on the surface. The microscopic mechanisms which give rise to these currents are the…

Statistical Mechanics · Physics 2009-11-07 M. Biehl , M. Ahr , M. Kinne , W. Kinzel , S. Schinzer

In this paper, we propose a time-fractional molecular beam epitaxy (MBE) model with slope selection and its efficient, accurate, full discrete, linear numerical approximation. The numerical scheme utilizes the fast algorithm for the Caputo…

Numerical Analysis · Mathematics 2020-01-08 Lizhen Chen , Jia Zhao , Waixiang Cao , Hong Wang , Jiwei Zhang

This article reviews the basic computational techniques for carrying out multi-scale simulations using statistical methods, with the focus on simulations of epitaxial growth. First, the statistical-physics background behind Monte Carlo…

Materials Science · Physics 2009-04-17 Peter Kratzer

Growth of hard--rod monolayers via deposition is studied in a lattice model using rods with discrete orientations and in a continuum model with hard spherocylinders. The lattice model is treated with kinetic Monte Carlo simulations and…

Soft Condensed Matter · Physics 2017-04-05 M. Klopotek , H. Hansen-Goos , M. Dixit , T. Schilling , F. Schreiber , M. Oettel

We study, using noise reduction techniques, layer by layer epitaxial growth in limited mobility solid-on-solid nonequilibrium surface growth models, which have been introduced in the context of kinetic surface roughening in ideal molecular…

Statistical Mechanics · Physics 2007-05-23 P. Punyindu Chatraphorn , S. Das Sarma

The energetically driven Ehrlich-Schwoebel (ES) barrier had been generally accepted as the primary cause of the growth instability in the form of quasi-regular mound-like structures observed on the surface of thin film grown via molecular…

Materials Science · Physics 2015-05-18 Wittawat Kanjanaput , Surachate Limkumnerd , Patcha Chatraphorn

In this work, a study of epitaxial growth was carried out by means of wavelets formalism. We showed the existence of a dynamic scaling form in wavelet discriminated linear MBE equation where diffusion and noise are the dominant effects. We…

Materials Science · Physics 2009-11-13 Z. Moktadir

It has been observed experimentally that under certain conditions pulsed laser deposition (PLD) produces smoother surfaces than ordinary molecular beam epitaxy (MBE). So far the mechanism leading to the improved quality of surfaces in PLD…

Statistical Mechanics · Physics 2009-11-07 Berit Hinnemann , Haye Hinrichsen , Dietrich E. Wolf

Transition metal oxide heterostructures and interfaces host a variety of exciting quantum phases and can be grown with atomic-scale precision by utilising the intensity oscillations of $in$ $situ$ reflection high-energy electron diffraction…

Materials Science · Physics 2017-08-02 T. W. Zhang , Z. W. Mao , Z. B. Gu , Y. F. Nie , X. Q. Pan

Computer simulations and scaling theory are used to investigate the damping of oscillations during epitaxial growth on high-symmetry surfaces. The crossover from smooth to rough growth takes place after the deposition of (D/F)^\delta…

Statistical Mechanics · Physics 2007-05-23 H. Kallabis , L. Brendel , P. Smilauer , J. Krug , D. E. Wolf

Stochastic differential equations (SDEs) using jump-diffusion processes describe many natural phenomena at the microscopic level. Since they are commonly used to model economic and financial evolutions, the calibration and optimal control…

Optimization and Control · Mathematics 2025-05-08 Jan Bartsch , Alfio Borzi , Gabriele Ciaramella , Jan Reichle

This work reports on the development of a new approach to the multiscale computational modelling of the focused electron beam-induced deposition (FEBID), realised using the advanced software packages: MBN Explorer and MBN Studio. Our…

Computational Physics · Physics 2025-06-24 Ilia A. Solov'yov , Alexey Prosvetov , Gennady Sushko , Andrey V. Solov'yov

Recently, patch-deformation methods have exhibited significant effectiveness in multi-view stereo owing to the deformable and expandable patches in reconstructing textureless areas. However, such methods primarily emphasize broadening the…

Computer Vision and Pattern Recognition · Computer Science 2025-03-19 Zhenlong Yuan , Zhidong Yang , Yujun Cai , Kuangxin Wu , Mufan Liu , Dapeng Zhang , Hao Jiang , Zhaoxin Li , Zhaoqi Wang

In this paper we would like give a short review of our recent works and current investigation in modeling of solid film surfaces growth based on computer Monte Carlo simulations. We also discuss effect of some simplification in growth rules…

Condensed Matter · Physics 2016-08-31 K. Malarz

Microscopic processes on surfaces such as adsorption, desorption, diffusion and reaction of interacting particles can be simulated using kinetic Monte Carlo (kMC) algorithms. Even though kMC methods are accurate, they are computationally…

Mathematical Physics · Physics 2013-12-24 Yannis Pantazis , Markos Katsoulakis

A potent class of generative models known as Diffusion Probabilistic Models (DPMs) has become prominent. A forward diffusion process adds gradually noise to data, while a model learns to gradually denoise. Sampling from pre-trained DPMs is…

Machine Learning · Computer Science 2023-10-27 Martin Gonzalez , Nelson Fernandez , Thuy Tran , Elies Gherbi , Hatem Hajri , Nader Masmoudi

Epitaxial films evolve on time and length scales that are inaccessible to atomistic computer simulation methods like molecular dynamics (MD). To numerically predict properties for such systems, a common strategy is to employ kinetic Monte…

Materials Science · Physics 2020-04-08 William Janke , Thomas Speck

In the framework of SOS models, the dynamics of isolated and pairs of surface steps of monoatomic height is studied, for step--edge diffusion and for evaporation kinetics, using Monte Carlo techniques. In particular, various interesting…

Statistical Mechanics · Physics 2009-10-31 F. Szalma , W. Selke , S. Fischer