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A kinetic Monte Carlo (KMC) method is presented to simulate the electrodeposition of a metal on a single crystal surface of the same metal under galvanostatic conditions. This method utilizes the multi-body embedded-atom method (EAM)…

Structural and kinetic aspects of 2-D irreversible metal deposition under potentiostatic conditions are analyzed by means of dynamic Monte Carlo simulations employing embedded atom potentials for a model system. Three limiting models, all…

材料科学 · 物理学 2007-05-23 M. Cecilia Gimenez , Mario G. Del Popolo , Ezequiel P. M. Leiva

Computer modeling of multicellular systems has been a valuable tool for interpreting and guiding in vitro experiments relevant to embryonic morphogenesis, tumor growth, angiogenesis and, lately, structure formation following the printing of…

生物物理 · 物理学 2015-05-28 Elijah Flenner , Lorant Janosi , Bogdan Barz , Adrian Neagu , Gabor Forgacs , Ioan Kosztin

The growth rates and chemical ordering of ferroelectric alloys are studied with kinetic Monte Carlo (KMC) simulations using an electrostatic model with long-range Coulomb interactions, as a function of temperature, chemical composition, and…

材料科学 · 物理学 2016-08-31 Malliga Suewattana , Henry Krakauer , Shiwei 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…

材料科学 · 物理学 2009-04-17 Peter Kratzer

The Kinetic Monte Carlo (KMC) method has become an important tool for examination of phenomena like surface diffusion and thin film growth because of its ability to carry out simulations for time scales that are relevant to experiments. But…

材料科学 · 物理学 2007-05-23 Talat S. Rahman , Abdelkader Kara , Altaf Karim , Oleg Trushin

We present a multi-lattice kinetic Monte Carlo (kMC) approach that efficiently describes the atomistic dynamics of morphological transitions between commensurate structures at crystal surfaces. As an example we study the reduction of a…

介观与纳米尺度物理 · 物理学 2015-01-09 Max J. Hoffmann , Matthias Scheffler , Karsten Reuter

The earlier-developed ab initio model and the kinetic Monte Carlo method (KMCM) are used to simulate precipitation in a number of iron-copper alloys with different copper concentrations x and temperatures T. The same simulations are also…

统计力学 · 物理学 2015-06-05 K. Yu. Khromov , V. G. Vaks , I. A. Zhuravlev

In this work, we develop an atomistic, graph-based kinetic Monte Carlo (KMC) simulation routine to predict crystal morphology. Within this routine, we encode the state of the supercell in a binary occupation vector and the topology of the…

A kinetic Monte Carlo (KMC) method is used to study the structural properties and dynamics of a supercooled binary Lennard-Jones liquid around the glass transition temperature. This technique permits us to explore the potential energy…

软凝聚态物质 · 物理学 2015-06-24 Javier Hernandez-Rojas , David J. Wales

The decomposition of Fe-Cr solid solutions during thermal aging is modeled by Atomistic Kinetic Monte Carlo (AKMC) simulations, using a rigid lattice approximation with composition dependant pair interactions that can reproduce the change…

材料科学 · 物理学 2013-01-01 E. Martinez , C. -C. Fu , M. Levesque , M. Nastar , F. Soisson

Detailed KMC-MD (kinetic Monte Carlo-molecular dynamics) simulations of hyperthermal energy (10-100 eV) copper homoepitaxy have revealed a re-entrant layer-by-layer growth mode at low temperatures (50K) and reasonable fluxes (1 ML/s). This…

材料科学 · 物理学 2007-05-23 J. M. Pomeroy , J. Jacobsen , C. C. Hill , B. H. Cooper , J. P. Sethna

A hybrid Monte Carlo (HMC) approach is employed to quantify the influence of inelastic deformation on the microstructural evolution of polycrystalline materials. This approach couples a time explicit material point method (MPM) for…

材料科学 · 物理学 2015-05-19 Liangzhe Zhang , Remi Dingreville , Timothy Bartel , Mark T. Lusk

Kinetic Monte Carlo (KMC) is an important computational tool in physics and chemistry. In contrast to standard Monte Carlo, KMC permits the description of time dependent dynamical processes and is not restricted to systems in equilibrium.…

计算物理 · 物理学 2020-04-22 William Robert Saunders , James Grant , Eike Hermann Müller , Ian Thompson

In plasma edge simulations, kinetic Monte Carlo (MC) is often used to simulate neutral particles and estimate source terms. For large-sized reactors, like ITER and DEMO, high particle collision rates lead to a substantial computational cost…

计算工程、金融与科学 · 计算机科学 2025-09-16 Zhirui Tang , Emil Løvbak , Julian Koellermeier , Giovanni Samaey

In plasma edge simulations, the behavior of neutral particles is often described by a Boltzmann--BGK equation. Solving this kinetic equation and estimating the moments of its solution are essential tasks, typically carried out using Monte…

数值分析 · 数学 2025-12-30 Zhirui Tang , Julian Koellermeier , Emil Løvbak , Giovanni Samaey

To better understand the capture process by a nanopore, we introduce an efficient Kinetic Monte Carlo (KMC) algorithm that can simulate long times and large system sizes by mapping the dynamic of a point-like particle in a 3D spherically…

生物物理 · 物理学 2021-03-22 Le Qiao , Maxime Ignacio , Gary W. Slater

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…

数学物理 · 物理学 2013-12-24 Yannis Pantazis , Markos Katsoulakis

Quantum Monte Carlo (QMC) methods such as Variational Monte Carlo, Diffusion Monte Carlo or Path Integral Monte Carlo are the most accurate and general methods for computing total electronic energies. We will review methods we have…

计算物理 · 物理学 2007-05-23 David Ceperley , Mark Dewing , Carlo Pierleoni

The shape evolution of two-dimensional islands under electromigration-driven periphery diffusion is studied by kinetic Monte Carlo (KMC) simulations and continuum theory. The energetics of the KMC model is adapted to the Cu(100) surface,…

材料科学 · 物理学 2015-06-25 Marko Rusanen , Philipp Kuhn , Joachim Krug
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