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Related papers: kmos: A lattice kinetic Monte Carlo framework

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This review article is intended as a practical guide for newcomers to the field of kinetic Monte Carlo (KMC) simulations, and specifically to lattice KMC simulations as prevalently used for surface and interface applications. We will…

Computational Physics · Physics 2019-04-05 Mie Andersen , Chiara Panosetti , Karsten Reuter

KMCLib is a general framework for lattice kinetic Monte Carlo (KMC) simulations. The program can handle simulations of the diffusion and reaction of millions of particles in one, two, or three dimensions, and is designed to be easily…

Computational Physics · Physics 2014-05-07 Mikael Leetmaa , Natalia V. Skorodumova

Lattice kinetic Monte Carlo simulations have become a vital tool for predictive quality atomistic understanding of complex surface chemical reaction kinetics over a wide range of reaction conditions. In order to expand their practical value…

Computational Physics · Physics 2017-03-08 Max J. Hoffmann , Felix Engelmann , Sebastian Matera

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…

Mesoscale and Nanoscale Physics · Physics 2015-01-09 Max J. Hoffmann , Matthias Scheffler , Karsten Reuter

Many materials science phenomena, such as growth and self-organisation, are dominated by activated diffusion processes and occur on timescales that are well beyond the reach of standard-molecular dynamics simulations. Kinetic Monte Carlo…

Materials Science · Physics 2009-11-13 fedwa El-Mellouhi , Normand Mousseau , Laurent J. Lewis

While lateral interaction models for reactions at surfaces have steadily gained popularity and grown in terms of complexity, their use in chemical kinetics has been impeded by the low performance of current KMC algorithms. The origins of…

Computational Physics · Physics 2019-08-12 Franziska Hess

Monte Carlo (MC) simulations of lattice models are a widely used way to compute thermodynamic properties of substitutional alloys. A limitation to their more widespread use is the difficulty of driving a MC simulation in order to obtain the…

Statistical Mechanics · Physics 2009-11-07 A. van de Walle , M. Asta

In this paper we study from a numerical analysis perspective the Fractional Step Kinetic Monte Carlo (FS-KMC) algorithms proposed in [1] for the parallel simulation of spatially distributed particle systems on a lattice. FS-KMC are…

Numerical Analysis · Mathematics 2012-08-07 Giorgos Arampatzis , Markos A. Katsoulakis , Petr Plechac

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…

Materials Science · Physics 2007-05-23 Talat S. Rahman , Abdelkader Kara , Altaf Karim , Oleg Trushin

In this paper we propose a new class of coupling methods for the sensitivity analysis of high dimensional stochastic systems and in particular for lattice Kinetic Monte Carlo. Sensitivity analysis for stochastic systems is typically based…

Numerical Analysis · Mathematics 2015-06-18 Georgios Arampatzis , Markos Katsoulakis

Atomistic rigid lattice Kinetic Monte Carlo is an efficient method for simulating nano-objects and surfaces at timescales much longer than those accessible by molecular dynamics. A laborious part of constructing any Kinetic Monte Carlo…

Kinetic Monte Carlo (KMC) is a powerful method for simulation of diffusion processes in various systems. The accuracy of the method, however, relies on the extent of details used for the parameterization of the model. Migration barriers are…

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…

Soft Condensed Matter · Physics 2015-06-24 Javier Hernandez-Rojas , David J. Wales

A brief introduction is given to Kinetic Monte Carlo (KMC) simulations of epitaxial crystal growth. Molecular Beam Epitaxy (MBE) serves as the prototype example for growth far from equilibrium. However, many of the aspects discussed hear…

Materials Science · Physics 2007-05-23 Michael Biehl

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

We report the development of a new pattern-recognition scheme for the off- lattice self-learning kinetic Monte Carlo (KMC) method that is simple and flex ible enough that it can be applied to all types of surfaces. In this scheme, to…

Materials Science · Physics 2014-04-22 Giridhar Nandipati , Abdelkader Kara , Syed Islamuddin Shah , Talat S. Rahman

We present a mathematical framework for constructing and analyzing parallel algorithms for lattice Kinetic Monte Carlo (KMC) simulations. The resulting algorithms have the capacity to simulate a wide range of spatio-temporal scales in…

Numerical Analysis · Mathematics 2015-05-28 Giorgos Arampatzis , Markos A. Katsoulakis , Petr Plechac , Michela Taufer , Lifan Xu

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.…

Computational Physics · Physics 2020-04-22 William Robert Saunders , James Grant , Eike Hermann Müller , Ian Thompson

We report developments of the kinetic Monte Carlo (KMC) method with improved accuracy and increased versatility for the description of atomic diffusivity on metal surfaces. The on-lattice constraint built into our recently proposed…

Materials Science · Physics 2008-11-27 Oleg Trushin , Handan Yildirim , Abdelkader Kara , Talat S. Rahman

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)…

Chemical Physics · Physics 2014-01-08 Tanyakarn Treeratanaphitak , Mark D. Pritzker , Nasser Mohieddin Abukhdeir
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