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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…

Statistical Mechanics · Physics 2015-06-05 K. Yu. Khromov , V. G. Vaks , I. A. Zhuravlev

We present a novel way of performing kinetic Monte Carlo simulations which does not require an {\it a priori} list of diffusion processes and their associated energetics and reaction rates. Rather, at any time during the simulation,…

Materials Science · Physics 2009-11-11 Oleg Trushin , Altaf Karim , Abdelkader Kara , Talat S. Rahman

We propose and develop a model as an attempt to describe the local mechanism of mechanical alloying. This model is based on the observation of global parameters, such as the volumes of the various phases present in the material, and their…

Materials Science · Physics 2007-05-23 Igor F. Vasconcelos , Reginaldo S. de Figueiredo

We employ kinetic Monte Carlo (KMC) simulations and a thin-film continuum model to comparatively study the transverse (i.e., Plateau-Rayleigh) instability of ridges formed by molecules on pre-patterned substrates. It is demonstrated that…

Soft Condensed Matter · Physics 2018-07-24 Walter Tewes , Oleg Buller , Andreas Heuer , Uwe Thiele , Svetlana V. Gurevich

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…

Materials Science · Physics 2016-08-31 Malliga Suewattana , Henry Krakauer , Shiwei Zhang

Spin transport and spin dynamics after femtosecond laser pulse irradiation of iron (Fe) are studied using a kinetic Monte Carlo model. This model simulates spin dependent dynamics by taking into account two interaction processes during…

Materials Science · Physics 2021-09-28 J. Briones , H. C. Schneider , B. Rethfeld

We present here a summary of some recent techniques used for atomistic studies of thin film growth and morphological evolution. Specific attention is given to a new kinetic Monte Carlo technique in which the usage of unique labeling schemes…

Materials Science · Physics 2009-11-11 Talat S. Rahman , Chandana Ghosh , Oleg Trushin , Abdelkader Kara , Altaf Karim

We present a Monte Carlo method to simulate asymmetric binary mixtures in the grand canonical ensemble. The method is used to study the colloid-polymer model of Asakura and Oosawa. We determine the phase diagram of the fluid-fluid unmixing…

Soft Condensed Matter · Physics 2007-05-23 R. L. C. Vink , J. Horbach

The kinetics of coherent Cu rich precipitation in Fe-Cu and Fe-Cu-Ni alloys during thermal ageing have been modeled by Atomic Kinetic Monte Carlo method (AKMC). The AKMC is parameterized by existing ab-inito data to treat vacancy mediated…

Materials Science · Physics 2013-01-16 Yi Wang , Huai Yu Hou , Xiang Bing Liu , Rong Shan Wang , Jing Tao Wang

In particle-based algorithms, the effect of binary collisions is commonly described in a statistical way, using Monte Carlo techniques. It is shown that, in the relativistic regime, stringent constraints should be considered on the sampling…

Plasma Physics · Physics 2009-11-13 F. Peano , M. Marti , L. O. Silva , G. Coppa

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…

Materials Science · Physics 2013-01-01 E. Martinez , C. -C. Fu , M. Levesque , M. Nastar , F. Soisson

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…

Materials Science · Physics 2007-05-23 M. Cecilia Gimenez , Mario G. Del Popolo , Ezequiel P. M. Leiva

We develop a new approach to determining LJ-EAM potentials for alloys and use these to determine the solid-liquid phase diagrams for binary metallic alloys using Kofke's Gibbs-Duhem integration technique combined with semigrand canonical…

Materials Science · Physics 2013-05-29 H. -S. Nam , M. I. Mendelev , D. J. Srolovitz

In traffic flow modeling, incorporating uncertainty is crucial for accurately capturing the complexities of real-world scenarios. In this work we focus on kinetic models of traffic flow, where a key step is to design effective numerical…

Numerical Analysis · Mathematics 2025-01-28 Elisa Iacomini , Lorenzo Pareschi

Linear kinetic Monte Carlo particle transport models are frequently employed in fusion plasma simulations to quantify atomic and surface effects on the main plasma flow dynamics. Separate codes are used for transport of neutral particles…

Plasma Physics · Physics 2015-06-03 J. Seebacher , A. Kendl

The interfacial profile between coexisting phases of a binary mixture (A,B) in a thin film of thickness D and lateral linear dimensions L depends sensitively on both linear dimensions and on the nature of boundary conditions and statistical…

Statistical Mechanics · Physics 2009-10-30 Andreas Werner , Friederike Schmid , Marcus Mueller , Kurt Binder

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

We study the thermodynamics and kinetics of folding for a small peptide. Our data rely on Monte Carlo simulations where the interactions among all atoms are taken into account. Monte Carlo kinetics is used to study folding of the peptide at…

Condensed Matter · Physics 2009-11-07 Ulrich H. E. Hansmann , Jose N. Onuchic

We propose a multilevel Monte Carlo method for a particle-based asymptotic-preserving scheme for kinetic equations. Kinetic equations model transport and collision of particles in a position-velocity phase-space. With a diffusive scaling,…

Numerical Analysis · Mathematics 2020-05-21 Emil Løvbak , Giovanni Samaey , Stefan Vandewalle

Static and dynamic structure factors and various transport coefficients are computed for a Lennard-Jones model of a binary fluid (A,B) with a symmetrical miscibility gap, varying both temperature and relative concentration of the mixture.…

Statistical Mechanics · Physics 2009-11-10 Subir K. Das , Jürgen Horbach , Kurt Binder
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