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Abstract

The topology and dynamics of stripe-like magnetic domains obtained in a ferrimagnetic garnet subjected to a time-dependent external magnetic field is studied experimentally and theoretically. Experiments are performed on a commercially available magnetic bubble apparatus, allowing the observation of the time-evolution of the magnetic domain structure. The system is modeled by a meso-scale Ising-type lattice model. Exchange and dipolar interactions between the spins, and interaction of the spins with the external magnetic field are considered. The model is investigated by kinetic Monte Carlo simulations with time-varying transition rates. In the limit of low temperatures the elaborated model leads to a magnetic domain topology and dynamics that is similar to the ones observed in the experiments. In the highly non-equilibrium limit with a high driving frequency the model reproduces the experimentally recorded hysteresis loops as well.

M. Prieto-Depedro, I. Martin-Bragado, and J. Segurado* 4 Kinetic Monte Carlo modeling of shear-coupled motion of grain boundaries Abstract: The shear coupled motion of grain boundaries (GBs) is modeled by using two different atomistic simulation techniques: molecular dynamics (MD) and kinetic Monte Carlo (KMC). MD simulations are conducted to identify the elementary mech- anisms that take place during the coupled motion of GBs. This process is described on the one hand, in terms of the geometrical approach of the dislocation content in the boundary; and on the

INTERNATIONAL JOURNAL OF CHEMICAL REACTOR ENGINEERING Volume 3 2005 Article A63 Towards Bifurcation Detection in Kinetic Monte Carlo Simulations: Robust Identification with Artificial Neural Networks and Nonlinear Kalman Filters Carlos González-Figueredo∗ Ramiro Rico-Martı́nez† ´ ´ ∗Instituto Tecnologico de Celaya, figuered@iqcelaya.itc.mx †Instituto Tecnologico de Celaya, ramiro@itc.mx ISSN 1542-6580 Towards Bifurcation Detection in Kinetic Monte Carlo Simulations: Robust Identification with Artificial Neural Networks and Nonlinear Kalman Filters Carlos

D. Molnar, R. Mukherjee, A. Choudhury, A. Mora, P. Binkele, M. Selzer, B. Nestler, and S. Schmauder 2 Multiscale simulations on the coarsening of Cu-rich precipitates in α-Fe using kinetic Monte Carlo, Molecular Dynamics, and Phase-Field simulations Abstract: The coarsening kinetics of Cu-rich precipitates in an α-Fe matrix for ther- mally aged Fe-Cu alloys at temperatures above 700 °C is studied using a kinetic Monte Carlo (KMC) and a Phase-field method (PFM). In this work, KMC adequately captures the early stage of the systemevolutionwhich involvesnucleation

Carlo / Simulation / Electrodeposition Kinetic Monte Carlo (KMC) simulations were carried out to simulate kinetic-limited electrodeposition of a metal (M) onto an array of pre-existing metal clusters on a substrate (S) of a second conducting material. Electrochemical reaction and surface diffusion were accounted for in a KMC code which tracked deposit growth with a (2+1)-dimensional approach. Beginning with various arrangements of ten-atom metal seed clusters on a substrate platform of 300×300 fcc lattice sites, KMC simulations were carried out to investigate the

have shown that the incubation time and the rate of stable nuclei appearance are correlated. Based on the idea of LaMer and Dinegar [ 15 ], the authors of [ 20 , 4 , 6 ] further developed the model to describe a burst nucleation. However, in these studies a simplified mean field model assumed essentially interactions between the monomers supplied and the stable clusters only ignoring desorption and fragmentation. We extend this approach in this paper by constructing a kinetic Monte Carlo model combined with the thermodynamically evaluated critical size cluster, and

/ Constant Dielectric Loss / ADWP-Model / Pair Approximation / Scaling Approach / Stochastic Field Theory Interacting dipolar centers at frozen random positions are known to provide a microscopic mechanism for strong non-Debye behavior in the dielectric response. In particular, it has been shown previously by kinetic Monte Carlo simulation that nearly constant dielectric loss spectra emerge from random dipolar lattice gas models. Here we discuss analytic or semi-analytic theories that allow us to treat such complex models that involve structural randomness and

Monte Carlo Methods Appl. 17 (2011), 233–278 DOI 10.1515/MCMA.2011.011 © de Gruyter 2011 Towards automatic global error control: Computable weak error expansion for the tau-leap method Jesper Karlsson and Raúl Tempone Abstract. This work develops novel error expansions with computable leading order terms for the global weak error in the tau-leap discretization of pure jump processes arising in kinetic Monte Carlo models. Accurate computable a posteriori error approximations are the basis for adaptive algorithms, a fundamental tool for numerical simulation of both

/ Surface Growth / Island Densities / Frozen Disorder / Non-equilibrium Correlations / Perpendicular Magnetic Anisotropy Metastable nanoclusters grown on surfaces by vapour deposition or molecular beam epitaxy techniques have become an active topic in surface science because of their potential to display new physical properties useful for applications. Atomistic modelling and Kinetic Monte Carlo (KMC) simulations of these processes are reviewed with emphasis on two-component adatom systems. The situation we consider is that two types of atoms are co-deposited to the

The kinetic Monte Carlo (MC) model of nanowhisker (NW) growth is suggested. Two variants of growth are possible in the model—molecular beam epitaxy (MBE) and chemical vapor deposition (CVD). The effect of deposition conditions and growth regimes on the whisker morphology was examined within the framework of the vapor–liquid–solid (VLS) mechanism. A range of model growth conditions corresponding to NW and nanotube formation was determined. The suggested MC model was used for analyses of the morphology of the catalyst–whisker interface and for examination of Si–Ge whisker growth.