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Metallic nanoparticles, liquefied by fast laser irradiation, go through a rapid change of shape attempting to minimize their surface energy. The resulting nanodrops may be ejected from the substrate when the mechanisms leading to dewetting…

Fluid Dynamics · Physics 2013-07-18 S. Afkhami , L. Kondic

Defects in laser powder bed fusion (L-PBF) parts often result from the meso-scale dynamics of the molten alloy near the laser, known as the melt pool. For instance, the melt pool can directly contribute to the formation of undesirable…

An experimental study is presented to characterize the ripple formations in the directed energy deposition (DED) process and study the influence of the ripples on the heterogenous microstructure in the scan direction of a DED-printed 316L…

Applied Physics · Physics 2022-05-17 Himanshu Balhara , Bhaskar Botcha , Sarah Wolff , Satish Bukkapatnam

Diffusion models have demonstrated exceptional performances in various fields of generative modeling, but suffer from slow sampling speed due to their iterative nature. While this issue is being addressed in continuous domains, discrete…

Machine Learning · Computer Science 2025-05-12 Satoshi Hayakawa , Yuhta Takida , Masaaki Imaizumi , Hiromi Wakaki , Yuki Mitsufuji

Systems of reaction-diffusion partial differential equations (RD-PDEs) are widely applied for modelling life science and physico-chemical phenomena. In particular, the coupling between diffusion and nonlinear kinetics can lead to the…

Numerical Analysis · Mathematics 2019-03-13 Maria Chiara D'Autilia , Ivonne Sgura , Valeria Simoncini

A laser focussed onto a semiconductor film can create a disordered lamellae pattern of coexisting molten-solid regions. We present a continuum model based on the higher reflectivity of the molten regions. For large latent heat, this model…

Condensed Matter · Physics 2009-10-22 Chuck Yeung , Rashmi Desai

Dynamical systems theory provides powerful methods to extract effective macroscopic dynamics from complex systems with slow modes and fast modes. Here we derive and theoretically support a macroscopic, spatially discrete, model for a class…

Analysis of PDEs · Mathematics 2010-03-12 Wei Wang , A. J. Roberts

The physical mechanisms of the laser-induced periodic surface structures (LIPSS) formation are studied in this paper for single-pulse irradiation regimes. The change in the LIPSS period with wavelength of incident laser radiation is…

Mesoscale and Nanoscale Physics · Physics 2017-09-12 Stella Maragkaki , Thibault J. -Y. Derrien , Yoann Levy , Nadezhda M. Bulgakova , Andreas Ostendorf , Evgeny L. Gurevich

When a finite volume of etching solution is in contact with a disordered solid, complex dynamics of the solid-solution interface develop. If the etchant is consumed in the chemical reaction, the dynamics stop spontaneously on a self-similar…

Statistical Mechanics · Physics 2009-10-31 A. Gabrielli , A. Baldassarri , B. Sapoval

In this paper we present a high-order kernel method for numerically solving diffusion and reaction-diffusion partial differential equations (PDEs) on smooth, closed surfaces embedded in $\mathbb{R}^d$. For two-dimensional surfaces embedded…

Numerical Analysis · Mathematics 2012-06-04 Edward J. Fuselier , Grady B. Wright

We study the onset and development of ledge instabilities during growth of vicinal metal surfaces using kinetic Monte Carlo simulations. We observe the formation of periodic patterns at [110] close packed step edges on surfaces vicinal to…

Condensed Matter · Physics 2009-11-07 M. Rusanen , I. T. Koponen , J. Heinonen , T. Ala-Nissila

This work presents a microscale approach for simulating the dielectrophoresis (DEP) assembly of polarizable particles under an external electric field. The model is shown to capture interesting dynamical and topological features, such as…

Recently-demonstrated high-quality three-dimensional (3D) subsurface laser processing inside crystalline silicon (c-Si) wafers opens a door to a wide range of novel applications in multidisciplinary research areas. Using this technique, a…

A 1-d Ising model is shown to reproduce qualitatively the dynamics of ripple formation. Saltation effect is imposed using a Kawasaki dynamics and a pair interaction over some distance l. Within this model, the ripple state turns out to be…

Disordered Systems and Neural Networks · Physics 2007-05-23 Nicolas Vandewalle , Serge Galam

We predict ultrafast modulation of the pure molten metal surface stress fields under the irradiation of the single femtosecond laser pulse through the two-temperature model molecular-dynamics simulations. High-resolution and precision…

Materials Science · Physics 2022-07-13 Chenhao Li , Hongtao Liang , Yang Yang , Zhiyong Yu , Xin Zhang , Xiangming Ma , Wenliang Lu , Zhenrong Sun , Ya Cheng

In this work we report on kinetic Monte-Carlo calculations of resistive switching and the underlying growth dynamics of filaments in an electrochemical metallization device consisting of an Ag/TiO2/Pt sandwich-like thin film system. The…

An off-lattice, continuous space Kinetic Monte Carlo (KMC) algorithm is discussed and applied in the investigation of strained heteroepitaxial crystal growth. As a starting point, we study a simplifying (1+1)-dimensional situation with…

Statistical Mechanics · Physics 2007-05-23 Michael Biehl , Florian Much , Christian Vey

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

We introduce a simple and efficient model to describe the potential energy surface of lithium diffusing in a solid-state ionic conductor. First, we assume that the Li atoms are fully ionized and we neglect the weak dependence of the…

Materials Science · Physics 2019-02-07 Leonid Kahle , Aris Marcolongo , Nicola Marzari

We perform a series of smoothed particle hydrodynamics simulations of isolated dwarf galaxies to compare different metal mixing models. In particular, we examine the role of diffusion in the production of enriched outflows, and in…

Astrophysics of Galaxies · Physics 2016-05-25 David John Williamson , Hugo Martel , Daisuke Kawata