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We show that the Turing patterns in reaction systems with subdiffusion can be replicated in an effective system with Markovian cross-diffusion. The effective system has the same Turing instability as the original system, and the same…

Pattern Formation and Solitons · Physics 2020-01-29 Joseph W. Baron , Tobias Galla

Major drawback of studying diffusion in multi-component systems is the lack of suitable techniques to estimate the diffusion parameters. In this study, a generalized treatment to determine the intrinsic diffusion coefficients in…

Materials Science · Physics 2022-08-23 Sangeeta Santra , Aloke Paul

In 2006, a novel cobalt-based superalloy was discovered [1] with mechanical properties better than some conventional nickel-based superalloys. As with conventional superalloys, its high performance arises from the precipitate-hardening…

The early stage of the reactive interdiffusion in the Cu-Al system was investigated at 350 {\textdegree}C and 300 {\textdegree}C thanks to in-situ transmission electron microscopy. A special care was given to find conditions where the…

Materials Science · Physics 2020-05-08 F. Moisy , X. Sauvage , E. Hug

Intergranular attack of alloys under hydrothermal conditions is a complex problem that depends on metal and oxygen transport kinetics via solid-state and channel-like pathways to an advancing oxidation front. Experiments reveal very…

Chemical Physics · Physics 2018-09-03 Zhijie Xu , Dongsheng Li , Daniel K. Schreiber , Kevin M. Rosso , Stephen M. Bruemmer

GaN nanowires (NWs) grown by molecular beam epitaxy on Ti films sputtered on Al$_{2}$O$_{3}$ are studied by X-ray diffraction (XRD) and grazing incidence small-angle X-ray scattering (GISAXS). XRD, performed both in symmetric Bragg…

In this comprehensive and detailed study, vacancy-mediated self-diffusion of A- and B-elements in 'triple-defect' B2-ordered ASB(1-S) binaries is simulated by means of a kinetic Monte Carlo (KMC) algorithm involving atomic jumps to…

Materials Science · Physics 2019-10-16 Jan Betlej , Piotr Sowa , Rafal Kozubski , Graeme E. Murch , Irina V. Belova

We discuss the dependence of self- and interdiffusion coefficients on temperature and composition for two prototypical binary metallic melts, Al-Ni and Zr-Ni, in molecular-dynamics (MD) computer simulations and the mode-coupling theory of…

Materials Science · Physics 2014-08-12 P. Kuhn , J. Horbach , F. Kargl , A. Meyer , Th. Voigtmann

By combining ab-initio electron theory and statistical mechanics, the physical properties of the ternary intermetallic system Ni-Fe-Al in the ground state and at finite temperatures were investigated. The Ni-Fe-Al system is not only of high…

Materials Science · Physics 2007-05-23 Frank Lechermann , Manfred Faehnle , Juan M. Sanchez

The Nabarro-Herring (N-H) diffusional creep theory postulates the vacancy-mediated transport of atoms under a stress gradient as the creep mechanism under low-stress and high-temperature conditions. In multicomponent alloys, we premise that…

Materials Science · Physics 2024-08-15 Shehab Shousha , Sourabh Bhagwan Kadambi , Benjamin Beeler , Boopathy Kombaiah

Grain boundary engineering via dopant segregation can dramatically change the properties of a material. For metallic systems, most current studies concerning interfacial segregation and subsequent transitions of grain boundary structure are…

Materials Science · Physics 2018-12-26 Yang Hu , Timothy J. Rupert

We present the results of a systematic study using the density functional theory (within the local density approximation) of the effects of biaxial strain and composition on the self-diffusion of Si and Ge in SiGe alloys diffusing by a…

Materials Science · Physics 2009-11-07 Panchapakesan Ramanarayanan , Kyeongjae Cho , Bruce M. Clemens

This paper presents a diffusion experimental study for ternary lysozyme-Na$_2$SO$_4$-water system, from moderate precipitant concentrations into the supersaturated region and provides a complete set of four diffusion coefficients. These…

Chemical Physics · Physics 2007-05-23 D. Buzatu , E. Petrescu , F. D. Buzatu , J. G. Albright

Atomistic computer simulations are applied to investigate the atomic structure, thermal stability, and diffusion processes in Al-Si interphase boundaries as a prototype of metal-ceramic interfaces in composite materials. Some of the most…

Materials Science · Physics 2023-08-24 Ian Chesser , Raj Koju , Akshay Vellore , Yuri Mishin

In this paper the Turing pattern formation mechanism of a two component reaction-diffusion system modeling the Schnakenberg chemical reaction coupled to linear cross-diffusion terms is studied. The linear cross-diffusion terms favors the…

Pattern Formation and Solitons · Physics 2017-05-08 G. Gambino , S. Lupo , M. Sammartino

The diffusion-controlled growth and microstructural evolution at the interface of aluminide coatings and different substrates such as Ni-base superalloys and steel are reviewed. Quantitative diffusion analysis indicates that the diffusion…

Materials Science · Physics 2017-11-15 Aloke Paul

The solid state interdiffusion in refractory metals and single crystal Si are studied in details by diffusion couple technique. The wide range of application and importance of silicides in various devices are the motivation for these…

Materials Science · Physics 2018-05-29 Soumitra Roy

Advanced diffusion models (DMs) perform impressively in image super-resolution (SR), but the high memory and computational costs hinder their deployment. Binarization, an ultra-compression algorithm, offers the potential for effectively…

Computer Vision and Pattern Recognition · Computer Science 2024-11-01 Zheng Chen , Haotong Qin , Yong Guo , Xiongfei Su , Xin Yuan , Linghe Kong , Yulun Zhang

Herein, we compare the thermal vibrations of atoms in select ternary carbides with the formula Mn+1AXn ("MAX phases," M = Ti, Cr; A = Al, Si, Ge; X = C, N) as determined from first principles phonon calculations to those obtained from…

Materials Science · Physics 2015-06-11 Nina J. Lane , Sven C. Vogel , Gilles Hug , Atsushi Togo , Laurent Chaput , Lars Hultman , Michel W. Barsoum

Diffusion models have emerged as powerful generative frameworks with widespread applications across machine learning and artificial intelligence systems. While current research has predominantly focused on linear diffusions, these…

Machine Learning · Statistics 2025-10-06 Kulunu Dharmakeerthi , Yousef El-Laham , Henry H. Wong , Vamsi K. Potluru , Changhong He , Taosong He