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First-principles molecular dynamics simulations have been employed to analyze the proton diffusion in cubic BaZrO3 perovskite at 1300K, and a non-linear effect of an applied isometric strain of 2% on the lattice parameter has been observed.…

Materials Science · Physics 2020-07-30 Marco Fronzi , Yoshitaka Tateyama , Nicola Marzari , Enrico Traversa

To simulate the transient enhanced diffusion near the surface or interface, a set of equations describing the impurity diffusion and quasichemical reactions of dopant atoms and point defects in ion-implanted layers is proposed and analyzed.…

Materials Science · Physics 2007-05-23 O. I. Velichko , Yu. P. Shaman , A. K. Fedotov , A. V. Masanik

Simulating long-term mass diffusion kinetics with atomic precision is important to predict chemical and mechanical properties of alloys over time scales of engineering interest in applications, including (but not limited to) alloy heat…

Materials Science · Physics 2025-06-25 Shashank Saxena , Prateek Gupta , Dennis M. Kochmann

We describe acceleration of the front propagation for solutions to a class of monostable nonlinear equations with a nonlocal diffusion in $\mathbb{R}^d$, $d\geq1$. We show that the acceleration takes place if either the diffusion kernel or…

Analysis of PDEs · Mathematics 2018-06-07 Dmitri Finkelshtein , Yuri Kondratiev , Pasha Tkachov

We evaluate charge diffusion constant of dense and hot hadronic matter based on the molecular dynamical method by using a hadronic collision generator which describes nuclear collisions at energies 10 < E < 100 GeV/A and satisfies detailed…

High Energy Physics - Phenomenology · Physics 2010-12-17 N. Sasaki , O. Miyamura , S. Muroya , C. Nonaka

Enhanced diffusion, which describes the accelerated spread of passive scalars due to the interaction between advection and molecular diffusion, has been extensively studied in simplified geometries, such as uniform shear and radial flows.…

Analysis of PDEs · Mathematics 2024-11-04 Rômulo Damasclin Chaves dos Santos , Jorge Henrique de Oliveira Sales

We study the bonding and diffusion of Au in graphene vacancies using density-functional theory. Energetics show that Au adsorbs preferably to double vacancies, steadily in-plane with graphene. All diffusion barriers for the complex of Au in…

Materials Science · Physics 2009-02-16 S. Malola , H. Häkkinen , P. Koskinen

A continuum grain boundary model is developed that uses experimentally measured grain boundary energy data as a function of misorientation to simulate idealized grain boundary evolution in a 1-D grain array. The model uses a continuum…

Materials Science · Physics 2024-01-29 Syed Ansari , Amit Acharya , Alankar Alankar

We propose a computational procedure for creating a stable equilibrium triple junction (TJ) with controlled grain misorientations. We apply this procedure to construct a TJ between a {\Sigma}5(210) grain boundary (GB) and two general…

Materials Science · Physics 2013-05-03 Timofey Frolov , Yuri Mishin

Atomic-scale simulations are performed to study the effect of solute segregation on the shear-induced motion of select grain boundaries in the classical $\alpha$-Fe/C system. At shear rates larger than the solute diffusion rate, we observe…

Materials Science · Physics 2013-08-27 Changjian Wang , Moneesh Upmanyu

The radiation (reaction, Robin) boundary condition for the continuum diffusion equation is widely used in chemical and biological applications to express reactive boundaries. The underlying trajectories of the diffusing particles are…

Mathematical Physics · Physics 2007-09-02 A. Singer , Z. Schuss , D. Holcman

Dopants can significantly affect the properties of oxide ceramics through their impact on the property-determined microstructure characteristics such as grain boundary (GB) segregation, space charge layer formation in the GB vicinity, and…

Local chemical ordering strongly influences the behavior of complex concentrated alloys, yet its characterization remains challenging due to the nanoscale dimensions and scattered spatial distribution of the ordered domains. Here, we study…

Materials Science · Physics 2026-02-10 Ian Geiger , Yuan Tian , Ying Han , Yutong Bi , Xiaoqing Pan , Penghui Cao , Timothy J. Rupert

(abridged) We aim to predict the most important parameters for grain-grain collision outcomes for models of interstellar grain population evolution on astrophysical scales: the threshold velocity above which colliding grains shatter, the…

We consider here a model of accelerating fronts, introduced in [2], consisting of one equation with nonlocal diffusion on a line, coupled via the boundary condition with a reaction-diffusion equation of the Fisher-KPP type in the upper…

Analysis of PDEs · Mathematics 2019-11-11 Anne-Charline Chalmin , Jean-Michel Roquejoffre

We present an analytical study of the time dependent diffusion coefficient in a dilute suspension of spheres with partially absorbing boundary condition. Following Kirkpatrick (J. Chem. Phys. 76, 4255) we obtain a perturbative expansion for…

Statistical Mechanics · Physics 2012-10-29 Jiang Qian , Pabitra N. Sen

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

We report on atomic-scale analyses of oxygen distribution and segregation at grain boundaries (GBs) of Nb and Ta-encapsulated Nb (Ta/Nb) thin films for superconducting qubits using atom-probe tomography (APT) and transmission electron…

We propose that the transverse momentum ($p_T$) differential splitting of directed flow ($\Delta v_1$) between proton and anti-proton can serve as a sensitive observable to extract the baryon diffusion coefficient ($\kappa_B$) of the hot…

Nuclear Theory · Physics 2023-05-18 Tribhuban Parida , Sandeep Chatterjee

We present a theoretical study of the interaction of vacancies with a tilt grain boundary in aluminum based on the density functional theory. The grain boundary volume expansion and vacancy induced contraction are calculated and compared…

Materials Science · Physics 2009-11-07 Gang Lu , Nicholas Kioussis