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Solid-solid phase boundary anisotropy is a key factor controlling the selection and evolution of non-faceted eutectic patterns during directional solidification. This is most remarkably observed during the so-called maze-to-lamellar…

Materials Science · Physics 2019-02-07 Ulrike Hecht , Janin Eiken , Silvère Akamatsu , Sabine Bottin-Rousseau

We study the low-temperature regime of an atomic liquid on the hyperbolic plane by means of molecular dynamics simulation and we compare the results to a continuum theory of defects in a negatively curved hexagonal background. In agreement…

Statistical Mechanics · Physics 2010-03-17 François Sausset , Gilles Tarjus , David R. Nelson

Grain boundary structural transitions can lead to significant changes in the properties and performance of materials. In multi-principal element alloys, understanding these transitions becomes complex due to phenomena such as local chemical…

Materials Science · Physics 2024-03-13 Ian Geiger , Diran Apelian , Xiaoqing Pan , Penghui Cao , Jian Luo , Timothy J. Rupert

In order to address the growth of crystals in veins, a multiphase-field model is used to capture the dynamics of crystals precipitating from a super-saturated solution. To gain a detailed understanding of the polycrystal growth phenomena in…

Geophysics · Physics 2013-10-21 Kumar Ankit , Britta Nestler , Michael Selzer , Mathias Reichardt

The solidification of metallic droplets into powder particles involves a complex interplay between heat diffusion, surface tension, and geometric constraints. In confined, curved systems -- such as those encountered in atomisation,…

Materials Science · Physics 2026-01-13 Priti Ranjan Panda , Harish Singh Dhami , Koushik Viswanathan

Although the anisotropy of the solid-liquid interfacial free energy for most alloy systems is very small, it plays a crucial role in the growth rate, morphology and crystallographic growth direction of dendrites. Previous work posited a…

Materials Science · Physics 2019-12-19 Lei Wang , Jeff Hoyt , Nan Wang , Nikolas Provatas , Chad W. Sinclair

We study diffusion processes that are stopped or reflected on the boundary of a domain. The generator of the process is assumed to contain two parts: the main part that degenerates on the boundary in a direction orthogonal to the boundary…

Analysis of PDEs · Mathematics 2023-04-11 Mark Freidlin , Leonid Koralov

We describe the resulting spatiotemporal dynamics when a homogeneous equilibrium loses stability in a spatially extended system. More precisely, we consider reaction-diffusion systems, assuming only that the reaction kinetics undergo a…

Analysis of PDEs · Mathematics 2023-10-23 Montie Avery

Grain boundaries in epitaxial graphene on the SiC(000$\bar{1}$) substrate are studied using scanning tunneling microscopy and spectroscopy. All investigated small-angle grain boundaries show pronounced out-of-plane buckling induced by the…

In the boundary layer of multicomponent fluid mixtures, the species-specific mass flux in the wall-normal direction is determined by the combination of turbulent-diffusiophoretic diffusion due to composition gradients, and diffusion due to…

Fluid Dynamics · Physics 2018-08-10 Sverre G. Johnsen

Through an integrated macroscale/mesoscale computational model, we investigate the developing shape and grain morphology during the melting and solidification of a weld. In addition to macroscale surface tension driven fluid flow and heat…

Using a recently developed continuum theory of dislocation dynamics, we derive three new predictions about plasticity and grain boundary formation in crystals. (1) There will be a residual stress jump across grain boundaries and…

Disordered Systems and Neural Networks · Physics 2007-05-23 Surachate Limkumnerd James P. Sethna

Grain boundaries often exhibit ordered atomic structures. Increasing amounts of evidence have been provided by transmission electron microscopy and atomistic computer simulations that different stable and metastable grain boundary…

Materials Science · Physics 2023-02-14 Tobias Brink , Lena Langenohl , Hanna Bishara , Gerhard Dehm

We consider planar traveling fronts between stable steady states in two-component singularly perturbed reaction-diffusion-advection equations, where a small quantity $\delta^2$ represents the ratio of diffusion coefficients. The fronts…

Analysis of PDEs · Mathematics 2023-10-24 Paul Carter

The improvements of the knowledge of the seismic structure of the inner core and the complexities thereby revealed ask for a dynamical origin. Sub-solidus convection was one of the early suggestions to explain the seismic anisotropy, but it…

Geophysics · Physics 2014-08-12 Stéphane Labrosse

Segregation-induced structural transitions in metallic grain boundaries are studied with hybrid atomistic Monte Carlo/molecular dynamics simulations using Cu-Zr as a model system, with a specific emphasis on understanding the effect of…

Materials Science · Physics 2016-04-27 Zhiliang Pan , Timothy J. Rupert

Phase transformations in metallic grain boundaries (GBs) present significant fundamental interest in the context of thermodynamics of low-dimensional physical systems. We report on atomistic computer simulations of the Cu-Ag system that…

Materials Science · Physics 2015-07-01 Timofey Frolov , Mark Asta , Yuri Mishin

Interfaces between lamellar and disordered phases, and grain boundaries within lamellar phases, are investigated employing a simple Landau free energy functional. The former are examined using analytic, approximate methods in the weak…

Soft Condensed Matter · Physics 2015-06-25 Simon Villain-Guillot , Roland R. Netz , David Andelman , Michael Schick

We develop an irreversible thermodynamics framework for the description of creep deformation in crystalline solids by mechanisms that involve vacancy diffusion and lattice site generation and annihilation. The material undergoing the creep…

Materials Science · Physics 2015-06-16 Y. Mishin , J. A. Warren , R. F. Sekerka , W. J. Boettinger

The kinetics of dislocations is studied with computer simulation at loadings of different intensity. It is established that the dislocations have a few different structural states. The dislocations "with the micropore" play important role…

Materials Science · Physics 2007-05-23 L. S. Metlov
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