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We study the effect of an externally imposed oscillatory shear on the motion of a grain boundary that separates differently oriented domains of the lamellar phase of a diblock copolymer. A direct numerical solution of the Swift-Hohenberg…

Soft Condensed Matter · Physics 2009-11-10 Zhi-Feng Huang , Jorge Vinals

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

We studied the effect of recrystallization and grain growth on grain boundary self-diffusion in ultrafine grained Ni prepared by high pressure torsion. Two Ni materials of low (99.6 wt. %) and high (99.99 wt. %) purity levels were compared…

Materials Science · Physics 2013-12-12 Daria Prokoshkina , Leonid Klinger , Anna Moros , Gerhard Wilde , Eugen Rabkin , Sergiy V. Divinski

A new approach to the modeling of nonfree particle diffusion is presented. The approach uses a general setup based on geometric graphs (networks of curves), which means that particle diffusion in anything from arrays of barriers and pore…

Statistical Mechanics · Physics 2018-04-05 Niels Buhl

We modify a theory of flow stress introduced in [arXiv:1803.08247[cond-mat.mtrl-sci]], [arXiv:1809.03628[cond-mat.mes-hall]], [arXiv:1908.09338[cond-mat.mtrl-sci]] for a class of polycrystalline materials with equilibrium and…

Materials Science · Physics 2023-09-18 Alexander A. Reshetnyak , Varvara V. Shamshutdinova

In this paper we develop a model to describe the diffusion process in a porous medium. For the observed decrease in current yield, we propose other causes than difference in diffusivity, which we consider unaltered by the porous medium. The…

Chemical Physics · Physics 2012-05-10 P. C. T. DÁjello , G. L. Nunes , J. J. Piacentini , L. Lauck

The evolution of two grains, which lie on a substrate and are in contact with each other, can be roughly described by a model in which the exterior surfaces of the grains evolve by surface diffusion and the grain boundary, namely the…

Analysis of PDEs · Mathematics 2022-07-08 Katrine Golubkov , Amy Novick-Cohen , Yotam Vaknin

In established theories of grain coarsening, grains disappear either by shrinking or by rotating as a rigid object to coalesce with an adjacent grain. Here we report a third mechanism for grain coarsening, in which a grain splits apart into…

We present general results on fluctuations and spatial correlations of the coarse-grained empirical density and current of Markovian diffusion in equilibrium or non-equilibrium steady states on all time scales. We unravel a deep connection…

Statistical Mechanics · Physics 2023-04-06 Cai Dieball , Aljaž Godec

A numerical investigation of grain-boundary grooving by means of a Level Set method is carried out. An idealized polygranular interconnect which consists of grains separated by parallel grain boundaries aligned normal to the average…

Materials Science · Physics 2009-10-31 M. Khenner , A. Averbuch , M. Israeli , M. Nathan

We study grain boundaries between striped phases in the prototypical Swift-Hohenberg equation. We propose an analytical and numerical far-field-core decomposition that allows us to study existence and bifurcations of grain boundaries…

Pattern Formation and Solitons · Physics 2016-09-05 David J. B. Lloyd , Arnd Scheel

A model for ionic and electronic grain boundary transport through thin films, scales or membranes with columnar grain structure is introduced. The grain structure is idealized as a lattice of identical hexagonal cells - a honeycomb pattern.…

Materials Science · Physics 2017-05-05 M. P. Tautschnig , N. M. Harrison , M. W. Finnis

We study the crystallization of a colloidal model system in presence of secondary nanoparticles acting as impurities. Using confocal microscopy, we show that the nanoparticles segregate in the grain boundaries of the colloidal polycrystal.…

Soft Condensed Matter · Physics 2012-05-25 Neda Ghofraniha , Elisa Tamborini , Julian Oberdisse , Luca Cipelletti , Laurence Ramos

We study how low-energy charge carriers scatter off periodic and linear graphene grain boundaries oriented along the zigzag direction with a periodicity three times greater than that of pristine graphene. These defects map the two Dirac…

Mesoscale and Nanoscale Physics · Physics 2016-10-25 J. N. B. Rodrigues

We present a phase field model of solidification which includes the effects of the crystalline orientation in the solid phase. This model describes grain boundaries as well as solid-liquid boundaries within a unified framework. With an…

Materials Science · Physics 2009-11-07 Alexander E. Lobkovsky , James A. Warren

Grain structure plays a key role in the mechanical properties of alloy materials. Engineering the grain structure requires a comprehensive understanding of the evolution of grain boundaries (GBs) when a material is subjected to various…

Materials Science · Physics 2021-10-26 Junyan He , Nikhil Chandra Admal

Grain boundary (GB) energy is a fundamental property that affects the form of grain boundary and plays an important role to unveil the behavior of polycrystalline materials. With a better understanding of grain boundary energy distribution…

Computational Physics · Physics 2020-02-04 Haoyu Wang , Srikanth Patala , Brian J. Reich

Soft-solid molecular crystals consist of crystalline grains and fluid grain boundaries (GB) that enhance grain binding and transport of Li+ ions between the grains. The total ionic conductivity consists of ion migration in both the grains…

We study the motion of a grain boundary separating two otherwise stationary domains of hexagonal symmetry. Starting from an order parameter equation appropriate for hexagonal patterns, a multiple scale analysis leads to an analytical…

Soft Condensed Matter · Physics 2009-11-07 Denis Boyer , Jorge Vinals

The dynamics of polymer-nanoparticle (NP) mixtures, which involves multiple scales and system-specific variables, has posed a long-standing challenge on its theoretical description. In this paper, we construct a microscopic theory for…

Soft Condensed Matter · Physics 2021-06-15 Bokai Zhang , Jian Li , Juan-mei Hu , Lei Liu
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