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Understanding hydrogen-grain boundary (GB) interactions is critical to the analysis of hydrogen embrittlement in metals. This work presents a mesoscale fully kinetic model to investigate the effect of GB misorientation on hydrogen diffusion…

Materials Science · Physics 2024-12-31 Abdelrahman Hussein , Byungki Kim , Kim Verbeken , Tom Depover

We study the motion of a grain boundary that separates two sets of mutually perpendicular rolls in Rayleigh-B\'enard convection above onset. The problem is treated either analytically from the corresponding amplitude equations, or…

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

3D Computer simulations and experiments are employed to study random packings of compressible spherical grains under external confining stress. Of particular interest is the rigid ball limit, which we describe as a continuous transition in…

Soft Condensed Matter · Physics 2009-10-31 Hernan A. Makse , David L. Johnson , Lawrence M. Schwartz

In this paper we propose and validate a multiscale model for the description of particle diffusion in presence of trapping boundaries. We start from a drift-diffusion equation in which the drift term describes the effect of bubble traps,…

Numerical Analysis · Mathematics 2023-07-11 Clarissa Astuto , Antonio Raudino , Giovanni Russo

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

The motion of a self-propelled particle is affected by its surroundings, such as boundaries or external fields. In this paper, we investigated the bifurcation of the motion of a camphor grain, as a simple actual self-propelled system,…

Pattern Formation and Solitons · Physics 2017-09-08 Yuki Koyano , Tatsunari Sakurai , Hiroyuki Kitahata

Polycrystalline materials have a viscoelastic rheology where the strains produced by stresses depend on the timescale of deformation. Energy can be stored elastically within grain interiors and dissipated by a variety of different…

Materials Science · Physics 2026-01-26 John F. Rudge

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…

Diffusion is a fundamental physical phenomenon with critical applications in fields such as metallurgy, cell biology, and population dynamics. While standard diffusion is well-understood, anomalous diffusion often requires complex non-local…

Statistical Mechanics · Physics 2026-01-16 Gabriel Barreiro , Vladimir Pérez-Veloz

Nanoindentation is a convenient method to investigate the mechanical properties of materials on small scales by utilizing low loads and small indentation depths. However, the effect of grain boundaries (GB) on the nanoindentation response…

Materials Science · Physics 2019-03-27 Songjiang Lu , Bo Zhang , Xiangyu Li , Junwen Zhao , Michael Zaiser , Haidong Fan , Xu Zhang

An expression for the stress tensor near an external boundary of a discrete mechanical system is derived explicitly in terms of the constituents' degrees of freedom and interaction forces. Starting point is the exact and general coarse…

Soft Condensed Matter · Physics 2011-08-26 Thomas Weinhart , Anthony R. Thornton , Stefan Luding , Onno Bokhove

Mixing grains with different properties is a remarkably challenging process, relevant to many industrial applications. Rotating drums have been used extensively as model systems to study granular media flow and mixing and segregation.…

Soft Condensed Matter · Physics 2018-09-05 Claudia Piacenza , Marco Marconati , Colin Hare , Andrea C. Santomaso , Marco Ramaioli

A grain boundary which separates domains with different orientation along the c-axis is analyzed. The coupling of two parallel superconducting planes whose order parameters are rotated leads to interesting properties which are expected to…

Superconductivity · Physics 2007-05-23 M. J. Calderon , E. Bascones

We propose a model for increasing liquid saturation in a granular packing which can account for liquid redistribution at saturation levels beyond the well-studied capillary bridge regime. The model is capable of resolving and combining…

Soft Condensed Matter · Physics 2015-09-02 Konstantin Melnikov , Roman Mani , Falk K. Wittel , Marcel Thielmann , Hans J. Herrmann

We utilized synchrotron-based in-situ diffraction and dominant shear deformation to identify, dissect, and quantify the relevant deformation mechanisms in nanocrystalline $\mathrm{Pd}_{90}\mathrm{Au}_{10}$ in the limiting case of grain…

Simulation of a Langevin-dynamics model demonstrates emergence of critical fluctuations and anomalous grain transport which have been observed in experiments on "soft" quasi-two-dimensional dusty plasma clusters. It has been suggested that…

Soft Condensed Matter · Physics 2015-05-13 S. Ratynskaia , G. Regnoli , K. Rypdal , B. Klumov , G. Morfill

We study the diffusion of tagged hard core interacting particles under the influence of an external force field. Using the Jepsen line we map this many particle problem onto a single particle one. We obtain general equations for the…

Statistical Mechanics · Physics 2015-05-14 E. Barkai , R. Silbey

Atomic diffusion affects the properties of various engineering materials, which predominantly occur in the polycrystalline state. A rigorous description of polycrystalline diffusion must therefore account for crystallographic defects,…

Materials Science · Physics 2025-10-21 Lena Scholz , Yongliang Ou , Blazej Grabowski , Felix Fritzen

We systematically investigate the transmission of charge carriers across the grain-boundary defects in polycrystalline graphene by means of the Landauer-B\"uttiker formalism within the tight-binding approximation. Calculations reveal a…

Mesoscale and Nanoscale Physics · Physics 2014-06-05 Fernando Gargiulo , Oleg V. Yazyev

Diffusion of a penetrating liquid in a polymeric material does not often satisfy the classical diffusion equations and requires taking relaxational (viscoelastic) properties of the polymer into account. We investigate a boundary value…

Analysis of PDEs · Mathematics 2015-05-14 Dmitry A. Vorotnikov