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Grain growth in polycrystals is often simulated using orientation-field models, which employ a field to represent the local orientation of the crystal lattice. These models can be challenging to represent a realistic misorientation…

Materials Science · Physics 2026-04-09 Philip Staublin , Yuri Mishin , Peter W. Voorhees , James A. Warren

We apply macroscopic fluctuation theory to study the diffusion of a tracer in a one-dimensional interacting particle system with excluded mutual passage, known as single-file diffusion. In the case of Brownian point particles with hard-core…

Statistical Mechanics · Physics 2014-11-18 P. L. Krapivsky , Kirone Mallick , Tridib Sadhu

Efficiently generating energetically stable crystal structures has long been a challenge in material design, primarily due to the immense arrangement of atoms in a crystal lattice. To facilitate the discovery of stable material, we present…

Artificial Intelligence · Computer Science 2025-09-30 Zhelin Li , Rami Mrad , Runxian Jiao , Guan Huang , Jun Shan , Shibing Chu , Yuanping Chen

A simple micromechanical model of polycrystalline materials is proposed, which enables us to swiftly produce grain-boundary-stress distributions induced by the uniform external loading (in the elastic strain regime). Such statistical…

Materials Science · Physics 2024-05-24 Timon Mede , Samir El Shawish

We derive the stochastic model of plasma-condensate systems by taking into account anisotropy in transference of adatoms between neighbor layers and by introducing fluctuations of adsorbate flux. We show, that by varying the fluctuation's…

Mesoscale and Nanoscale Physics · Physics 2019-03-27 Vasyl O. Kharchenko , Alina V. Dvornichenko

As an extension to strain-gradient models of size-dependent plastic behaviour, this work proposes a model for a stress-gradient theory. The model is distinguished from earlier works on the topic by its being embedded in a thermodynamically…

Materials Science · Physics 2020-12-30 B. D. Reddy , P. Steinmann , A. Kergassner

We investigate a class of parity-conserving solid-on-solid models which describe the growth of an interface by the deposition and evaporation of dimers. As a key feature of the models, evaporation of dimers takes place only at the edges of…

Statistical Mechanics · Physics 2009-10-31 Haye Hinrichsen , Geza Odor

The dynamics of dislocation assemblies in deforming crystals indicate the emergence of collective phenomena, intermittent fluctuations and strain avalanches. In polycrystalline materials, the understanding of plastic deformation mechanisms…

Materials Science · Physics 2009-11-13 Paolo Moretti , Lasse Laurson , Mikko J. Alava

Crystalline or polycrystalline systems governed by odd elastic responses are known to exhibit complex dynamical behaviors involving self-propelled dynamics of topological defects with spontaneous self-rotation of chiral crystallites.…

Soft Condensed Matter · Physics 2025-11-06 Zhi-Feng Huang , Michael te Vrugt , Raphael Wittkowski , Hartmut Löwen

We present a method to include the evolution of the grain size and grain opacity $\kappa_\mathrm{gr}$ in the equations describing the structure of protoplanetary atmospheres. The key assumption of this method is that a single grain size…

Earth and Planetary Astrophysics · Physics 2015-06-22 Chris W. Ormel

A macroscopic theory for describing cellular states during steady-growth is presented, which is based on the consistency between cellular growth and molecular replication, as well as the robustness of phenotypes against perturbations.…

Populations and Evolution · Quantitative Biology 2021-02-08 Kunihiko Kaneko , Chikara Furusawa

Inspired by recent experimental observation of patterning at the membrane of a living cell, we propose a generic model for the dynamics of a fluctuating interface driven by particle-like inclusions which stimulate its growth. We find that…

Soft Condensed Matter · Physics 2019-07-25 F. Cagnetta , M. R. Evans , D. Marenduzzo

Shearing with a finite shear rate a compressed granular system results in a region of grains flowing over a compact, static assembly. Perforce this region is dilated to a degree that depends on the shear rate, the loading pressure, gravity,…

Statistical Mechanics · Physics 2019-05-29 Prasenjit Das , H. George E. Hentschel , Itamar Procaccia

We analyze the fluctuations in particle positions and inter-particle forces in disordered jammed crystals in the limit of weak disorder. We demonstrate that such athermal systems are fundamentally different from their thermal counterparts,…

Soft Condensed Matter · Physics 2020-07-08 Pappu Acharya , Surajit Sengupta , Bulbul Chakraborty , Kabir Ramola

We used nonequilibrium molecular dynamics simulations to study the shear deformation of metallic composites composed of alternating layers of Cu and Au. Our simulations reveal the formation of "vortices" or "swirls" if the bimaterial…

Materials Science · Physics 2020-01-15 Adrien Gola , Ruth Schwaiger , Peter Gumbsch , Lars Pastewka

We propose general conditions for the emergence of Turing patterns in a domain that changes size through homogeneous growth/shrinkage based on the qualitative changes of a potential function. For this part of the work, we consider the most…

Pattern Formation and Solitons · Physics 2023-10-03 Aldo Ledesma-Durán

We study the dynamics of proliferating cell collectives whose microscopic constituents' growth is inhibited by macroscopic growth-induced stress. Discrete particle simulations of a growing collective show the emergence of concentric-ring…

Biological Physics · Physics 2024-05-17 Scott Weady , Bryce Palmer , Adam Lamson , Taeyoon Kim , Reza Farhadifar , Michael J. Shelley

In this study, a comprehensive view of a model crystal formation in a complex fluctuating medium is presented. The model incorporates Gaussian curvature effects at the crystal boundary as well as the possibility for superdiffusive motion…

Soft Condensed Matter · Physics 2012-10-03 A. Gadomski , J. Siodmiak , I. Santamaria-Holek , J. M. Rubi , M. Ausloos

The formation and dynamics of a wide variety of binary two-dimensional ordered structures and superlattices are investigated through a phase field crystal model with sublattice ordering. Various types of binary ordered phases, the phase…

Soft Condensed Matter · Physics 2019-09-25 Doaa Taha , S. R. Dlamini , S. K. Mkhonta , K. R. Elder , Zhi-Feng Huang

We present a general phase-field model for grain-boundary grooving and agglomeration of polycrystalline alloy thin films. In particular, we study the effects of slow-diffusing species on grooving rate. As the groove grows, the slow species…

Materials Science · Physics 2007-05-23 Mathieu Bouville , Dongzhi Chi , David J. Srolovitz
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