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We review our recent modeling of crystal nucleation and polycrystalline growth using a phase field theory. First, we consider the applicability of phase field theory for describing crystal nucleation in a model hard sphere fluid. It is…

Soft Condensed Matter · Physics 2007-05-23 L. Granasy , T. Pusztai , T. Borzsonyi

Despite the large number of experiments demonstrating that grains in a metallic material can grow at room temperature due to applied mechanical load, the mechanisms and the driving forces responsible for mechanically induced grain…

Materials Science · Physics 2019-04-08 Oleksandr Glushko , Gerhard Dehm

A threshold dynamics model of grain growth that accounts for the anisotropy in the grain boundary energy has been used to simulate experimentally observed grain growth of polycrystalline Ni. The simulation reproduces several aspects of the…

The decay of a crystalline cone below the roughening transition is studied. We consider local mass transport through surface diffusion, focusing on the two cases of diffusion limited and attachment-detachment limited step kinetics. In both…

Materials Science · Physics 2009-10-31 Navot Israeli , Daniel Kandel

The diffusion model has emerged as a powerful tool for generating atomic structures for materials science. This work calls attention to the deficiency of current particle-based diffusion models, which represent atoms as a point cloud, in…

Materials Science · Physics 2024-08-29 Bo Lei , Enze Chen , Hyuna Kwon , Tim Hsu , Babak Sadigh , Vincenzo Lordi , Timofey Frolov , Fei Zhou

We study the linear growth and nonlinear saturation of the "acoustic Resonant Drag Instability" (RDI) when the dust grains, which drive the instability, have a wide, continuous spectrum of different sizes. This physics is generally…

Astrophysics of Galaxies · Physics 2021-12-13 Jonathan Squire , Stefania Moroianu , Philip F. Hopkins

Simulation of subgrain growth during recovery is carried out using two-dimensional discrete dislocation dynamics on a hexagonal crystal lattice having three symmetric slip planes. To account for elevated temperature (i) dislocation climb…

Materials Science · Physics 2011-07-27 Péter Dusán Ispánovity , István Groma , Wolfgang Hoffelner , Maria Samaras

Most materials in available macroscopic quantities are polycrystalline. Graphene, a recently discovered two-dimensional form of carbon with strong potential for replacing silicon in future electronics, is no exception. There is growing…

Mesoscale and Nanoscale Physics · Physics 2010-09-28 Oleg V. Yazyev , Steven G. Louie

Gravity-driven size segregation is important in mountain streams where a wide range of grain sizes are transported as bedload. More particularly, vertical size segregation is a multi-scale process that originates in interactions at the…

Fluid Dynamics · Physics 2021-04-28 Hugo Rousseau , Rémi Chassagne , Julien Chauchat , Raphael Maurin , Philippe Frey

We study the time dependence of the grain size distribution N(r,t) during crystallization of a d-dimensional solid. A partial differential equation including a source term for nuclei and a growth law for grains is solved analytically for…

Materials Science · Physics 2010-03-02 Anthony V. Teran , Ralf B. Bergmann , Andreas Bill

Thermal stability of nanocrystalline multilayer thin film is of paramount importance as the applications often involve high temperature. Here we report on the layer instability phenomenon in binary polycrystalline thin film initiating from…

Materials Science · Physics 2017-10-10 Tamoghna Chakrabarti , Nisha Verma , Sukriti Manna

The microstructure evolution due to thermomechanical treatment of metals can largely be described by viscoplastic deformation, nucleation and grain growth. These processes take place over different length and time scales which present…

Materials Science · Physics 2018-10-16 Anna Ask , Samuel Forest , Benoit Appolaire , Kais Ammar , Oguz Umut Salman

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

Most technologically useful materials are polycrystalline microstructures composed of a myriad of small monocrystalline grains separated by grain boundaries. The energetics and connectivities of grain boundaries play a crucial role in…

Analysis of PDEs · Mathematics 2020-08-20 Yekaterina Epshteyn , Chun Liu , Masashi Mizuno

In this paper, we develop a mean-field model for simulating the microstructure evolution of crystalline materials during static recrystallization. The model considers a population of individual cells (i.e. grains and subgrains) growing in a…

Materials Science · Physics 2020-05-18 Arthur Després , Michael Greenwood , Chad Sinclair

Polycrystalline materials undergoing coarsening can be represented as evolving networks of grain boundaries, whose statistical characteristics determine macroscopic materials properties. The process of formation of various statistical…

Materials Science · Physics 2015-02-23 Claudio Torres , Maria Emelianenko , Dmitry Golovaty , David Kinderlehrer , Shlomo Ta'asan

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

Wet granular aggregates are common precursors of construction materials, food, and health care products. The physical mechanisms involved in the mixing of dry grains with a wet substrate are not well understood and difficult to control.…

Soft Condensed Matter · Physics 2017-05-23 Guillaume Saingier , Alban Sauret , Pierre Jop

In sustained growth with random dynamics stationary distributions can exist without detailed balance. This suggests thermodynamical behavior in fast growing complex systems. In order to model such phenomena we apply both a discrete and a…

Statistical Mechanics · Physics 2017-03-22 Tamás Biró , Zoltán Néda

Step meandering instability in a Burton-Cabrera-Frank (BCF)-type model for the growth of an isolated, atomically high step on a crystal surface is analyzed. It is assumed that the growth is sustained by the molecular precursors deposition…

Materials Science · Physics 2015-06-18 Mikhail Khenner
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