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In this work, we study the crystalline nuclei growth in glassy systems focusing primarily on the early stages of the process, at which the size of a growing nucleus is still comparable with the critical size. On the basis of molecular…

Disordered Systems and Neural Networks · Physics 2017-04-10 Anatolii V. Mokshin , Bulat N. Galimzyanov

Crystal nucleation and growth processes induced by an externally applied shear strain in a model metallic glass are studied by means of nonequilibrium molecular dynamics simulations, in a range of temperatures. We observe that the…

Materials Science · Physics 2010-09-30 Anatolii Mokshin , J. -L. Barrat

Crystallization kinetics has features that are universal and independent of the type of crystallized system. The possibility of using scaling relations to describe the temperature dependences of the surface self-diffusion coefficient $D_s$,…

Materials Science · Physics 2020-01-07 Anatolii V. Mokshin , Bulat N. Galimzyanov , Dinar T. Yarullin

Features of the crystallization kinetics define directly the rate characteristics: the crystal nucleation rate, the crystal growth rate and the so-called kinetic rate factor known also as the attachment rate (of particles to the surface of…

Materials Science · Physics 2020-02-26 Anatolii V. Mokshin , Bulat N. Galimzyanov , Dinar T. Yarullin

We address the system-size dependence of typical plastic flow events when an amorphous solid is put under a fixed external strain rate at a finite temperature. For system sizes that are accessible to numerical simulations at reasonable…

Statistical Mechanics · Physics 2015-05-13 H. G. E. Hentschel , Smarajit Karmakar , Edan Lerner , Itamar Procaccia

A simple numerical model which calculates the kinetics of crystallization involving randomly distributed nucleation and isotropic growth is presented. The model can be applied to different thermal histories and no restrictions are imposed…

Materials Science · Physics 2008-11-17 J. Farjas , P. Roura

Kinetics of crystal-growth is investigated along the solid-liquid coexistence line for the (100), (110) and (111) orientations of the Lennard-Jones and Weeks-Chandler-Andersen fcc crystal-liquid interface, using non-equilibrium molecular…

Statistical Mechanics · Physics 2015-04-29 Ronald Benjamin , Jürgen Horbach

Crystal growth and crystal coalescence processes in supercooled systems strongly depend on the concentration of crystallization centers. We perform atomistic dynamics simulations of the crystallization process in the ultrathin metallic film…

Materials Science · Physics 2019-09-04 Bulat N. Galimzyanov , Vladimir I. Ladyanov , Anatolii V. Mokshin

Usually, supercooled liquids and glasses are thermodynamically unstable against crystallization. Classical nucleation theory (CNT) has been used to describe the crystallization dynamics of supercooled liquids. However, recent studies on…

Soft Condensed Matter · Physics 2023-03-15 Yuki Takaha , Hideyuki Mizuno , Atsushi Ikeda

Phase transformations are widely studied using continuous-heating experiments. In isothermal studies, their kinetics are often described using the Johnson-Mehl-Avrami-Kolmogorov (JMAK) rate equation. For continuous-heating studies, the same…

Materials Science · Physics 2025-10-17 Owain S. Houghton

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

Melting kinetics of polycrystalline materials is analyzed on the basis of a new model which explicitly couples homogeneous and heterogeneous melting mechanisms. The distinct feature of this approach lies in its ability to evaluate not only…

Applied Physics · Physics 2019-08-07 Meizhen Xiang , Yi Liao , Guomeng Li , Jun Chen

We study the growing time scales and length scales associated with dynamical slow down for a realistic glass former, using computer simulations. We perform finite size scaling to evaluate a length scale associated with dynamical…

Statistical Mechanics · Physics 2009-11-13 Smarajit Karmakar , Chandan Dasgupta , Srikanth Sastry

Molecular dynamics simulations are performed to study spatially heterogeneous dynamics in a model of viscous silica above and below the critical temperature of the mode coupling theory, $T_{MCT}$. Specifically, we follow the evolution of…

Soft Condensed Matter · Physics 2009-11-10 M. Vogel , S. C. Glotzer

Kinetic rate factors of crystallization have a direct effect on formation and growth of an ordered solid phase in supercooled liquids and glasses. Using crystallizing Lennard-Jones liquid as an example, in the present work we perform a…

Soft Condensed Matter · Physics 2021-05-17 Dinar T. Yarullin , Bulat N. Galimzyanov , Anatolii V. Mokshin

Uncovering the quantitative laws that govern the growth and division of single cells remains a major challenge. Using a unique combination of technologies that yields unprecedented statistical precision, we find that the sizes of individual…

Due to high viscosity, glassy systems evolve slowly to the ordered state. Results of molecular dynamics simulation reveal that the structural ordering in glasses becomes observable over "experimental" (finite) time-scale for the range of…

Materials Science · Physics 2015-06-24 Anatolii V. Mokshin , Bulat N. Galimzyanov

Processes of coalescence and fragmentation are used to understand the time-evolution of the mass distribution of various systems and may result in a steady state or in stable deterministic or stochastic cycles. Motivated by applications in…

Other Condensed Matter · Physics 2023-10-09 Brennen T. Fagan , Niall J. MacKay , A. Jamie Wood

We present the results of a large scale computer simulation of supercooled silica. We find that at high temperatures the diffusion constants show a non-Arrhenius temperature dependence whereas at low temperature this dependence is also…

Disordered Systems and Neural Networks · Physics 2015-06-25 Jurgen Horbach , Walter Kob , Kurt Binder

The process of homogeneous crystal nucleation has been considered in a model liquid, where the interparticle interaction is described by a short-range spherical oscillatory potential. Mechanisms of initiating structural ordering in the…

Materials Science · Physics 2018-12-18 Bulat N. Galimzyanov , Dinar T. Yarullin , Anatolii V. Mokshin
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