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The logarithmic-normal (lognormal) distribution is one of the most frequently observed distributions in nature and describes a large number of physical, biological and even sociological phenomena. The origin of this distribution is…

Materials Science · Physics 2009-11-13 Ralf B. Bergmann , Andreas Bill

Dynamic recrystallization is one of the main phenomena responsible for microstructure evolutions during hot forming. Consequently, getting a better understanding of DRX mechanisms and being able to predict them is crucial. This paper…

Computational Engineering, Finance, and Science · Computer Science 2022-12-14 Victor Grand , Baptiste Flipon , Alexis Gaillac , Marc Bernacki

Grain microstructures are crucial to the mechanical properties, performance, and often lifetime of metallic components. Hence, the prediction of grain microstructures emerging from solidification processes at relevant macroscopic scale is…

Materials Science · Physics 2025-04-18 Salem Mosbah , Rodrigo Gómez Vázquez , Constantin Zenz , Damien Tourret , Andreas Otto

Homogeneous nucleation from aluminum (Al) melt was investigated by million-atom molecular dynamics (MD) simulations utilizing the second nearest neighbor modified embedded atom method (MEAM) potentials. The natural spontaneous homogenous…

Materials Science · Physics 2019-05-02 Avik Mahata , Mohsen Asle Zaeem , Michael I. Baskes

Germanium is the base element in many phase-change materials, i.e. systems that can undergo reversible transformations between their crystalline and amorphous phases. They are widely used in current digital electronics and hold great…

Materials Science · Physics 2015-04-28 Celia Reina , Luis Sandoval , Jaime Marian

We consider the problem of heterogeneous nucleation and growth. The system is described by a phase field model in which the temperature is included through thermal noise. We show that this phase field approach is suitable to describe…

Statistical Mechanics · Physics 2009-11-07 Mario Castro

The granular microstructure of metals evolves significantly during thermomechanical processing through viscoplastic deformation and recrystallization. Microstructural features such as grain boundaries (GBs), subgrains, localized deformation…

Materials Science · Physics 2025-06-11 Izzet Tarik Tandogan , Michael Budnitzki , Stefan Sandfeld

We review how phase-field models contributed to the understanding of various aspects of crystal nucleation including homogeneous and heterogeneous processes, and their role in microstructure evolution. We recall results obtained both by the…

A full understanding of polycrystalline materials requires studying the process of nucleation, a thermally activated phase transition that typically occurs at atomistic scales. The numerical modeling of this process is problematic for…

Materials Science · Physics 2018-05-09 Paul Jreidini , Gabriel Kocher , Nikolas Provatas

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

Atomistic simulations of the molecular dynamics/statics kind are regularly used to study small scale plasticity. Contemporary simulations are performed with tens to hundreds of millions of atoms, with snapshots of these configurations…

Materials Science · Physics 2022-06-17 Aruna Prakash , Stefan Sandfeld

A simple model for the solidification of globular grains in metallic alloys is presented. Based on the Voronoi diagram of the nuclei centers, it accounts for the curvature of the grains near triple junctions. The predictions of this model…

Materials Science · Physics 2007-11-28 Stéphane Vernède , Michel Rappaz

Nanocrystalline materials have been proposed for use in future fusion reactors due to their high grain boundary density that may act as a sink for irradiation-induced defects. We use molecular dynamics to model collision cascades in…

We study statistical properties of the Kolmogorov-Avrami-Johnson-Mehl nucleation-and-growth model in one dimension. We obtain exact results for the gap density as well as the island distribution. When all nucleation events occur…

Condensed Matter · Physics 2009-10-28 E. Ben-Naim , P. L. Krapivsky

Experimental DSC and Avrami curves for the crystallization of metallic glasses demonstrate nucleation at grain boundaries and thus indicate their grain structure, which refutes the generally accepted idea of glass as a homogeneous frozen…

Materials Science · Physics 2025-06-27 Nikolay V. Alekseechkin

It has been shown that the KJMA (Kolmogorov-Johnson-Mehl-Avrami) solution of phase transition kinetics can be set as a problem of correlated nucleation [Phys.Rev.B65, 172301 (2002)]. In this paper the equivalence between the standard…

Materials Science · Physics 2009-11-10 M. Tomellini , M. Fanfoni

We propose a model for isotropization and corresponding thermalization in a nucleon system created in the collision of two nuclei. The model is based on the assumption: during the fireball evolution, two-particle elastic and inelastic…

Nuclear Theory · Physics 2008-11-26 Dmitry Anchishkin , Stanislav Yezhov

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

We develop a model in the framework of nuclear fragmentation at thermodynamic equilibrium which can be mapped onto an Ising model with constant magnetization. We work out the thermodynamic properties of the model as well as the properties…

Nuclear Theory · Physics 2009-10-31 J. M. Carmona , J. Richert , A. Tarancon

We introduce an accurate, self-contained and automatic atom based numerical algorithm to characterize grain distributions in two dimensional Phase Field Crystal simulations. Four input parameters must be set by the user and their effect is…

Materials Science · Physics 2018-11-29 Gabriel Martine La Boissoniere , Rustum Choksi