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The process of rapid solidification of a binary mixture is considered in the framework of local nonequilibrium model (LNM) based on the assumption that there is no local equilibrium in solute diffusion in the bulk liquid and at the…

Materials Science · Physics 2020-03-18 G. L. Buchbinder , P. K. Galenko

The effect of nonequilibrium solute trapping by a growing solid under rapid solidification conditions is studied using a phase-field model. Considering a continuous steady-state concentration profile across the diffuse solid-liquid…

Materials Science · Physics 2007-05-23 Denis Danilov , Britta Nestler

In this study we have incorporated two time scales into the phase field crystal model of a binary alloy to explore different solute trapping properties as a function of crystal-melt interface velocity. With only diffusive dynamics, we…

Materials Science · Physics 2015-06-11 Harith Humadi , Jeffrey J. Hoyt , Nikolas Provatas

The crystallization of a binary system is investigated in computer model which takes into account a temperature dependence of diffusion coefficient and a nonequilibrium partition of dissolved component of the alloy. The dependence of…

Materials Science · Physics 2008-04-14 L. P. Tarabaev , V. O. Esin

On the basis of local nonequilibrium approach, the one-dimensional model of the solute diffusion during rapid solidification of the binary alloy in the semi-infinite volume is considered. Within the scope of the model it is supposed that…

Materials Science · Physics 2009-12-23 G. L. Buchbinder , P. Martaller

We present the results of non-equilibrium molecular dynamics simulations for the growth of a solid binary alloy from its liquid phase. The regime of high pulling velocities, $V$, for which there is a progressive transition from solute…

Materials Science · Physics 2009-10-31 F. Celestini , J. M. Debierre

Solute trapping is an important phenomenon in rapid solidification of alloys, for which the continuous growth model (CGM) is a popular sharp interface theory. Using matched asymptotic analysis, we show how to quantitatively map the sharp…

Materials Science · Physics 2018-09-17 Tatu Pinomaa , Nikolas Provatas

The interface stability against small perturbations of the planar solid-liquid interface is considered analytically in linear approximation. Following the analytical procedure of Trivedi and Kurz (Trivedi R, Kurz W. Acta Metall…

Materials Science · Physics 2009-11-10 P. K. Galenko , D. A. Danilov

The rapid solidification of a binary mixture in the region of the interface velocities $V$ close to the diffusion speed in the bulk of the liquid phase $V_D$ is considered within the framework of the local nonequilibrium approach. In this…

Materials Science · Physics 2021-07-12 G. L. Buchbinder

Starting from a phase-field description of the isothermal solidification of a dilute binary alloy, we establish a model where capillary waves of the solidification front interact with the diffusive concentration field of the solute. The…

Mesoscale and Nanoscale Physics · Physics 2015-05-27 Alexander L. Korzhenevskii , Richard Bausch , Rudi Schmitz

By analytically solving some simple models of phase-ordering kinetics, we suggest a mechanism for the onset of non-equilibrium behaviour in colloid-polymer mixtures. These mixtures can function as models of atomic systems; their physics…

Soft Condensed Matter · Physics 2016-08-31 R. M. L. Evans , W. C. K. Poon

When a droplet is brought in contact with an undercooled surface, it wets the substrate and solidifies at the same time. The interplay between the phase transition effects and the contact-line motion, leading to its arrest, remains poorly…

We further develop a recently introduced phase-field model of rapid alloy solidification [Ji et al., PRL 2023]. This model utilizes enhanced solute diffusivity within the spatially diffuse interface region to quantitatively capture solute…

Materials Science · Physics 2025-08-11 Kaihua Ji , Mingwang Zhong , Alain Karma

Understanding rapid solidification behavior at velocities relevant to additive manufacturing (AM) is critical to controlling microstructure selection. Although in-situ visualization of solidification dynamics is now possible, systematic…

The phase separation mechanism of a binary liquid mixture off-critically quenched in its miscibility gap is nucleation and growth, its homogeneous phase reaching a metastable equilibrium state. The successive stages of growth of the…

Statistical Mechanics · Physics 2009-11-18 Jean Colombani , Jacques Bert

Fractionation is necessary for self-assembly in multicomponent mixtures. Here, reversible fractionation and crystallization are realized and studied in a two-dimensional binary colloids which is supersaturated by enhancing the attraction…

Soft Condensed Matter · Physics 2020-08-20 Lian Dan Yao , Hong Yu Chen , Yan Shi , Ying Liang , Tian Hui Zhang

We introduce a new phase-field formulation of rapid alloy solidification that quantitatively incorporates nonequilibrium effects at the solid-liquid interface over a very wide range of interface velocities. Simulations identify a new…

Materials Science · Physics 2023-01-16 Kaihua Ji , Elaheh Dorari , Amy J. Clarke , Alain Karma

Colloidal particles are often seen as big atoms that can be directly observed in real space. They are therefore playing an increasingly important role as model systems to study processes of interest in condensed matter physics such as…

A thermodynamic approach to rapid phase transformations within a diffuse interface in a binary system is developed. Assuming an extended set of independent thermodynamic variables formed by the union of the classic set of slow variables and…

Materials Science · Physics 2009-11-10 Peter Galenko , David Jou

We present a detailed derivation and thin interface analysis of a phase-field model that can accurately simulate microstructural pattern formation for low-speed directional solidification of a dilute binary alloy. This advance with respect…

Materials Science · Physics 2009-11-10 Blas Echebarria , Roger Folch , Alain Karma , Mathis Plapp
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