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19982024
most citedQuantitative Phase Field Model of Alloy Solidification

816 citations · 3.2k across the 41 of their papers we have counts for

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36 papers · 1 filter

cond-mat.mtrl-sci2024

Multi-Physics Modeling Of Phase Change Memory Operations in Ge-rich GeSbTe Alloys

Robin Miquel, Thomas Cabout, Olga Cueto +2

One of the most widely used active materials for phase-change memories (PCM), the ternary stoichiometric compound GeSbTe (GST), has a low crystallization temperature of…

cond-mat.mtrl-sci2024★ 1 cited

Grand-potential phase field simulations of droplet growth and sedimentation in a two-phase ternary fluid

Werner Verdier, Alain Cartalade, Mathis Plapp

A methodology is built to model and simulate the dynamics of domain coarsening of a two-phase ternary liquid with an arbitrary phase diagram. High numerical performance is obtained…

cond-mat.mtrl-sci2024★ 2 cited

Spinodal decomposition and domain coarsening in a multi-layer Cahn-Hilliard model for lithium intercalation in graphite

Antoine Cordoba, Marion Chandesris, Mathis Plapp

During the intercalation of lithium in layered host materials such as graphite, lithium atoms can move within the plane between two neighboring graphene sheets, but cannot cross th…

cond-mat.mtrl-sci2019★ 15 cited

On topological defects in two-dimensional orientation-field models for grain growth

Bálint Korbuly, Mathis Plapp, Hervé Henry +3

Standard two-dimensional orientation-field based phase-field models rely on a continuous scalar field to represent crystallographic orientation. The corresponding order parameter s…

cond-mat.mtrl-sci2019★ 7 cited

Nucleation of crystal surfaces with corner energy regularization

Thomas Philippe, Hervé Henry, Mathis Plapp

The thermodynamics of strongly anisotropic crystalline surfaces is analogous to that of a binary mixture exhibiting phase separation. On a metastable planar surface, formation of s…

cond-mat.mtrl-sci2019

Influence of morphological instability on grain boundary trajectory during directional solidification

Supriyo Ghosh, Alain Karma, Mathis Plapp +3

The interplay between the diffusion-controlled dynamics of a solidification front and the trajectory of a grain boundary groove at the solid-liquid interface is studied by means of…

cond-mat.mtrl-sci2017★ 26 cited

Grain coarsening in two-dimensional phase-field models with an orientation field

Balint Korbuly, Tamas Pusztai, Herve Henry +3

In the literature, contradictory results have been published regarding the form of the limiting (long-time) grain size distribution (LGSD) that characterizes the late stage grain c…

cond-mat.mtrl-sci2015

Influence of interphase anisotropy on lamellar eutectic growth patterns

Supriyo Ghosh, Mathis Plapp

It is well documented in many experiments that crystallographic effects play an important role in the generation of two-phase patterns during the solidification of eutectic alloys.…

cond-mat.mtrl-sci2014★ 1 cited

Current Induced Fingering Instability in Magnetic Domain Walls

Jon Gorchon, Javier Curiale, Andrejs Cebers +4

The shape instability of magnetic domain walls under current is investigated in a ferromagnetic (Ga,Mn)(As,P) film with perpendicular anisotropy. Domain wall motion is driven by th…

cond-mat.mtrl-sci2012★ 35 cited

An orientation-field model for polycristalline solidification with a singular coupling between order and orientation

Hervé Henry, Jesper Mellenthin, Mathis Plapp

The solidification of polycrystalline materials can be modelled by orientation-field models, which are formulated in terms of two continuous fields: a phase field that describes th…

cond-mat.mtrl-sci2011★ 29 cited

Tensorial mobilities for accurate solution of transport problems in models with diffuse interfaces

Matteo Nicoli, Mathis Plapp, Hervé Henry

The general problem of two-phase transport in phase-field models is analyzed: the flux of a conserved quantity is driven by the gradient of a potential through a medium that consis…

cond-mat.mtrl-sci2011★ 286 cited

Unified derivation of phase-field models for alloy solidification from a grand-potential functional

Mathis Plapp

In the literature, two quite different phase-field formulations for the problem of alloy solidification can be found. In the first, the material in the diffuse interfaces is assume…

cond-mat.mtrl-sci2011★ 61 cited

Theoretical and numerical study of lamellar eutectic three-phase growth in ternary alloys

Abhik Choudhury, Mathis Plapp, Britta Nestler

We investigate lamellar three-phase patterns that form during the directional solidification of ternary eutectic alloys in thin samples. A distinctive feature of this system is tha…

cond-mat.mtrl-sci2010★ 49 cited

Controlling crystal symmetries in phase-field crystal models

Kuo-An Wu, Mathis Plapp, Peter W Voorhees

We investigate the possibility to control the symmetry of ordered states in phase-field crystal models by tuning nonlinear resonances. In two dimensions, we find that a state of sq…

cond-mat.mtrl-sci2010★ 61 cited

Defects and multistability in eutectic solidification patterns

Andrea Parisi, Mathis Plapp

We use three-dimensional phase-field simulations to investigate the dynamics of the two-phase composite patterns formed upon during solidification of eutectic alloys. Besides the s…

cond-mat.mtrl-sci2010★ 64 cited

Remarks on some open problems in phase-field modelling of solidification

Mathis Plapp

Three different topics in phase-field modelling of solidification are discussed, with particular emphasis on the limitations of the currently available modelling approaches. First,…

cond-mat.mtrl-sci2010★ 52 cited

Diffuse-interface model for nanopatterning induced by self-sustained ion etch masking

S. Le Roy, E. Søndergård, M. Kildemo +2

We construct a simple phenomenological diffuse-interface model for composition-induced nanopatterning during ion sputtering of alloys. In simulations, this model reproduces without…

cond-mat.mtrl-sci2008

Phase-field modeling of the discontinuous precipitation reaction

Lynda Amirouche, Mathis Plapp

A multi-phase-field model for the description of the discontinuous precipitation reaction is formulated which takes into account surface diffusion along grain boundaries and interf…

cond-mat.mtrl-sci2008★ 259 cited

Phase-field crystal study of grain-boundary premelting

Jesper Mellenthin, Alain Karma, Mathis Plapp

We study the phenomenon of grain-boundary premelting for temperatures below the melting point in the phase-field crystal model of a pure material with hexagonal ordering in two dim…

cond-mat.mtrl-sci2005★ 310 cited

Quantitative phase-field modeling of two-phase solidification

R. Folch, M. Plapp

A phase-field model that allows for quantitative simulations of low-speed eutectic and peritectic solidification under typical experimental conditions is developed. Its cornerstone…

cond-mat.mtrl-sci2004★ 816 cited

Quantitative Phase Field Model of Alloy Solidification

Blas Echebarria, Roger Folch, Alain Karma +1

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 solidif…

cond-mat.mtrl-sci2004

Three-dimensional phase-field simulations of directional solidification

M. Dejmek, R. Folch, A. Parisi +1

The phase-field method has become in recent years the method of choice for simulating microstructural pattern formation during solidification. One of its main advantages is that ti…

cond-mat.mtrl-sci2003★ 18 cited

A mean-field kinetic lattice gas model of electrochemical cells

Marc-Olivier Bernard, Mathis Plapp, Jean-Francois Gouyet

We develop Electrochemical Mean-Field Kinetic Equations (EMFKE) to simulate electrochemical cells. We start from a microscopic lattice-gas model with charged particles, and build m…

cond-mat.mtrl-sci2003★ 65 cited

Towards a quantitative phase-field model of two-phase solidification

R. Folch, M. Plapp

We construct a diffuse-interface model of two-phase solidification that quantitatively reproduces the classic free boundary problem on solid-liquid interfaces in the thin-interface…