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Related papers: Pattern formation during melting of lamellar eutec…

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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 spatially periodic lamellar and rod patterns that have been…

Materials Science · Physics 2010-06-01 Andrea Parisi , Mathis Plapp

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 that many different geometric arrangements of the three phases…

Materials Science · Physics 2015-05-27 Abhik Choudhury , Mathis Plapp , Britta Nestler

A phase-field study has been conducted to obtain an understanding of the formation mechanism of the script lamellar pattern of MoSi2/Mo5Si3 eutectic composite, which is a promising candidate for high-temperature structural application. The…

Materials Science · Physics 2019-06-10 Chuanqi Zhu , Yuichiro Koizumi , Akihiko Chiba , Koretaka Yuge , Kyosuke Kishida , Haruyuki Inui

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 time-dependent three-dimensional simulations become feasible.…

Materials Science · Physics 2007-05-23 M. Dejmek , R. Folch , A. Parisi , M. Plapp

Eutectic two-phase cells, also known as eutectic colonies, are commonly observed during the solidification of ternary alloys when the composition is close to a binary eutectic valley. In analogy with the solidification cells formed in…

Materials Science · Physics 2009-11-07 Mathis Plapp , Alain Karma

Regular pattern formation is ubiquitous in nature; it occurs in biological, physical, and materials science systems. Here we propose a set of experiments with ultracold atoms that show how to examine different types of pattern formation. In…

Strongly Correlated Electrons · Physics 2008-08-14 M. M. Maska , R. Lemanski , J. K. Freericks , C. J. Williams

We discuss a simple model of the melting kinetics along the solid-solid interface in eutectic and peritectic systems. The process is controlled by the diffusion inside the liquid phase and the existence of a triple junction is crucial for…

Materials Science · Physics 2007-05-23 Efim A. Brener , D. E. Temkin

We study the long-time dynamics of hexagonal directional-solidification patterns in bulk samples of a transparent eutectic alloy using an optical method which permits real-time observation of the growth front. A slow dilatation of the…

Pattern Formation and Solitons · Physics 2008-09-12 Mikael Perrut , Silvère Akamatsu , Sabine Bottin-Rousseau , Gabriel Faivre

Solidification is an important process in many alloy processing routes. The solidified microstructure of alloys is usually made up of dendrites, eutectics or a combination of both. The evolving morphologies are largely determined by the…

Materials Science · Physics 2024-12-17 Marco Seiz , Michael Kellner , Britta Nestler

Computer simulations of contact melting and associated interfacial phenomena in binary eutectic systems were performed on the basis of the standard phase-field model with miscibility gap in solid state. It is shown that the model predicts…

Materials Science · Physics 2014-09-05 Oleksiy Bystrenko , Valeriy Kartuzov

We elucidate the interplay between diverse two-dimensional melting pathways and establish solid/hexatic and hexatic/liquid transition criteria via the numerical simulations of the melting transition of two- and three-component mixtures of…

Soft Condensed Matter · Physics 2023-07-05 Yan-Wei Li , Yugui Yao , Massimo Pica Ciamarra

We demonstrate by both experiments and phase-field simulations that lamellar eutectic growth can be stable for a wide range of spacings below the point of minimum undercooling at low velocity, contrary to what is predicted by existing…

Materials Science · Physics 2009-11-07 S. Akamatsu , M. Plapp , G. Faivre , A. Karma

The phase diagram of the prototypical two-dimensional Lennard-Jones system, while extensively investigated, is still debated. In particular, there are controversial results in the literature as concern the existence of the hexatic phase and…

Statistical Mechanics · Physics 2020-12-08 Yan-Wei Li , Massimo Pica Ciamarra

The melting transitions of a colloidal lattice confined to a two-dimensional ($2D$) periodic substrate of square symmetry are studied using Monte Carlo simulations. When the strengths of interparticle and particle-substrate interactions are…

Statistical Mechanics · Physics 2025-10-02 Akhilesh M P , Toby Joseph

A laser focussed onto a semiconductor film can create a disordered lamellae pattern of coexisting molten-solid regions. We present a continuum model based on the higher reflectivity of the molten regions. For large latent heat, this model…

Condensed Matter · Physics 2009-10-22 Chuck Yeung , Rashmi Desai

Our previous molecular dynamic simulation studies of simple two-dimensional (2D) systems \cite{matt_big} suggested that both geometrical defects (localized, large-amplitude deviations from hexagonal ordering) and topological defects…

Statistical Mechanics · Physics 2007-05-23 Yves Lansac , Matthew A. Glaser , Noel A. Clark

A molecular dynamics study of a two dimensional system of particles interacting through a Lennard-Jones pairwise potential is performed at fixed temperature and vanishing external pressure. As the temperature is increased, a solid-to-liquid…

Statistical Mechanics · Physics 2015-05-27 Daniel Asenjo , Fernando Lund , Simón Poblete , Rodrigo Soto , Marcos Sotomayor

The non-cooperative eutectoid transformation relies on the presence of pre-existing cementite particles in the parent austenitic phase and yields a product, popularly known as the divorced eutectoid. In isothermal conditions, two of the…

Materials Science · Physics 2014-08-08 Kumar Ankit , Rajdip Mukherjee , Tobias Mittnacht , Britta Nestler

The competition between Coulomb repulsion and kinetic energy in correlated systems can allow electrons to crystallize into Wigner solids. Despite researches across diverse two-dimensional Wigner platforms, the microscopic melting processes…

Strongly Correlated Electrons · Physics 2026-01-06 Chaofei Liu , Jianwang Zhou , Wenao Liao , Zeyu Jiang , Chao Zhang , Tingfei Guo , Tianyou Zhai , Wenhao Zhang , Ying-Shuang Fu , Qi-Kun Xue

We study pattern formation in gels undergoing simultaneous phase separation and orientational ordering. A 2D numerical simulation is performed using a minimal model of nonlinear elasticity with density-anisotropy coupling. For strong…

Soft Condensed Matter · Physics 2009-11-07 Nariya Uchida
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