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Numerous experimental data on the rapid solidification of binary systems exhibit the formation of metastable solid phases with the initial (nominal) chemical composition. This fact is explained by complete solute trapping leading to…

Materials Science · Physics 2009-11-13 Peter Galenko

A coarsened model for a binary system with limited miscibility of components is proposed; the system is described in terms of structural states in small parts of the material. The material is assumed to have two alternative types of…

Statistical Mechanics · Physics 2007-05-23 Leonid D. Son , German M. Rusakov , Alexander Z. Patashinski , Mark A. Ratner

Within the framework of the frozen temperature approximation we develop a strongly-nonlinear theory of one-dimensional pattern formation during directional solidification of binary mixture under nonequilibrium segregation. In the case of…

adap-org · Physics 2007-05-23 I. A. Lubshevsky , V. V. Gafiychuk , M. G. Keijan

We study a simple growth model for (d+1)-dimensional films of binary alloys in which atoms are allowed to interact and equilibrate at the surface, but are frozen in the bulk. The resulting crystal is highly anisotropic: Correlations…

Statistical Mechanics · Physics 2009-10-28 Barbara Drossel , Mehran Kardar

Precipitation-strengthened alloys, such as Ni-base, Co-base and Fe-base superalloys, show the development of dendrite-like precipitates in the solid state during aging at near-$\gamma^{\prime}$ solvus temperatures. These features arise out…

Materials Science · Physics 2024-01-25 Tushar Jogi , Saurav Shenoy , R. Sankarasubramanian , Abhik Choudhury , Saswata Bhattacharyya

The evolution of solidification microstructures in ternary metallic alloys is investigated by adaptive finite element simulations of a general multicomponent phase-field model. A morphological transition from dendritic to globular growth is…

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

We discuss the crystallization process from the supersaturated melt in terms of its non-equilibrium properties. In particular, we quantify the amount of heat that is produced irreversibly when a suspension of hard spheres crystallizes. This…

Statistical Mechanics · Physics 2015-04-17 Sven Dorosz , Thomas Voigtmann , Tanja Schilling

The approach of nonequilibrium evolution thermodynamics earlier offered is developed. It helps to describe the processes of defect formation within the adiabatic approximation. The basic equations system depends on the initial defects…

Materials Science · Physics 2015-10-23 A. V. Khomenko , D. S. Troshchenko , L. S. Metlov

An intrinsic feature of nearly all internal interfaces in crystalline systems (homo- and hetero-phase) is the presence of disconnections (topological line defects constrained to the interface that have both step and dislocation character).…

Materials Science · Physics 2023-05-12 Caihao Qiu , Marco Salvalaglio , David J. Srolovitz , Jian Han

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

The crystal growth velocity is one thermodynamic parameter of solidification experiments of undercooled melts under non-equilibrium conditions, which is directly accessible to observation. We applied the electrostatic levitation technique…

Materials Science · Physics 2020-08-05 Patrick Fopp , Wolfgang Hornfeck , Florian Kargl , Matthias Kolbe , Raphael Kobold

Theory and simulations of simultaneous chemical demixing and phase ordering are performed for a mixed order parameter system with an isotropic-isotropic (I-I) phase separation that is metastable with respect to an isotropic-nematic (I-N)…

Soft Condensed Matter · Physics 2015-06-17 Ezequiel R. Soule , Cyrille Lavigne , Linda Reven , Alejandro D. Rey

Interface energy and kinetic coefficient of crystal growth strongly depend on the face of the crystalline lattice. To investigate the kinetic anisotropy and velocity of different crystallographic faces we use the hyperbolic (modified) phase…

Materials Science · Physics 2020-04-03 Vladimir Ankudinov , Peter K. Galenko

The existing theoretical analyses of solidification dynamics lack the insights of historical relevance and transport processes in the whole system. Through the phase-field model, this paper investigates the evolution in the whole domain…

Materials Science · Physics 2023-09-06 Fengyi Yu

We consider the process of precipitation in binary alloys in the presence of mechanical deformation. It is commonly observed that mechanical deformation prior to or during precipitation leads to microstructure with excess defects, which…

Materials Science · Physics 2025-02-11 Alex Mamaev , Duncan Burns , Nikolas Provatas

Numerical experiments of the statistical evolution of an ensemble of non-interacting particles in a time-dependent billiard with inelastic collisions, reveals the existence of three statistical regimes for the evolution of the speeds…

Chaotic Dynamics · Physics 2020-01-08 M. Hansen , D. Ciro , I. L. Caldas , E. D. Leonel

We discuss the interplay between a slow continuous drift of temperature, which induces continuous phase separation, and the non-linear diffusion term in the $\phi^4$-model for phase separation of a binary mixture. This leads to a bound for…

Statistical Mechanics · Physics 2012-05-31 Juergen Vollmer

We systematically study the relationship between equilibrium and non-equilibrium phase diagrams of a system of short-ranged attractive colloids. Using Monte Carlo and Brownian dynamics simulations we find a window of enhanced…

Soft Condensed Matter · Physics 2009-11-13 Andrea Fortini , Eduardo Sanz , Marjolein Dijkstra

Investigation of crystallization in an 5BDSR amorphous alloy by system Fe-Cu-Nb-Si-B under the influence of an incoherent optical radiation generated by gas discharge flash-lamp using X-ray diffraction scattering. It is shown that depending…

Materials Science · Physics 2010-10-26 Ruslan A. Nazipov , Nikolaj A. Zuzin , Anatoly V. Mitin
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