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A pure and incompressible material is confined between two plates such that it is heated from below and cooled from above. When its melting temperature is comprised between these two imposed temperatures, an interface separating liquid and…

Fluid Dynamics · Physics 2020-02-11 Jhaswantsing Purseed , Benjamin Favier , Laurent Duchemin , Eric W. Hester

The properties of the interface between solid and melt are key to solidification and melting, as the interfacial free energy introduces a kinetic barrier to phase transitions. This makes solidification happen below the melting temperature,…

Statistical Mechanics · Physics 2015-12-02 Bingqing Cheng , Gareth A. Tribello , Michele Ceriotti

We present a unified description of interface kinetic effects in phase field models for isothermal transformations in binary alloys and steps dynamics in molecular-beam-epitaxy. The phase field equations of motion incorporate a kinetic…

Materials Science · Physics 2015-06-16 G. Boussinot , Efim A. Brener

We investigate the static and the dynamic properties of an binary, equimolar, size-symmetric mixture of ultrasoft particles in the vicinity of the critical point of the system. Based on the generalized exponential potential (GEM) of order…

Soft Condensed Matter · Physics 2025-07-25 Tanmay Biswas , Gerhard Kahl , Gaurav P. Shrivastav

We numerically investigate the dependence of range of attractive potential on the phase separation of 2-D binary systems. Through extensive simulations and analysis, we show that when the range of attractive interactions approaches the…

Computational Physics · Physics 2024-05-14 D. C. Thakur , Jalim Singh , A. V. Anil Kumar

Molecular dynamics simulations are performed to study the [100] and [111] orientations of the crystal-melt interface between an ordered two-component hard sphere with a NaCl structure and its coexisting binary hard-sphere fluid. The…

Chemical Physics · Physics 2009-11-07 Rachel Sibug-Aga , Brian B. Laird

The temporal interface microstructure and diffusion in the diffusion couples with the mutual interactions of temperature gradient, concentration difference and initial aging time of the alloys were studied by phase-field simulation, the…

Materials Science · Physics 2015-08-19 Li Yong-Sheng , Wu Xing-Chao , Liu Wei , Hou Zhi-Yuan , Mei Hao-Jie

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 limit. Convergence tests and comparisons with boundary…

Materials Science · Physics 2009-11-10 R. Folch , M. Plapp

A diffuse-interface model for microstructure with an arbitrary number of components and phases was developed from basic thermodynamic and kinetic principles and formalized within a variational framework. The model includes a composition…

Materials Science · Physics 2011-07-28 Daniel A. Cogswell , W. Craig Carter

Experiments have widely shown that a steady-state lamellar eutectic solidification front is destabilized on a scale much larger than the lamellar spacing by the rejection of a dilute ternary impurity and forms two-phase cells commonly…

Materials Science · Physics 2009-10-31 Mathis Plapp , Alain Karma

Four results associated with the diffuse-interface model (DIM) for contact lines are reported in this paper. First, a boundary condition is derived, which states that the fluid near a solid wall must have a certain density $\rho_{0}$…

Fluid Dynamics · Physics 2021-09-27 E. S. Benilov

A binary colloidal mixture of unequal sizes, subjected to an external potential barrier, has been investigated using canonical ensemble molecular dynamics simulations. The attractive depletion interaction between the external barrier and…

Soft Condensed Matter · Physics 2022-03-11 Mahammad Mustakim , A. V. Anil Kumar

Excitable media, ranging from bioelectric tissues and chemical oscillators to forest fires and competing populations, are nonlinear, spatially extended systems capable of spiking. Most investigations of excitable media consider situations…

Soft Condensed Matter · Physics 2025-07-15 Colin Scheibner , Hillel Ori , Adam E. Cohen , Vincenzo Vitelli

A one-dimensional interacting particle system is said to exhibit interface tightness if starting in an initial condition describing the interface between two constant configurations of different types, the process modulo translations is…

Probability · Mathematics 2018-10-25 Rongfeng Sun , Jan M. Swart , Jinjiong Yu

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

This work extends the Cahn--Larch\'e thermodynamic framework to binary alloys in which two coherent solid phases coexist with an incoherent liquid and investigates how coherency strain energy modifies classical eutectic and peritectic…

Materials Science · Physics 2026-02-18 Samiah Hassan , Jiayang Wang , Teddy Meissner , Pierre A. Deymier , Marat I. Latypov

We study the steady state of a stochastic particle system on a two-dimensional lattice, with particle influx, diffusion and desorption, and the formation of a dimer when particles meet. Surface processes are thermally activated, with…

Statistical Mechanics · Physics 2015-05-30 A. Wolff , I. Lohmar , J. Krug , O. Biham

Thin organic films and two-dimensional (2D) molecular assemblies on solid surfaces yield the potential for applications in molecular electronics, optoelectronics, catalysis, and sensing. These applications rely on the intrinsic electronic…

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

Conventional phase-field models often drive solid-solid interfaces to coalesce when in close proximity. This feature limits their use for processes like diffusion bonding, where the interfaces might need to remain distinct under certain…

Materials Science · Physics 2026-02-20 Maryam Khodadad , Noel Walkington , Suresh Kalyanam , Matteo Pozzi , Kaushik Dayal