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This study addresses microstructure selection mechanisms in rapid solidification, specifically targeting the transition from cellular/dendritic to planar interface morphologies under conditions relevant to additive manufacturing. We use a…

In the present study, a consistent and conservative Phase-Field model is developed to study thermo-gas-liquid-solid flows with liquid-solid phase change. The proposed model is derived with the help of the consistency conditions and exactly…

Computational Physics · Physics 2021-11-16 Ziyang Huang , Guang Lin , Arezoo M. Ardekani

In order to establish the thermodynamic stability of a system, knowledge of its Gibbs free energy is essential. Most often, the Gibbs free energy is predicted within the CALPHAD framework using models employing thermodynamic properties,…

The CALPHAD system of fundamental phase-level databases, now known as the Materials Genome, has enabled a mature technology of computational materials design and qualification that has already met the acceleration goals of the national…

Materials Science · Physics 2023-08-03 G. B Olson , Z. K. Liu

This is an informal overview of methods and results on the QCD phase diagram and lattice termodynamics aimed at specialists in nearby fields.

High Energy Physics - Lattice · Physics 2017-08-23 M. -P. Lombardo

Directional solidification of water-based solutions has emerged as a versatile technique for templating hierarchical porous materials. However, the underlying mechanisms of pattern formation remain incompletely understood. In this work, we…

Materials Science · Physics 2026-03-20 Kaihua Ji , Alain Karma

This paper represents a model for microstructure formation in metallic foams based on the multi-phase-field (MPF) approach. By the use of a no-coalescence boundary condition within this MPF-framework, it is possible to completely prevent…

Computational Physics · Physics 2020-07-13 Samad Vakili , Ingo Steinbach , Fathollah Varnik

In this work, a phase-field model is developed for the dendritic growth with gas bubbles in the solidification of binary alloys. In this model, a total free energy for the complex gas-liquid-dendrite system is proposed through considering…

Fluid Dynamics · Physics 2024-07-03 Chengjie Zhan , Zhenhua Chai , Dongke Sun , Baochang Shi , Shaoning Geng , Ping Jiang

We propose a novel approach for constructing training databases for Machine-Learned Interatomic Potential (MLIP) models, specifically designed to capture phase properties across a wide range of conditions. The framework is uniquely…

Materials Science · Physics 2025-12-03 Vincent G. Fletcher , Albert P. Bartók , Livia B. Pártay

Calculation of phase diagrams is one of the fundamental tools in alloy design---more specifically under the framework of Integrated Computational Materials Engineering. Uncertainty quantification of phase diagrams is the first step required…

Thermofield dynamics (TFD) approach is a real time quantum field method for dealing with finite temperature quantum states in a purified version of usual density operator formalism at finite temperature. In the domain of quantum…

Quantum Physics · Physics 2015-02-13 T. Prudencio , T. M. Rocha Filho , A. E. Santana

Modeling microstructure evolution in electrochemical systems is vital for understanding the mechanism of various electrochemical processes. In this work, we propose a general phase field framework that is fully variational and thus…

Materials Science · Physics 2023-12-12 Jin Zhang , Alexander F. Chadwick , Peter W. Voorhees

We study the Kondo Lattice Model (KLM) on a square lattice through a Hartree-Fock approximation in which the local spins are treated semi-classically, in the sense that their average values are modulated by a magnetic wavevector…

Strongly Correlated Electrons · Physics 2016-10-13 Natanael de Carvalho Costa , José Pimentel de Lima , Raimundo R. dos Santos

We present a novel phase-field model development capability in the open source MOOSE finite element framework. This facility is based on the 'modular free energy' approach in which the phase-field equations are implemented in a general form…

Materials Science · Physics 2017-02-28 Daniel Schwen , Larry K. Aagesen , John W. Peterson , Michael R. Tonks

Multiphase flows with high density ratios, such as water and air flows, have recently been simulated using the lattice Boltzmann (LB) method. This approach corresponds to solving the phase field equations, such as the Cahn-Hilliard and…

Fluid Dynamics · Physics 2025-12-02 H. Otomo , C. Sun , T. Inamuro , W. Li , M. Dressler , H. Chen , Y. Li , R. Zhang

We extend the phase-field approach to model the solidification of faceted materials. Our approach consists of using an approximate gamma-plot with rounded cusps that can approach arbitrarily closely the true gamma-plot with sharp cusps that…

Materials Science · Physics 2009-11-10 Jean-Marc Debierre , Alain Karma , Franck Celestini , Rahma Guerin

As an aid to the development of hydrogen separation membranes, we predict the temperature dependent phase diagrams using first principles calculations combined with thermodynamic principles. Our method models the phase diagram without…

Materials Science · Physics 2014-08-07 William Paul Huhn , Michael Widom , Michael C. Gao

An effective-field method for caculation of thermodynamic properties of three-dimensional lattice spin models is developed. It is applied to the ANNNI model on the simple cubic lattice. The phase diagram of the model, consisting of a large…

Statistical Mechanics · Physics 2007-05-23 Anton Šurda

The formation and dynamics of free-surface structures, such as steps or terraces and their interplay with the phase separation in the bulk are key features of diblock copolymer films. We present a phase-field model with an obstacle…

Computational Physics · Physics 2017-12-06 Quentin Parsons , David Kay , Andreas Münch

We use high-temperature series expansions to obtain thermodynamic properties of the quantum compass model, and to investigate the phase transition on the square and simple cubic lattices. On the square lattice we obtain evidence for a phase…

Strongly Correlated Electrons · Physics 2016-11-25 J. Oitmaa , C. J. Hamer