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Related papers: The YAPFI phase-field implementation

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We present a non-diagonal phase field model for phase transformations with unequal but finite diffusivities in the two phases. This model allows to recover the desired boundary conditions at the interface, and especially the elimination of…

Materials Science · Physics 2017-06-28 G. Boussinot , Efim A. Brener , C. Hueter , R. Spatschek

We present a continuum theory to describe elastically induced phase transitions between coherent solid phases. In the limit of vanishing elastic constants in one of the phases, the model can be used to describe fracture on the basis of the…

Materials Science · Physics 2009-11-13 R. Spatschek , C. Mueller-Gugenberger , E. Brener , B. Nestler

We briefly review the state-of-the-art in phase-field modeling of microstructure evolution. The focus is placed on recent applications of phase-field simulations of solid-state microstructure evolution and solidification that have been…

Materials Science · Physics 2021-10-14 D. Tourret , H. Liu , J. LLorca

The Alpha version of the Fermi-Pasta-Ulam problem is revisited through direct numerical simulations and an application of weak turbulence theory. The energy spectrum, initialized with a large scale excitation, is traced through a series of…

Chaotic Dynamics · Physics 2007-05-23 Joseph A. Biello , Peter R. Kramer , Yury Lvov

We describe a general phase-field model for hyperelastic multiphase materials. The model features an elastic energy functional that depends on the phase-field variable and a surface energy term that depends in turn on the elastic…

Analysis of PDEs · Mathematics 2020-05-13 Diego Grandi , Martin Kružík , Edoardo Mainini , Ulisse Stefanelli

We propose an effective field theory (EFT) of fractional quantum Hall systems near the filling fraction $\nu=5/2$ that flows to pertinent IR candidate phases, including non-abelian Pfaffian, anti-Pfaffian, and particle-hole Pfaffian states…

Strongly Correlated Electrons · Physics 2020-11-17 Po-Shen Hsin , Ying-Hsuan Lin , Natalie M. Paquette , Juven Wang

The process of programmed cell death, namely apoptosis, is a natural mechanism that regulates healthy tissue, multicellular structures, and homeostasis. An improved understanding of apoptosis can significantly enhance our knowledge of…

Cell Behavior · Quantitative Biology 2026-03-12 Daniel A. Vaughan , Anna M. Piccinini , Mischa Zelzer , Etienne Farcot , Bindi S. Brook , Kris Van-der-Zee , Luis Espath

Phase field modelling offers an extremely general framework to predict microstructural evolutions in complex systems. However, its computational implementation requires a discretisation scheme with a grid spacing small enough to preserve…

Computational Physics · Physics 2018-07-18 Alphonse Finel , Yann Le Bouar , Benoît Dabas , Benoît Appolaire

Applications of deep learning to physical simulations such as Computational Fluid Dynamics have recently experienced a surge in interest, and their viability has been demonstrated in different domains. However, due to the highly complex,…

Machine Learning · Computer Science 2025-03-19 Giuseppe Bruni , Sepehr Maleki , Senthil K. Krishnababu

The grain boundary (GB) microchemistry and precipitation behaviour in high-strength Al-Zn-Mg-Cu alloys has an important influence on their mechanical and electrochemical properties. Simulation of the GB segregation, precipitation, and…

A diffused-interface approach based on the Allen-Cahn phase field equation is developed within a high-order Discontinuous Galerkin framework. The interface capturing technique is based on the balance between explicit diffusion and…

Fluid Dynamics · Physics 2023-06-09 Niccolò Tonicello , Matthias Ihme

We present a complete set of Fortran 90 modules that can be used to write very compact, efficient, and high level QCD programs. The modules define fields (gauge, fermi, generators, complex, and real fields) as abstract data types, together…

High Energy Physics - Lattice · Physics 2009-10-28 I. Dasgupta , A. R. Levi , V. Lubicz , C. Rebbi

We present a derivation of the sharp-interface limit of a generic fluctuating phase-field model for solidification. As a main result, we obtain a sharp-interface projection which presents noise terms in both the diffusion equation and in…

Materials Science · Physics 2016-08-16 R. Benítez , L. Ramírez-Piscina

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

A thermodynamic approach to rapid phase transformations within a diffuse interface in a binary system is developed. Assuming an extended set of independent thermodynamic variables formed by the union of the classic set of slow variables and…

Materials Science · Physics 2009-11-10 Peter Galenko , David Jou

This paper presents an overview of the theories and computer implementation aspects of phase field models (PFM) of fracture. The advantage of PFM over discontinuous approaches to fracture is that PFM can elegantly simulate complicated…

Geophysics · Physics 2023-09-11 X. Zhuang , S. Zhou , G. D. Huynh , P. Areias , T. Rabczuk

Exact characterization of phase transitions requires sufficient configurational sampling, necessitating efficient and accurate potential energy surfaces. Molecular force fields with computational efficiency and physical interpretability are…

Statistical Mechanics · Physics 2025-10-21 Bin Jin , Bin Han , Wei Feng , Kuang Yu , Shenzhen Xu

A reduced 1D model describing the non-linear hybrid LIGKA/HAGIS simulations was developed and successfully tested in [Carlevaro et al. PPCF 64, 035010 (2022)] addressing the ITER 15MA baseline scenario. In this paper, we introduce a…

Plasma Physics · Physics 2024-09-20 Nakia Carlevaro , Matteo V. Falessi , Giovanni Montani , Philipp Lauber

Phase-field methods have long been used to model the flow of immiscible fluids. Their ability to naturally capture interface topological changes is widely recognized, but their accuracy in simulating flows of real fluids in practical…

Fluid Dynamics · Physics 2019-06-10 Baofang Song , Carlos Plana , Jose M. Lopez , Marc Avila

As phase-field modeling (PFM) is booming across various disciplines and has been proven fitted for numerically modeling interfacial problems, we aim at taking a step back to revisit its fundamental validity, in the light of non-equilibrium…

Statistical Mechanics · Physics 2019-07-09 Alexandre Guevel , Hadrien Rattez , Sotiris Alevizos , Manolis Veveakis