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We develop and analyse the first second-order phase-field model to combine melting and dissolution in multi-component flows. This provides a simple and accurate way to simulate challenging phase-change problems in existing codes.…

Computational Physics · Physics 2020-12-09 Eric W. Hester , Louis-Alexandre Couston , Benjamin Favier , Keaton J. Burns , Geoffrey M. Vasil

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

We present a phase field-based electro-chemo-mechanical formulation for modelling mechanics-enhanced corrosion and hydrogen-assisted cracking in elastic-plastic solids. A multi-phase-field approach is used to present, for the first time, a…

Materials Science · Physics 2022-06-22 C. Cui , R. Ma , E. Martínez-Pañeda

We describe here in detail the recently introduced methodology for simulation of structural transitions in crystals. The applications of the new scheme are illustrated on various kinds of crystals and the advantages with respect to previous…

Materials Science · Physics 2007-05-23 R. Martonak , A. Laio , M. Bernasconi , C. Ceriani , P. Raiteri , M. Parrinello

The phase field fracture method has emerged as a promising computational tool for modelling a variety of problems including, since recently, hydrogen embrittlement and stress corrosion cracking. In this work, we demonstrate the potential of…

Applied Physics · Physics 2020-11-17 P. K. Kristensen , C. F. Niordson , E. Martínez-Pañeda

This work presents a consistent formulation of the structural phase-field-crystal model of substitutional binary alloys that allows for the description phases of unequal densities, a key feature in solidification. We further develop the…

Materials Science · Physics 2020-09-02 Matthew J. Frick , Nana Ofori-Opoku , Nikolas Provatas

The bi-continuum model composed of two interpenetrating and dynamically coupled material continua is analysed as a simplified but relatively accurate way to describe some physical phenomena in crystalline solids. The essential novelty of…

Materials Science · Physics 2007-05-23 M. Sztyren

We propose a computationally-efficient approach to multiscale simulation of polycrystalline materials, based on the phase field crystal (PFC) model. The order parameter describing the density profile at the nanoscale is reconstructed from…

Materials Science · Physics 2009-11-11 Nigel Goldenfeld , Badrinarayan P. Athreya , Jonathan A. Dantzig

We apply variational principles from statistical physics and the Landau theory of phase transitions to multicomponent alloys using the multiple-scattering theory of Korringa-Kohn-Rostoker (KKR) and the coherent potential approximation…

Materials Science · Physics 2016-02-24 Suffian N. Khan , J. B. Staunton , G. M. Stocks

In this article, we discuss the stability of soft quasicrystalline phases in a coupled-mode Swift-Hohenberg model for three-component systems, where the characteristic length scales are governed by the positive-definite gradient terms.…

Soft Condensed Matter · Physics 2016-04-20 Kai Jiang , Jiajun Tong , Pingwen Zhang

Hydrogen-induced multi-spot corrosion on the surface of polycrystalline rare metals is a complex process, which involves the interactions between phases (metal, hydride and oxide), grain orientations, grain boundaries, and corrosion spots.…

A percolation model is proposed to explain the structural phase transitions found in Li$_{1-x}$H$_x$IO$_3$ mixed crystals as a function of the concentration parameter $x$. The percolation thresholds are obtained from Monte Carlo simulations…

Statistical Mechanics · Physics 2009-11-10 P. H. L. Martins , J. A. Plascak , M. A. Pimenta

The simulations of the solidification of ternary Al-Cu-Ni alloys by means of a general multi-phase-field model for an arbitrary number of phases reveal that the real microstructure can be generated by coupling the real thermodynamic…

Materials Science · Physics 2013-07-15 J. Kundin , E. Pogorelov , H. Emmerich

By means of the principle of minimal sensitivity we generalize the microcanonical inflection-point analysis method by probing derivatives of the microcanonical entropy for signals of transitions in complex systems. A strategy of…

Statistical Mechanics · Physics 2018-05-04 Kai Qi , Michael Bachmann

Spin-crossover has a wide range of applications from memory devices to sensors. This has to do mainly with the nature of the transition, which may be abrupt, gradual or incomplete and may also present hysteresis. This transition alters the…

Strongly Correlated Electrons · Physics 2019-07-10 J. Quetzalcoatl Toledo-Marin , Carlos Rodriguez , Yosdel Plasencia Montesino , Gerardo G. Naumis

The aim of these notes is to give a quick introduction to FK-percolation, focusing on certain recent results about the phase transition of the two dimensional model, namely its continuity or discontinuity depending on the cluster weight…

Probability · Mathematics 2025-03-04 Ioan Manolescu

We introduce a continuous modeling approach which combines elastic responds of the trabecular bone structure, the concentration of signaling molecules within the bone and a mechanism how this concentration at the bone surface is used for…

Tissues and Organs · Quantitative Biology 2017-11-21 S. Aland , F. Stenger , R. Müller , M. Kampschulte , A. C. Langheinrich , T. El Khassawna , C. Heiß , A. Dreutsch , A. Voigt

This article presents a multi-phase-field poromechanics model that simulates the growth and thaw of ice lenses and the resultant frozen heave and thaw settlement in multi-constituent frozen soils. In this model, the growth of segregated ice…

Geophysics · Physics 2022-08-24 Hyoung Suk Suh , WaiChing Sun

Introducing foreign ions, atoms, or molecules into emerging functional materials is crucial for manipulating material physical properties and innovating device applications. The intercalation of emerging new materials can induce multiple…

Applied Physics · Physics 2024-10-15 Xin He , Hua Wang , Jian Sun , Xixiang Zhang , Kai Chang , Fei Xue

Modeling the atomic structure of amorphous materials has long been a critical challenge in materials science. Recent advances in monolayer amorphous materials enable direct observation of their atomic structures, paving the way for a better…

Materials Science · Physics 2026-05-05 Le-Ye Zhu , Xi Zhang , Yun-Peng Wang , Jieheng Shi , Junwei Zhang , Shixuan Du , Yu-Yang Zhang
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