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   Articles with "field crystal" as a keyword



Stability and error estimates of the SAV Fourier-spectral method for the phase field crystal equation

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recommendations! Published in 2020 at "Advances in Computational Mathematics"

DOI: 10.1007/s10444-020-09789-9

Abstract: We consider fully discrete schemes based on the scalar auxiliary variable (SAV) approach and stabilized SAV approach in time and the Fourier-spectral method in space for the phase field crystal (PFC) equation. Unconditionally, energy stability… read more here.

Keywords: fourier spectral; phase field; spectral method; field crystal ... See more keywords

On efficient numerical schemes for a two-mode phase field crystal model with face-centered-cubic (FCC) ordering structure

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recommendations! Published in 2019 at "Applied Numerical Mathematics"

DOI: 10.1016/j.apnum.2019.06.017

Abstract: Abstract In this paper, we consider time marching numerical schemes to solve a two-mode phase field crystal model with face-centered-cubic ordering. We propose two type, linear, and unconditionally energy stable schemes by combining the recently… read more here.

Keywords: two mode; numerical schemes; field crystal; phase field ... See more keywords

Plasticity and phase transition of crystals under continuous deformations by phase field crystal approach

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recommendations! Published in 2019 at "International Journal of Plasticity"

DOI: 10.1016/j.ijplas.2019.07.004

Abstract: Abstract Despites of some efforts in deformation simulations by the Phase field crystal (PFC) method, simulations of phase transitions and plasticity of crystals under continuous deformations are still lack and some related fundamental issues remain… read more here.

Keywords: plasticity; method; field crystal; continuous deformations ... See more keywords

Phase field crystal modeling of grain boundary structures and growth in polycrystalline graphene

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recommendations! Published in 2018 at "Journal of the Mechanics and Physics of Solids"

DOI: 10.1016/j.jmps.2017.12.013

Abstract: Abstract A key challenge in large-scale graphene fabrication and application is controlling the grain boundaries (GBs) in polycrystalline graphene grown by chemical vapor deposition (CVD). Here, we adopt a phase field crystal (PFC) model to… read more here.

Keywords: grain; polycrystalline graphene; phase field; field crystal ... See more keywords

Exploring bifurcations in Bose-Einstein condensates via phase field crystal models.

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recommendations! Published in 2022 at "Chaos"

DOI: 10.1063/5.0101401

Abstract: To facilitate the analysis of pattern formation and the related phase transitions in Bose-Einstein condensates, we present an explicit approximate mapping from the nonlocal Gross-Pitaevskii equation with cubic nonlinearity to a phase field crystal (PFC)… read more here.

Keywords: phase; phase field; field crystal; bose einstein ... See more keywords
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Phase field crystal simulation of crack propagation based on a symmetry mode

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recommendations! Published in 2021 at "Modelling and Simulation in Materials Science and Engineering"

DOI: 10.1088/1361-651x/ac1f85

Abstract: Phase field crystal models have been extensively employed to investigate solidification process of melt, solid-state precipitation, crack propagation, reconstructive phase transitions and thermomechanical process. However, the models suggested in literatures have little consideration on the… read more here.

Keywords: simulation; field crystal; phase field; phase ... See more keywords

OpenPFC: an open-source framework for high performance 3D phase field crystal simulations

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recommendations! Published in 2024 at "Modelling and Simulation in Materials Science and Engineering"

DOI: 10.1088/1361-651x/ad269e

Abstract: We present OpenPFC (https://github.com/VTT-ProperTune/OpenPFC), a state-of-the-art phase field crystal (PFC) simulation platform designed to be scalable for massive high-performance computation environments. OpenPFC can efficiently handle large-scale simulations, as demonstrated by our strong and weak scaling… read more here.

Keywords: field; field crystal; phase field; high performance ... See more keywords

A non-isothermal phase-field crystal model with lattice expansion: analysis and benchmarks

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recommendations! Published in 2024 at "Modelling and Simulation in Materials Science and Engineering"

DOI: 10.1088/1361-651x/ada784

Abstract: We introduce a non-isothermal phase-field crystal model including heat flux and thermal expansion of the crystal lattice. The fundamental thermodynamic relation between internal energy and entropy, as well as entropy production, is derived analytically and… read more here.

Keywords: phase field; isothermal phase; model; expansion ... See more keywords

pyPFC: An Open-Source Python Package for Phase Field Crystal Simulations

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recommendations! Published in 2025 at "Modelling and Simulation in Materials Science and Engineering"

DOI: 10.1088/1361-651x/ae2599

Abstract: pyPFC is a comprehensive open-source Python package for setting up, running and analyzing 3D phase field crystal (PFC) simulations. The object-oriented code is designed to take full advantage of GPU acceleration, but can also be… read more here.

Keywords: phase field; open source; python package; package ... See more keywords

A phase-field-crystal alloy model for late-stage solidification studies involving the interaction of solid, liquid and gas phases

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recommendations! Published in 2018 at "Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences"

DOI: 10.1098/rsta.2017.0212

Abstract: We present a multiphase binary alloy phase-field-crystal model. By introducing density difference between solid and liquid into a previous alloy model, this new fusion leads to a practical tool that can be used to investigate… read more here.

Keywords: phase field; solidification; model; field crystal ... See more keywords

Phase-field crystal for an antiferromagnet with elastic interactions.

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recommendations! Published in 2019 at "Physical review. E"

DOI: 10.1103/physreve.100.022128

Abstract: We introduce a model which contains the essential elements to formulate and study antiferromagnetism, using the phase-field crystal framework. We focus on the question of how magneto-elastic coupling could lift the frustration in the two-dimensional… read more here.

Keywords: field; crystal antiferromagnet; field crystal; phase field ... See more keywords