Stability and error estimates of the SAV Fourier-spectral method for the phase field crystal equation
Sign Up to like & getrecommendations! 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
Sign Up to like & getrecommendations! 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
Sign Up to like & getrecommendations! 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
Sign Up to like & getrecommendations! 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.
Sign Up to like & getrecommendations! 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
Phase field crystal simulation of crack propagation based on a symmetry mode
Sign Up to like & getrecommendations! 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
A phase-field-crystal alloy model for late-stage solidification studies involving the interaction of solid, liquid and gas phases
Sign Up to like & getrecommendations! 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.
Sign Up to like & getrecommendations! 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
Two-dimensional localized states in an active phase-field-crystal model.
Sign Up to like & getrecommendations! Published in 2021 at "Physical review. E"
DOI: 10.1103/physreve.103.032601
Abstract: The active phase-field-crystal (active PFC) model provides a simple microscopic mean field description of crystallization in active systems. It combines the PFC model (or conserved Swift-Hohenberg equation) of colloidal crystallization and aspects of the Toner-Tu… read more here.
Keywords: active phase; field crystal; model; phase field ... See more keywords
Phase-field-crystal model for ordered crystals.
Sign Up to like & getrecommendations! Published in 2017 at "Physical Review E"
DOI: 10.1103/physreve.95.022105
Abstract: We describe a general method to model multicomponent ordered crystals using the phase-field-crystal (PFC) formalism. As a test case, a generic B2 compound is investigated. We are able to produce a line of either first-order… read more here.
Keywords: field; phase field; ordered crystals; crystal model ... See more keywords
A phase field crystal model simulation of morphology evolution and misfit dislocation generation in nanoheteroepitaxy
Sign Up to like & getrecommendations! Published in 2017 at "Modern Physics Letters B"
DOI: 10.1142/s0217984917502839
Abstract: A phase field crystal (PFC) model is employed to study morphology evolution of nanoheteroepitaxy and misfit dislocation generation when applied with enhanced supercooling, lattice mismatch and substrate vicinal angle conditions. Misfit strain that rises due… read more here.
Keywords: dislocation generation; morphology evolution; phase field; misfit dislocation ... See more keywords