László Gránásy
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View article: Physical Phenomena Governing Mineral Morphogenesis in Molluscan Nacre
Physical Phenomena Governing Mineral Morphogenesis in Molluscan Nacre Open
Mollusks, as well as many other living organisms, have the ability to shape mineral crystals into unconventional morphologies and to assemble them into complex functional mineral–organic structures, an observation that inspired tremendous …
View article: Phase-field lattice Boltzmann model of growth and buoyancy driven motion of dendritic particles: the effect of Coriolis force
Phase-field lattice Boltzmann model of growth and buoyancy driven motion of dendritic particles: the effect of Coriolis force Open
A phase-field lattice Boltzmann (PFLB) model we developed recently (Rátkai L, Pusztai T and Gránásy L 2019 npj Comput. Mater. 5 113) was adapted to investigate the effect of Coriolis force on the solidification morphology forming in a cent…
View article: Thermodynamics, formation dynamics, and structural correlations in the bulk amorphous phase of the phase-field crystal model
Thermodynamics, formation dynamics, and structural correlations in the bulk amorphous phase of the phase-field crystal model Open
We investigate bulk thermodynamic and microscopic structural properties of amorphous solids in the framework of the phase-field crystal (PFC) model. These are metastable states with a non-uniform density distribution, having no long-range …
View article: Thermodynamics, formation dynamics and structural correlations in the bulk amorphous phase of the phase-field crystal model
Thermodynamics, formation dynamics and structural correlations in the bulk amorphous phase of the phase-field crystal model Open
We investigate bulk thermodynamic and microscopic structural properties of amorphous solids in the framework of the phase-field crystal (PFC) model. These are metastable states with a non-uniform density distribution having no long-range o…
View article: Molecular scale hydrodynamic theory of crystal nucleation and polycrystalline growth
Molecular scale hydrodynamic theory of crystal nucleation and polycrystalline growth Open
We present recent advances in phase-field crystal (PFC) modeling of crystal nucleation in simple undercooled liquids, where dynamics is based on hydrodynamic density relaxation, as opposed to the diffusive dynamics in colloid systems. Here…
View article: Phase-field modelling of directional melting of lamellar and rod eutectic structures
Phase-field modelling of directional melting of lamellar and rod eutectic structures Open
The melting of 2D lamellar and 3D rod eutectic structures was studied by multi-phase-field simulations. A binary model eutectic system was investigated in a standard directional solidification setup. Switching from solidification to meltin…
View article: Phase-Field Modeling of Biomineralization in Mollusks and Corals: Microstructure vs Formation Mechanism
Phase-Field Modeling of Biomineralization in Mollusks and Corals: Microstructure vs Formation Mechanism Open
While biological crystallization processes have been studied on the microscale extensively, models addressing the mesoscale aspects of such phenomena are rare. In this work, we investigate whether the phase-field theory developed in materi…
View article: Nucleation and Post-Nucleation Growth in Diffusion-Controlled and Hydrodynamic Theory of Solidification
Nucleation and Post-Nucleation Growth in Diffusion-Controlled and Hydrodynamic Theory of Solidification Open
Two-step nucleation and subsequent growth processes were investigated in the framework of the single mode phase-field crystal model combined with diffusive dynamics (corresponding to colloid suspensions) and hydrodynamical density relaxati…
View article: Nucleation and growth of spherulites in coral skeletons, aspirin, chocolate
Nucleation and growth of spherulites in coral skeletons, aspirin, chocolate Open
Spherulites are radial distributions of acicular crystals, common in biogenic, geologic, and synthetic systems [1], yet exactly how spherulites nucleate and grow is still poorly understood.To investigate these processes, as a model system …
View article: Orientational order in dense suspensions of elliptical particles in the non-Stokesian regime
Orientational order in dense suspensions of elliptical particles in the non-Stokesian regime Open
Suspensions of neutrally buoyant elliptic particles are modeled in 2D using fully resolved simulations that provide two-way interaction between the particle and the fluid medium.
View article: Phase-field lattice Boltzmann model for dendrites growing and moving in melt flow
Phase-field lattice Boltzmann model for dendrites growing and moving in melt flow Open
The phase-field and lattice Boltzmann methods have been combined to simulate the growth of solid particles moving in melt flow. To handle mobile particles, an overlapping multigrid scheme was developed, in which each individual particle ha…
View article: Crystal growth kinetics as an architectural constraint on the evolution of molluscan shells
Crystal growth kinetics as an architectural constraint on the evolution of molluscan shells Open
Significance Using notions from classic materials science, we expand our understanding of the macroscopic morphospace of possible molluscan shell shapes to the level of possible ultrastructures that comprise them. This provides us with a u…
View article: Topological defects in two-dimensional orientation-field models for grain growth
Topological defects in two-dimensional orientation-field models for grain growth Open
Standard two-dimensional orientation-field-based phase-field models rely on a continuous scalar field to represent crystallographic orientation. The corresponding order parameter space is the unit circle, which is not simply connected. Thi…
View article: Grain coarsening in two-dimensional phase-field models with an orientation field
Grain coarsening in two-dimensional phase-field models with an orientation field Open
In the literature, contradictory results have been published regarding the form of the limiting (long-time) grain size distribution (LGSD) that characterizes the late stage grain coarsening in two-dimensional and quasi-two-dimensional poly…
View article: Hydrodynamic theory of freezing: Nucleation and polycrystalline growth
Hydrodynamic theory of freezing: Nucleation and polycrystalline growth Open
Structural aspects of crystal nucleation in undercooled liquids are explored using a nonlinear hydrodynamic theory of crystallization proposed recently [G. I. Tóth et al., J. Phys.: Condens. Matter 26, 055001 (2014)JCOMEL0953-898410.1088/0…
View article: Investigating Nucleation Using the Phase-Field Method
Investigating Nucleation Using the Phase-Field Method Open
This paper was published in the Journal of the Indian Institute of Science and the definitive version can be found: http://journal.library.iisc.ernet.in/index.php/iisc/article/view/4618
View article: Consistent multiphase-field theory for interface driven multidomain dynamics
Consistent multiphase-field theory for interface driven multidomain dynamics Open
We present a new multiphase-field theory for describing pattern formation in\nmulti-domain and/or multi-component systems. The construction of the free\nenergy functional and the dynamic equations is based on criteria that ensure\nmathemat…