128 citations · 509 across the 11 of their papers we have counts for
9 papers · 1 filter
Phase-field modeling of biomineralization in mollusks and corals: Microstructure vs. formation mechanism
László Gránásy, László Rátkai, Gyula I. Tóth +3
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 inv…
Phase-field modeling of crystal nucleation in undercooled liquids -- A review
László Gránásy, Gyula I. Tóth, James A. Warren +4
We review how phase-field models contributed to the understanding of various aspects of crystal nucleation including homogeneous and heterogeneous processes, and their role in micr…
Crystallization: Colloidal suspense
László Gránásy, Gyula I. Tóth
According to classical nucleation theory, a crystal grows from a small nucleus that already bears the symmetry of its end phase - but experiments with colloids now reveal that, fro…
Free energy of the bcc-liquid interface and the Wulff shape as predicted by the Phase-Field Crystal model
Frigyes Podmaniczky, Gyula I. Tóth, Tamás Pusztai +1
The Euler-Lagrange equation of the phase-field crystal (PFC) model has been solved under appropriate boundary conditions to obtain the equilibrium free energy of the body centered…
Beyond the Ginzburg-Landau theory of freezing: Anisotropy of the interfacial free energy in the Phase-Field Crystal model
Gyula I. Tóth, Nikolas Provatas
This paper re-visits the weakly fourth order anisotropic Ginzburg-Landau (GL) theory of freezing. First we determine the anisotropy of the interfacial free energy in the Phase-Fiel…
Amorphous nucleation precursor in highly nonequilibrium fluids
Gyula I. Tóth, Tamás Pusztai, György Tegze +2
Dynamical density functional simulations reveal structural aspects of crystal nucleation in undercooled liquids: the first appearing solid is amorphous, which promotes the nucleati…
Polymorphism, crystal nucleation and growth in the phase-field crystal model in 2d and 3d
Gyula I. Tóth, György Tegze, Tamás Pusztai +1
We apply a simple dynamical density functional theory, the phase-field crystal (PFC) model of overdamped conservative dynamics, to address polymorphism, crystal nucleation, and cry…
Phase-field crystal modelling of crystal nucleation, heteroepitaxy and patterning
László Gránásy, György Tegze, Gyula I. Tóth +1
We apply a simple dynamical density functional theory, the phase-field-crystal (PFC) model, to describe homogeneous and heterogeneous crystal nucleation in 2d monodisperse colloida…
Phase-field approach to polycrystalline solidification including heterogeneous and homogeneous nucleation
Tamás Pusztai, György Tegze, Gyula I. Tóth +4
Advanced phase-field techniques have been applied to address various aspects of polycrystalline solidification including different modes of crystal nucleation. The height of the nu…