543 citations · 1.7k across the 20 of their papers we have counts for
21 papers
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…
On topological defects in two-dimensional orientation-field models for grain growth
Bálint Korbuly, Mathis Plapp, Hervé Henry +3
Standard two-dimensional orientation-field based phase-field models rely on a continuous scalar field to represent crystallographic orientation. The corresponding order parameter s…
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…
Grain coarsening in two-dimensional phase-field models with an orientation field
Balint Korbuly, Tamas Pusztai, Herve Henry +3
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 c…
Consistent multiphase-field theory for interface driven multidomain dynamics
Gyula I. Toth, Tamas Pusztai, Laszlo Granasy
We present a new multiphase-field theory for describing pattern formation in multi-domain and/or multi-component systems. The construction of the free energy functional and the dyn…
Ternary eutectic dendrites: Pattern formation and scaling properties
László Rátkai, Attila Szállás, Tamás Pusztai +2
Extending previous work [T. Pusztai, L. Rátkai, A. Szállás, and L. Gránásy, Phys. Rev. E {\bf 87}, 032402 (2013)], we have studied the formation of eutectic dendrites in a model te…