scholarly journals Phase field theory of interfaces and crystal nucleation in a eutectic system of fcc structure: II. Nucleation in the metastable liquid immiscibility region

2007 ◽  
Vol 127 (7) ◽  
pp. 074710 ◽  
Author(s):  
Gyula I. Tóth ◽  
László Gránásy
Keyword(s):  
Field Theory ◽  
Phase Field ◽  
Liquid Immiscibility ◽  
Crystal Nucleation ◽  
Eutectic System ◽  
Metastable Liquid ◽  
Immiscibility Region ◽  
Fcc Structure

Calculation of metastable immiscibility region in the Al2O3–SiO2 system

1996 ◽  
Vol 11 (6) ◽  
pp. 1421-1427 ◽  
Author(s):  
Takayuki Ban ◽  
Shigeo Hayashi ◽  
Atsuo Yasumori ◽  
Kiyoshi Okada
Keyword(s):  
Phase Separation ◽  
Phase Diagrams ◽  
Regular Solution ◽  
Regular Solution Model ◽  
Liquid Immiscibility ◽  
Miscibility Gap ◽  
Stable Phase ◽  
Liquidus Data ◽  
Metastable Liquid ◽  
Immiscibility Region

Metastable liquid-liquid immiscibility region in the Al2O3–SiO2 system was calculated by a regular solution model using three sets of liquidus data from the stable phase diagrams reported. These calculations indicated that the immiscibility region was richer in Al2O3 composition than those reported before. A miscibility gap calculated using the liquidus data reported by Klug et al. [F. J. Klug, S. Prochazka, and R. H. Doremus, J. Am. Ceram. Soc. 70, 750 (1987)] (model A) ranged from 2.6 to 71 mol % Al2O3 at around 1000 °C, which was the most compatible result with the idea that metastable pseudotetragonal mullite crystallized at around 1000 °C became Al2O3-rich composition due to the immiscibility phase separation before mullitization among three sets of liquidus data.

scholarly journals Phase field theory of crystal nucleation in hard sphere liquid

2003 ◽  
Vol 119 (19) ◽  
pp. 10376-10382 ◽  
Author(s):  
László Gránásy ◽  
Tamás Pusztai ◽  
Gyula Tóth ◽  
Zoltán Jurek ◽  
Massimo Conti ◽  
...  
Keyword(s):  
Field Theory ◽  
Phase Field ◽  
Hard Sphere ◽  
Crystal Nucleation ◽  
Hard Sphere Liquid

Crystal nucleation and growth in binary phase-field theory

2002 ◽  
Vol 237-239 ◽  
pp. 1813-1817 ◽  
Author(s):  
László Gránásy ◽  
Tamás Börzsönyi ◽  
Tamás Pusztai
Keyword(s):  
Field Theory ◽  
Phase Field ◽  
Nucleation And Growth ◽  
Crystal Nucleation ◽  
Binary Phase

Phase field theory of crystal nucleation and polycrystalline growth: A review

2006 ◽  
Vol 21 (2) ◽  
pp. 309-319 ◽  
Author(s):  
L. Gránásy ◽  
T. Pusztai ◽  
T. Börzsönyi ◽  
G. Tóth ◽  
G. Tegze ◽  
...  
Keyword(s):  
Field Theory ◽  
Molecular Dynamics ◽  
Phase Field ◽  
Growth Front ◽  
Growth Patterns ◽  
Crystal Nucleation ◽  
Model Parameters ◽  
Nucleation Barrier ◽  
Broad Variety ◽  
Long Timescales

We briefly review our recent modeling of crystal nucleation and polycrystalline growth using a phase field theory. First, we consider the applicability of phase field theory for describing crystal nucleation in a model hard sphere fluid. It is shown that the phase field theory accurately predicts the nucleation barrier height for this liquid when the model parameters are fixed by independent molecular dynamics calculations. We then address various aspects of polycrystalline solidification and associated crystal pattern formation at relatively long timescales. This late stage growth regime, which is not accessible by molecular dynamics, involves nucleation at the growth front to create new crystal grains in addition to the effects of primary nucleation. Finally, we consider the limit of extreme polycrystalline growth, where the disordering effect due to prolific grain formation leads to isotropic growth patterns at long times, i.e., spherulite formation. Our model of spherulite growth exhibits branching at fixed grain misorientations, induced by the inclusion of a metastable minimum in the orientational free energy. It is demonstrated that a broad variety of spherulitic patterns can be recovered by changing only a few model parameters.

scholarly journals Phase Field Theory of Heterogeneous Crystal Nucleation

2007 ◽  
Vol 98 (3) ◽  
Author(s):  
László Gránásy ◽  
Tamás Pusztai ◽  
David Saylor ◽  
James A. Warren
Keyword(s):  
Field Theory ◽  
Phase Field ◽  
Crystal Nucleation

Nucleation and Bulk Crystallization in Binary Phase Field Theory

2002 ◽  
Vol 88 (20) ◽  
Author(s):  
László Gránásy ◽  
Tamás Börzsönyi ◽  
Tamás Pusztai
Keyword(s):  
Field Theory ◽  
Phase Field ◽  
Bulk Crystallization ◽  
Binary Phase

scholarly journals Mean Curvature, Threshold Dynamics, and Phase Field Theory on Finite Graphs

2013 ◽  
Author(s):  
Yves van Gennip ◽  
Nestor Guillen ◽  
Braxton Osting ◽  
Andrea L. Bertozzi
Keyword(s):  
Field Theory ◽  
Phase Field ◽  
Mean Curvature ◽  
Threshold Dynamics ◽  
Finite Graphs
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