scholarly journals On a phase field model for solid-liquid phase transitions

2012 ◽  
Vol 32 (6) ◽  
pp. 1997-2025 ◽  
Author(s):  
Sylvie Benzoni-Gavage ◽  
◽  
Laurent Chupin ◽  
Didier Jamet ◽  
Julien Vovelle ◽  
...  
Keyword(s):  
Phase Transitions ◽  
Liquid Phase ◽  
Phase Field ◽  
Field Model ◽  
Phase Field Model ◽  
Solid Liquid

A phase field model for a solid–liquid phase transition

2011 ◽  
Vol 38 (7) ◽  
pp. 477-480 ◽  
Author(s):  
Michele Ciarletta ◽  
Mauro Fabrizio ◽  
Vincenzo Tibullo
Keyword(s):  
Phase Transition ◽  
Liquid Phase ◽  
Phase Field ◽  
Field Model ◽  
Phase Field Model ◽  
Liquid Phase Transition ◽  
Solid Liquid

Phase field model for dendritic growth with impurities

2017 ◽  
Vol 28 (08) ◽  
pp. 1750105
Author(s):  
F. L. O. Rodrigues ◽  
M. P. Almeida ◽  
Raimundo N. Costa Filho
Keyword(s):  
Liquid Phase ◽  
Phase Field ◽  
Dendritic Growth ◽  
Field Model ◽  
Solid Phase ◽  
Phase Field Model ◽  
Square Lattice ◽  
A Site ◽  
Solid Liquid Interface ◽  
Solid Liquid

A phase field model is used to study dendritic growth in a media with impurities. The model consists of a square lattice where a parameter [Formula: see text] can take values between [Formula: see text] and [Formula: see text] at each site. A site is in the solid phase for [Formula: see text], in the liquid phase for [Formula: see text], and the solid-liquid interface is expressed by [Formula: see text]. A fraction of the sites are considered impurities that cannot be solidified, i.e. [Formula: see text] is fixed and taken as zero. These impurities are distributed randomly. As the probability [Formula: see text] of impure sites in the lattice increases, the growth loses its dendritic characteristic. It is shown that the perimeter of the growing solid goes from quadratic to a linear function with time. It was also found that as the probability of impurities reaches [Formula: see text], the solid undergoes a transition from anisotropic to isotropic growth.

scholarly journals A phase field model for liquid-vapour phase transitions

2013 ◽  
Vol 6 (2) ◽  
pp. 317-330
Author(s):  
Valeria Berti ◽  
◽  
Mauro Fabrizio ◽  
Diego Grandi
Keyword(s):  
Phase Transitions ◽  
Phase Field ◽  
Field Model ◽  
Phase Field Model ◽  
Vapour Phase

Modified phase-field-crystal model for solid-liquid phase transitions

2015 ◽  
Vol 92 (1) ◽  
Author(s):  
Can Guo ◽  
Jincheng Wang ◽  
Zhijun Wang ◽  
Junjie Li ◽  
Yaolin Guo ◽  
...  
Keyword(s):  
Phase Transitions ◽  
Liquid Phase ◽  
Phase Field ◽  
Crystal Model ◽  
Solid Liquid ◽  
Phase Field Crystal
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