%0 Journal Article %1 WOS:000410524200007 %A Rodrigues, F L O %A Almeida, M P %A Filho, Raimundo N Costa %C 5 TOH TUCK LINK, SINGAPORE 596224, SINGAPORE %D 2017 %I WORLD SCIENTIFIC PUBL CO PTE LTD %J INTERNATIONAL JOURNAL OF MODERN PHYSICS C %K field growth; impurities} model; phase {Dendritic %N 8 %R 10.1142/S0129183117501054 %T Phase field model for dendritic growth with impurities %V 28 %X 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 can take values between 0 and 1 at each site. A site is in the solid phase for Psi > 1, in the liquid phase for Psi = 0, and the solid-liquid interface is expressed by 0 < Psi < 1. A fraction of the sites are considered impurities that cannot be solidified, i.e. Psi is fixed and taken as zero. These impurities are distributed randomly. As the probability p 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 p = 0.004, the solid undergoes a transition from anisotropic to isotropic growth.

@article{WOS:000410524200007, abstract = {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 can take values between 0 and 1 at each site. A site is in the solid phase for Psi > 1, in the liquid phase for Psi = 0, and the solid-liquid interface is expressed by 0 < Psi < 1. A fraction of the sites are considered impurities that cannot be solidified, i.e. Psi is fixed and taken as zero. These impurities are distributed randomly. As the probability p 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 p = 0.004, the solid undergoes a transition from anisotropic to isotropic growth.}, added-at = {2022-05-23T20:00:14.000+0200}, address = {5 TOH TUCK LINK, SINGAPORE 596224, SINGAPORE}, author = {Rodrigues, F L O and Almeida, M P and Filho, Raimundo N Costa}, biburl = {https://www.bibsonomy.org/bibtex/25c29a5f37f8996f419e250b5bf8c90bd/ppgfis_ufc_br}, doi = {10.1142/S0129183117501054}, interhash = {121c89b34e0b5ff47ea895a726426a46}, intrahash = {5c29a5f37f8996f419e250b5bf8c90bd}, issn = {0129-1831}, journal = {INTERNATIONAL JOURNAL OF MODERN PHYSICS C}, keywords = {field growth; impurities} model; phase {Dendritic}, number = 8, publisher = {WORLD SCIENTIFIC PUBL CO PTE LTD}, pubstate = {published}, timestamp = {2022-05-23T20:00:14.000+0200}, title = {Phase field model for dendritic growth with impurities}, tppubtype = {article}, volume = 28, year = 2017 }