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.
%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
}