Parametric links among Monte Carlo, phase-field, and sharp-interface models of interfacial motion

被引：13

作者：

Liu, P ^{[1
]}

Lusk, MT ^{[1
]}

机构：

[1] Colorado Sch Mines, Div Engn, Mat Sci Program, Golden, CO 80401 USA

来源：

PHYSICAL REVIEW E | 2002年 / 66卷 / 06期

关键词：

D O I：

10.1103/PhysRevE.66.061603

中图分类号：

O35 [流体力学]; O53 [等离子体物理学];

学科分类号：

070204 ; 080103 ; 080704 ;

摘要：

Parametric links are made among three mesoscale simulation paradigms: phase-field, sharp-interface, and Monte Carlo. A two-dimensional, square lattice, 1/2 Ising model is considered for the Monte Carlo method, where an exact solution for the interfacial free energy is known. The Monte Carlo mobility is calibrated as a function of temperature using Glauber kinetics. A standard asymptotic analysis relates the phase-field and sharp-interface parameters, and this allows the phase-field and Monte Carlo parameters to be linked. The result is derived without bulk effects but is then applied to a set of simulations with the bulk driving force included. An error analysis identifies the domain over which the parametric relationships are accurate.

引用

页数：8

共 50 条

[41] A combined kinetic Monte Carlo and phase field approach to model thermally activated dislocation motion
Peng, Xiaoyao
Mathew, Nithin
Beyerlein, Irene J.
Martinez, Enrique
Hunter, Abigail
[J]. COMPUTATIONAL MATERIALS SCIENCE, 2023, 230
[42] On the van der Waals-Cahn-Hilliard phase-field model and its equilibria conditions in the sharp interface limit
Dreyer, Wolfgang
Kraus, Christiane
[J]. PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS, 2010, 140 : 1161 - 1186
[43] Interfacial compositions of solid and liquid in a phase-field model with finite interface thickness for isothermal solidification in binary alloys
Kim, SG
Kim, WT
Suzuki, T
[J]. PHYSICAL REVIEW E, 1998, 58 (03): : 3316 - 3323
[44] DOMAIN PATTERNS AND HYSTERESIS IN PHASE-TRANSFORMING SOLIDS: ANALYSIS AND NUMERICAL SIMULATIONS OF A SHARP INTERFACE DISSIPATIVE MODEL VIA PHASE-FIELD APPROXIMATION
DeSimone, Antonio
Kruzik, Martin
[J]. NETWORKS AND HETEROGENEOUS MEDIA, 2013, 8 (02) : 481 - 499
[45] THE EXISTENCE OF TRAVELING WAVES FOR PHASE FIELD-EQUATIONS AND CONVERGENCE TO SHARP INTERFACE MODELS IN THE SINGULAR LIMIT
CAGINALP, G
NISHIURA, Y
[J]. QUARTERLY OF APPLIED MATHEMATICS, 1991, 49 (01) : 147 - 162
[46] Non-axisymmetric growth of dendrite with arbitrary symmetry in two and three dimensions: sharp interface model vs phase-field model
Toropova, L. V.
Galenko, P. K.
Alexandrov, D. V.
Rettenmayr, M.
Kao, A.
Demange, G.
[J]. EUROPEAN PHYSICAL JOURNAL-SPECIAL TOPICS, 2020, 229 (19-20): : 2899 - 2909
[47] Non-axisymmetric growth of dendrite with arbitrary symmetry in two and three dimensions: sharp interface model vs phase-field model
L. V. Toropova
P. K. Galenko
D. V. Alexandrov
M. Rettenmayr
A. Kao
G. Demange
[J]. The European Physical Journal Special Topics, 2020, 229 : 2899 - 2909
[48] A novel computational model for isotropic interfacial energies in multicomponent alloys and its coupling with phase-field model with finite interface dissipation
Yang, Shenglan
Zhong, Jing
Wang, Jiong
Gao, Jianbao
Li, Qian
Zhang, Lijun
[J]. JOURNAL OF MATERIALS SCIENCE & TECHNOLOGY, 2023, 133 : 111 - 122
[49] Multiscale simulations on the coarsening of Cu-rich precipitates in α-Fe using kinetic Monte Carlo, molecular dynamics and phase-field simulations
Molnar, David
Mukherjee, Rajdip
Choudhury, Abhik
Mora, Alejandro
Binkele, Peter
Selzer, Michael
Nestler, Britta
Schmauder, Siegfried
[J]. ACTA MATERIALIA, 2012, 60 (20) : 6961 - 6971
[50] Hierarchically refined and coarsened splines for moving interface problems, with particular application to phase-field models of prostate tumor growth
Lorenzo, G.
Scott, M. A.
Tew, K.
Hughes, T. J. R.
Gomez, H.
[J]. COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 2017, 319 : 515 - 548

← 1 2 3 4 5 →