Nucleation and growth by a phase field crystal (PFC) model

被引:92
作者
Backofen, R.
Raetz, A.
Voigt, A.
机构
[1] Res Ctr Caesar, D-53175 Bonn, Germany
[2] Tech Univ Dresden, Inst Wissenschaftliches Rechnen, D-01062 Dresden, Germany
关键词
DENSITY-FUNCTIONAL THEORY; FLUIDS;
D O I
10.1080/09500830701481737
中图分类号
T [工业技术];
学科分类号
08 ;
摘要
We review the derivation of a phase field crystal (PFC) model from classical density functional theory (DFT). Through a gradient flow of the Helmholtz free energy functional and appropriate approximations of the correlation functions, higher order nonlinear equations are derived for the evolution of a time averaged density. The equation is solved by finite elements using a semi-implicit time discretization.
引用
收藏
页码:813 / 820
页数:8
相关论文
共 11 条
[1]   Phase-field crystal modeling and classical density functional theory of freezing [J].
Elder, K. R. ;
Provatas, Nikolas ;
Berry, Joel ;
Stefanovic, Peter ;
Grant, Martin .
PHYSICAL REVIEW B, 2007, 75 (06)
[2]  
Elder KR, 2004, PHYS REV E, V70, DOI 10.1103/PhysRevE.70.051605
[3]   Modeling elasticity in crystal growth [J].
Elder, KR ;
Katakowski, M ;
Haataja, M ;
Grant, M .
PHYSICAL REVIEW LETTERS, 2002, 88 (24) :2457011-2457014
[4]   NATURE OF THE LIQUID-VAPOR INTERFACE AND OTHER TOPICS IN THE STATISTICAL-MECHANICS OF NONUNIFORM, CLASSICAL FLUIDS [J].
EVANS, R .
ADVANCES IN PHYSICS, 1979, 28 (02) :143-200
[5]   Dissipative phenomena and acoustic phonons in isothermal crystals: A density-functional theory study [J].
Majaniemi, S. ;
Grant, M. .
PHYSICAL REVIEW B, 2007, 75 (05)
[6]   Dynamic density functional theory of fluids [J].
Marconi, UMB ;
Tarazona, P .
JOURNAL OF CHEMICAL PHYSICS, 1999, 110 (16) :8032-8044
[7]   DENSITY-FUNCTIONAL THEORY OF FREEZING AND PROPERTIES OF THE ORDERED PHASE [J].
SINGH, Y .
PHYSICS REPORTS-REVIEW SECTION OF PHYSICS LETTERS, 1991, 207 (06) :351-444
[8]   Phase-field crystals with elastic interactions [J].
Stefanovic, Peter ;
Haataja, Mikko ;
Provatas, Nikolas .
PHYSICAL REVIEW LETTERS, 2006, 96 (22)
[9]   AMDiS: adaptive multidimensional simulations [J].
Vey, Simon ;
Voigt, Axel .
COMPUTING AND VISUALIZATION IN SCIENCE, 2007, 10 (01) :57-67
[10]  
Wu K., COMMUNICATION