Phase-field theory of edges in an anisotropic crystal
نویسندگان
چکیده
منابع مشابه
Diffusion-controlled anisotropic growth of stable and metastable crystal polymorphs in the phase-field crystal model.
We use a simple density functional approach on a diffusional time scale, to address freezing to the body-centered cubic (bcc), hexagonal close-packed (hcp), and face-centered cubic (fcc) structures. We observe faceted equilibrium shapes and diffusion-controlled layerwise crystal growth consistent with two-dimensional nucleation. The predicted growth anisotropies are discussed in relation with r...
متن کاملDDFT calibration and investigation of an anisotropic phase-field crystal model.
The anisotropic phase-field crystal model recently proposed and used by Prieler et al (2009 J. Phys.: Condens. Matter 21 464110) is derived from microscopic density functional theory for anisotropic particles with fixed orientation. Its morphology diagram is also explored. In particular we have investigated the influence of anisotropy and undercooling on the process of nucleation and microstruc...
متن کاملRenormalization-group theory for the phase-field crystal equation.
We derive a set of rotationally covariant amplitude equations for use in multiscale simulation of the two-dimensional phase-field crystal model by a variety of renormalization-group (RG) methods. We show that the presence of a conservation law introduces an ambiguity in operator ordering in the RG procedure, which we show how to resolve. We compare our analysis with standard multiple-scale tech...
متن کاملThermodynamically consistent phase field theory of phase transformations with anisotropic interface energies and stresses
The main focus of this paper is to introduce, in a thermodynamically consistent manner, an anisotropic interface energy into a phase field theory for phase transformations. Here we use a small strain formulation for simplicity, but we retain some geometric nonlinearities, which are necessary for introducing correct interface stresses. Previous theories have assumed the free energy density (i.e....
متن کاملStable phase field approximations of anisotropic solidification
We introduce unconditionally stable finite element approximations for a phase field model for solidification, which take highly anisotropic surface energy and kinetic effects into account. We hence approximate Stefan problems with anisotropic Gibbs–Thomson law with kinetic undercooling, and quasi-static variants thereof. The phase field model is given by θwt + λ %(φ)φt = ∇ . (b(φ)∇w) , cΨ a α %...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences
سال: 2006
ISSN: 1364-5021,1471-2946
DOI: 10.1098/rspa.2006.1721