Phase-field-crystal models for condensed matter dynamics on atomic length and diffusive time scales: an overview
H Emmerich, H Löwen, R Wittkowski, T Gruhn… - Advances in …, 2012 - Taylor & Francis
Here, we review the basic concepts and applications of the phase-field-crystal (PFC)
method, which is one of the latest simulation methodologies in materials science for …
method, which is one of the latest simulation methodologies in materials science for …
A second order accurate scalar auxiliary variable (SAV) numerical method for the square phase field crystal equation
M Wang, Q Huang, C Wang - Journal of Scientific Computing, 2021 - Springer
In this paper we propose and analyze a second order accurate (in time) numerical scheme
for the square phase field crystal equation, a gradient flow modeling crystal dynamics at the …
for the square phase field crystal equation, a gradient flow modeling crystal dynamics at the …
A review of quantitative phase-field crystal modeling of solid–liquid structures
E Asadi, M Asle Zaeem - Jom, 2015 - Springer
Phase-field crystal (PFC) is a model with atomistic-scale details acting on diffusive time
scales. PFC uses the density field as its order parameter, which takes a constant value in the …
scales. PFC uses the density field as its order parameter, which takes a constant value in the …
An energy stable BDF2 Fourier pseudo-spectral numerical scheme for the square phase field crystal equation
In this paper we propose and analyze an energy stable numerical scheme for the square
phase field crystal (SPFC) equation, a gradient flow modeling crystal dynamics at the atomic …
phase field crystal (SPFC) equation, a gradient flow modeling crystal dynamics at the atomic …
Phase-field-crystal methodology for modeling of structural transformations
We introduce and characterize free-energy functionals for modeling of solids with different
crystallographic symmetries within the phase-field-crystal methodology. The excess free …
crystallographic symmetries within the phase-field-crystal methodology. The excess free …
[图书][B] Nonlocal Modeling, Analysis, and Computation: Nonlocal Modeling, Analysis, and Computation
Q Du - 2019 - SIAM
Nonlocal Modeling, Analysis, and Computation : Back Matter Page 1 Bibliography [1] L.
ABDELOUHAB, J. BONA, M. FELLAND, AND J.-C. SAUT, Nonlocal models for nonlinear …
ABDELOUHAB, J. BONA, M. FELLAND, AND J.-C. SAUT, Nonlocal models for nonlinear …
Deriving phase field crystal theory from dynamical density functional theory: consequences of the approximations
Phase field crystal (PFC) theory is extensively used for modeling the phase behavior,
structure, thermodynamics, and other related properties of solids. PFC theory can be derived …
structure, thermodynamics, and other related properties of solids. PFC theory can be derived …
Exploring the complex world of two-dimensional ordering with three modes
SK Mkhonta, KR Elder, ZF Huang - Physical review letters, 2013 - APS
The world of two-dimensional crystals is of great significance for the design and study of
structural and functional materials with novel properties. Here we examine the mechanisms …
structural and functional materials with novel properties. Here we examine the mechanisms …
Structural phase field crystal approach for modeling graphene and other two-dimensional structures
M Seymour, N Provatas - Physical Review B, 2016 - APS
This paper introduces a new structural phase field crystal (PFC) type model that expands the
PFC methodology to a wider class of structurally complex crystal structures than previously …
PFC methodology to a wider class of structurally complex crystal structures than previously …
Convergence analysis and numerical implementation of a second order numerical scheme for the three-dimensional phase field crystal equation
In this paper we analyze and implement a second-order-in-time numerical scheme for the
three-dimensional phase field crystal (PFC) equation. The numerical scheme was proposed …
three-dimensional phase field crystal (PFC) equation. The numerical scheme was proposed …