Deriving phase field crystal theory from dynamical density functional theory: Consequences of the approximations

Deriving phase field crystal theory from dynamical density functional theory: Consequences of the approximations

<p>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 from dynamical density functional theory (DDFT) via a sequence of approximations. Here, we carefully identify al...

Descripció completa

Dades bibliogràfiques
Autors principals:	Archer, A, Ratliff, D, Rucklidge, A, Subramanian, P
Format:	Journal article
Publicat:	American Physical Society 2019

Ítems similars

The density distribution in soft matter crystals and quasicrystals
per: Subramanian, P, et al.
Publicat: (2021)

Three-dimensional icosahedral phase field quasicrystal
per: Subramanian, P, et al.
Publicat: (2016)

Which wave numbers determine the thermodynamic stability of soft matter quasicrystals?
per: Ratliff, DJ, et al.
Publicat: (2019)

Describing phase transitions in field theory by self-similar approximants
per: Yukalov V.I., et al.
Publicat: (2019-01-01)

Dielectric Response of Yttria–Zirconia Ordered Solids Within Density-Functional Theory in the Random-Phase Approximation
per: A. G. Marinopoulos
Publicat: (2024-12-01)

Theory of lattice dynamics in the harmonic approximation /
per: Maradudin, A. A.
Publicat: (1971)

Density Problem and Approximation Error in Learning Theory
per: Ding-Xuan Zhou
Publicat: (2013-01-01)

Introducing the Random Phase Approximation Theory
per: Giampaolo Co’
Publicat: (2023-03-01)

Approximation theory /
per: 354386 Talbot, A.
Publicat: (1970)

Consequences of Gödel theorems on third quantized theories like string field theory and group field theory
per: Mir Faizal, et al.
Publicat: (2025-01-01)

Spline functions and approximation theory /
per: Meir, A., et al.
Publicat: (1973)

EXTENSION OF EIKONAL APPROXIMATION IN QUANTUM FIELD THEORY
per: Cardy, J
Publicat: (1971)

Matrix product approximations to conformal field theories
per: Robert König, et al.
Publicat: (2017-07-01)

Approximation theory /
per: 199501 Lorentz, G. G.
Publicat: (1973)

Theory of approximation /
per: Akhiezer, Naum Ilich, 1901-
Publicat: (1956)

Approximation theory /
per: Muller, Manfred W., et al.
Publicat: (1995)

Non-adiabatic approximations in time-dependent density functional theory: progress and prospects
per: Lionel Lacombe, et al.
Publicat: (2023-07-01)

Learning theory : an approximation theory viewpoint /
per: 244945 Cucker, Felipe, et al.
Publicat: (2007)

Recent Theories and Applications in Approximation Theory
per: Fazlollah Soleymani, et al.
Publicat: (2015-01-01)

Approximation theory IV /
per: Chui, C. K., et al.
Publicat: (1983)

Theoretical study of the sodium chloraid crystal using density functional theory
per: H. Akbarzadeh, et al.
Publicat: (2000-10-01)

Approximation theory and spline functions /
per: Singh, S. P. (Sankatha Prasad), 1937-, et al.
Publicat: (1983)

Combining embedded mean-field theory with linear-scaling density-functional theory
per: Prentice, JCA, et al.
Publicat: (2019)

Dynamical theory of crystal lattices/
per: Born, Max, 1882-1970, et al.
Publicat: (1954)

Spatially localized quasicrystalline structures
per: Subramanian, P, et al.
Publicat: (2018)

Density-matrix mean-field theory
per: Junyi Zhang, Zhengqian Cheng
Publicat: (2024-08-01)

Application of density functional theory to calculation of in-crystal anionic polarizability
per: Domene, C, et al.
Publicat: (1999)

Mineralogical applications of crystal field theory /
per: Burns, Roger G., (Roger George), 1937-
Publicat: (1993)

Mineralogical applications of crystal field theory/
per: 231309 Burns, Roger G.
Publicat: (1970)

Spatiotemporal chaos and quasipatterns in coupled reaction–diffusion systems
per: Castelino, JK, et al.
Publicat: (2020)

Approximation theory and imbedding problems
per: A.B. Németh
Publicat: (1973-02-01)

Approximation theory and imbedding problems
per: A.B. Németh
Publicat: (1973-02-01)

Approximation theory and numerical methods /
per: 415314 Watson, G. A.
Publicat: (1980)

Multivariate approximation theory /
per: Schempp, W.
Publicat: (1979)

Approximation theory and methods /
per: 336677 Powell, M. J. D.
Publicat: (1981)

Elements of approximation theory /
per: 394850 Nachbin, Leopoldo
Publicat: (1967)

Topics in approximation theory /
per: 351854 Shapiro, Harold S.
Publicat: (1971)

Nonlinear approximation theory /
per: 288553 Braess, Dietrich
Publicat: (1986)

Introduction to approximation theory /
per: 260425 Cheney, Ward
Publicat: (1966)

Journal of approximation theory
Publicat: (1968)