Classical dynamical density functional theory: from fundamentals to applications

M te Vrugt, H Löwen, R Wittkowski - Advances in Physics, 2020 - Taylor & Francis
Classical dynamical density functional theory (DDFT) is one of the cornerstones of modern
statistical mechanics. It is an extension of the highly successful method of classical density …

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 …

How crystals form: A theory of nucleation pathways

JF Lutsko - Science advances, 2019 - science.org
Recent advances in classical density functional theory are combined with stochastic process
theory and rare event techniques to formulate a theoretical description of nucleation …

A coupled Cellular Automaton–Lattice Boltzmann model for grain structure simulation during additive manufacturing

A Rai, M Markl, C Körner - Computational Materials Science, 2016 - Elsevier
Abstract A 2D coupled Cellular Automaton (CA)–Lattice Boltzmann (LB) model has been
developed to simulate grain structure evolution during powder–bed–based, layer by layer …

[HTML][HTML] Phase-field modeling of crystal nucleation in undercooled liquids–A review

L Gránásy, GI Tóth, JA Warren, F Podmaniczky… - Progress in Materials …, 2019 - Elsevier
We review how phase-field models contributed to the understanding of various aspects of
crystal nucleation, including homogeneous and heterogeneous processes, and their role in …

Effect of porous media and its distribution on methane hydrate formation in the presence of surfactant

Z Zhang, Z Liu, Z Pan, FM Baena-Moreno… - Applied Energy, 2020 - Elsevier
Hydrates are mainly stored within sediment pores in nature. Therefore, understanding their
formation characteristics within the porous space is essential to the transportation of natural …

Effect of silica sand size and saturation on methane hydrate formation in the presence of SDS

Z Pan, Z Liu, Z Zhang, L Shang, S Ma - Journal of Natural Gas Science and …, 2018 - Elsevier
Abundant reserves of natural gas hydrates are hosted in the pores of sediment layers, and
the hydrate-based technology could be widely used in industry. In this work, the formation …

Phase-field-crystal methodology for modeling of structural transformations

M Greenwood, J Rottler, N Provatas - … E—Statistical, Nonlinear, and Soft Matter …, 2011 - APS
We introduce and characterize free-energy functionals for modeling of solids with different
crystallographic symmetries within the phase-field-crystal methodology. The excess free …

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

AJ Archer, DJ Ratliff, AM Rucklidge, P Subramanian - Physical Review E, 2019 - APS
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 …

A review of dendritic growth during solidification: Mathematical modeling and numerical simulations

MA Jaafar, DR Rousse, S Gibout… - … and Sustainable Energy …, 2017 - Elsevier
Dendritic growth is one of the most common microstructures in metal and solution
solidification. The subject of dendritic growth has received much attention from both scientific …