Morphological evolution during epitaxial thin film growth: Formation of 2D islands and 3D mounds

JW Evans, PA Thiel, MC Bartelt - Surface science reports, 2006‏ - Elsevier
Homoepitaxy provides an ideal testing ground for fundamental concepts in film growth. The
rich variety of complex far-from-equilibrium morphologies which can form during deposition …

Multiscale computational modeling techniques in study and design of 2D materials: recent advances, challenges, and opportunities

MA Zaeem, S Thomas, S Kavousi, N Zhang… - 2D …, 2024‏ - iopscience.iop.org
This article provides an overview of recent advances, challenges, and opportunities in
multiscale computational modeling techniques for study and design of two-dimensional (2D) …

Comparison of phase-field models for surface diffusion

C Gugenberger, R Spatschek, K Kassner - Physical Review E—Statistical …, 2008‏ - APS
The description of surface-diffusion controlled dynamics via the phase-field method is less
trivial than it appears at first sight. A seemingly straightforward approach from the literature is …

A discrete‐domain description of multiphase flow in porous media: Rugged energy landscapes and the origin of hysteresis

L Cueto‐Felgueroso, R Juanes - Geophysical Research Letters, 2016‏ - Wiley Online Library
We propose a discrete‐domain model to describe mesoscale (many pore) immiscible
displacements in porous media. We conceptualize the porous medium and fluid system as a …

Lectures on dynamics in models of coarsening and coagulation

RL Pego - Dynamics in models of coarsening, coagulation …, 2007‏ - books.google.com
1.1. These lectures are intended to serve as a rough introduction to a variety of mathematical
problems aimed at understanding dynamic behavior in certain complex nonlinear physical …

Finite element method for epitaxial growth with attachment–detachment kinetics

E Bänsch, F Haußer, O Lakkis, B Li, A Voigt - Journal of Computational …, 2004‏ - Elsevier
An adaptive finite element method is developed for a class of free or moving boundary
problems modeling island dynamics in epitaxial growth. Such problems consist of an …

Analysis of the diffuse domain method for second order elliptic boundary value problems

M Burger, OL Elvetun, M Schlottbom - Foundations of Computational …, 2017‏ - Springer
The diffuse domain method for partial differential equations on complicated geometries
recently received strong attention in particular from practitioners, but many fundamental …

Study of the peritectic phase transformation kinetics with elastic effect in the Fe–C system by quantitative phase-field modeling

H Parida, J Kundin, CLM Alves - Computational Materials Science, 2023‏ - Elsevier
A quantitative phase-field model developed for two-phase growth process (Folch and Plapp,
2005) is applied to the simulation of peritectic phase transformation in a Fe–C binary alloy …

Contrasting morphologies of O-rich ZnO epitaxy on Zn-and O-polar thin film surfaces: Phase-field model

YM Yu, BG Liu - Physical Review B—Condensed Matter and Materials …, 2008‏ - APS
The island growths during the epitaxy of differently polar ZnO thin films under O-rich
condition are simulated in terms of a phase-field model. The different island nucleation …

A boundary integral method for computing the dynamics of an epitaxial island

S Li, X Li - SIAM Journal on Scientific Computing, 2011‏ - SIAM
In this paper, we present a boundary integral method for computing the quasi-steady
evolution of an epitaxial island. The problem consists of an adatom diffusion equation (with …